tag:blogger.com,1999:blog-50743318657593959412024-02-20T02:46:57.963-05:00Papiroflexia Modular Lic. Javier Ortiz C.Unknownnoreply@blogger.comBlogger33125tag:blogger.com,1999:blog-5074331865759395941.post-63591833297960570882016-03-06T11:58:00.002-05:002016-03-12T17:35:19.443-05:00Geometría Euclidiana Escolar: Proyecto Papiroflexia Modular<div class="separator" style="clear: both; text-align: center;">
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<b style="text-align: center;"><span class="Apple-style-span" style="text-align: justify;">La papiroflexia modular es un antiguo arte japonés, que consiste en plegar unidades o módulos de papel, las cuales serán imbricadas, para construir diversas formas o elaborar esculturas de papel.</span></b><br />
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<b style="text-align: center;"><span class="Apple-style-span" style="text-align: justify;">Hace más de una década practico este hermosos arte y he diseñado variadas actividades, desde un enfoque constructivista, para que mis estudiantes aprendan y exploren la geometría euclidiana a través de la </span></b><b style="text-align: center;"><span class="Apple-style-span" style="text-align: justify;">papiroflexia. </span></b><b style="text-align: center;"><span class="Apple-style-span" style="text-align: justify;"><span style="font-weight: bold;"><span lang="ES">Actualmente es un desafió lograr la atención de los educandos hacia las matemáticas, les causa temor y produce pavor todo lo relacionado con ella. C</span></span></span></b><b style="text-align: center;"><span class="Apple-style-span" style="text-align: justify;"><span style="font-weight: bold;"><span lang="ES">on el ánimo de contribuir a mi profesión docente y a un aprendizaje significativo</span></span><span style="font-weight: bold;"><span lang="ES">, continuamente investigo desde diferentes fuentes el arte de la papiroflexia modular, planeo actividades, encontrándome cada día en el aula de clases con una herramienta cautivadora que me ha permitido explorar, no solo la geometría euclidiana, sino las matemáticas en general.</span></span></span></b><br />
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<b style="text-align: center;"><span class="Apple-style-span" style="text-align: justify;">Desde el punto de vista de la educación matemática, la papiroflexia modular, ha sido poco explorada. </span></b><b style="text-align: center;"><span style="text-align: justify;"><span lang="ES-CO">Incorporar esta tecnología o herramienta en la didáctica de las matemáticas permitirá que nuestros estudiantes se apropien de la geometría, sientan gusto por ella, además de potenciar los pensamientos matemáticos y lograr coherencia vertical y horizontal de los estándares de matemáticas escolares en Colombia. </span></span></b><br />
<b style="text-align: center;"><span class="Apple-style-span" style="text-align: justify;">Para los jóvenes es muy agradable este tipo de actividades lúdicas y se observan excelentes resultados de aprendizaje, al potenciar los pensamientos métrico y espacial, permitir el desarrollo de habilidades geométricas, topológicas, motrices y despertar el interés del estudiante por el aprendizaje. </span></b><br />
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<b style="text-align: center;"><span class="Apple-style-span" style="text-align: justify;">El objetivo de esta página es aportar ideas, elementos didácticos, materiales para el aprendizaje y convencer a los seguidores, docentes y comunidad en general, que la papiroflexia modular e</span></b><b style="text-align: center;"><span class="Apple-style-span" style="text-align: justify;"><span lang="ES-CO">s una herramienta muy poderosa en el aula de clase, debido a que permite aprender y recrear, desde la lúdica y la significación, la geometría euclidiana escolar. </span></span></b><br />
<b style="text-align: center;"><span style="text-align: justify;"><span lang="ES-CO">Igualmente, a través de este medio, espero poder compartir con ustedes, estimados lectores, las obras de arte que he podido construir hasta el momento y las de mis estudiantes. En caso tal, si te animas, podríamos contactarnos para ampliar información que te permita explorar el maravilloso mundo de la geometría euclidiana a través de la papiroflexia.</span></span></b><br />
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<span style="font-weight: bold;"><span lang="ES" style="font-family: "vrinda";"><br /></span></span>
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<span style="font-size: 180%; font-weight: bold;"><span lang="ES" style="font-family: "vrinda";"><span style="color: rgb(255 , 0 , 0);">MENCIÓN DE HONOR:<br /><span style="color: rgb(102 , 0 , 204);">PREMIO COMPARTIR AL MAESTRO</span></span></span></span><span style="color: rgb(51 , 51 , 255); font-size: 180%; font-weight: bold;"><span lang="ES" style="font-family: "vrinda";"><span style="color: rgb(102 , 0 , 204);"></span><br /><span style="color: rgb(102 , 0 , 204);">GIMNASIO LOS FARALLONES VALLE DEL LILLY</span></span></span></div>
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<span style="font-size: 180%; font-weight: bold;"><span lang="ES" style="font-family: "vrinda";"><br /></span></span>
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<span style="font-size: 180%; font-weight: bold;"><span lang="ES" style="font-family: "vrinda";"><span style="color: rgb(255 , 0 , 0);">PRESENTACIÓN EN EL FORO:</span></span></span><br />
<span style="color: rgb(51 , 51 , 255); font-size: 180%; font-weight: bold;"><span lang="ES" style="font-family: "vrinda";">EXPERIENCIAS SIGNIFICATIVAS </span></span><br />
<span style="color: rgb(51 , 51 , 255); font-size: 180%; font-weight: bold;"><span lang="ES" style="font-family: "vrinda";">INSTITUCIÓN EDUCATIVA DE ROZO</span></span><br />
<span style="color: rgb(51 , 51 , 255); font-size: 180%; font-weight: bold;"><span lang="ES" style="font-family: "vrinda";">PALMIRA - VALLE</span></span><br />
<span style="font-size: 180%; font-weight: bold;"><span lang="ES" style="font-family: "vrinda";"><span style="color: rgb(255 , 0 , 0);"></span></span></span></div>
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<div style="text-align: center;">
<span style="font-size: 180%; font-weight: bold;"><span lang="ES" style="font-family: "vrinda";"><span style="color: rgb(255 , 0 , 0);">TALLER DE PAPIROFLEXIA PARA DOCENTES</span></span></span><span style="color: rgb(51 , 51 , 255); font-size: 180%; font-weight: bold;"><span lang="ES" style="font-family: "vrinda";"><br /></span></span><span style="color: rgb(51 , 51 , 255); font-size: 180%; font-weight: bold;"><span lang="ES" style="font-family: "vrinda";">INSTITUCIÓN EDUCATIVA DE ROZO</span></span></div>
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Unknownnoreply@blogger.com5tag:blogger.com,1999:blog-5074331865759395941.post-64970229344941816022012-10-28T01:55:00.001-05:002016-03-06T11:51:22.104-05:00LA PAPIROFLEXIA MODULAR COMO UN RECURSO LÚDICO PARA CONSTRUIR Y EXPLORAR LA GEOMETRÍA FRACTAL<div class="" style="clear: both; text-align: justify;">
<span style="font-family: "arial" , "helvetica" , sans-serif;">Cordial saludo. A través de este medio agradezco a todos los directivos, estudiantes y profesores de la Universidad Santiago de Cali, por su asistencia, compromiso y participación en la elaboración de las actividades programadas en la conferencia-taller-exposición <b><span style="color: blue;">"La papiroflexia modular como un recurso para construir y explorar la geometría fractal"</span></b>, realizada el día de hoy 27 de octubre de 2012. Especialmente deseo agradecer al Director de Ciencias Básicas, <b>Maestro Msc. Jairo Apraez</b>, mi profesor de matemáticas en el bachillerato, porque sus enseñanzas y motivación influyeron de manera asertiva en el gusto y dedicación que tengo actualmente por la enseñanza de las matemáticas.</span></div>
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<iframe allowfullscreen="allowfullscreen" frameborder="0" height="511" marginheight="0" marginwidth="0" scrolling="no" src="http://www.slideshare.net/slideshow/embed_code/14917170" style="border-width: 1px 1px 0; border: 1px solid #CCC; margin-bottom: 5px;" width="479"> </iframe> </div>
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<strong> <a href="http://www.slideshare.net/licjavierortizc/folleto-fractales" target="_blank" title="Folleto fractales">Folleto fractales</a> </strong> from <strong><a href="http://www.slideshare.net/licjavierortizc" target="_blank">licjavierortizc</a></strong> </div>
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<span style="font-family: "arial" , "helvetica" , sans-serif;">Las personas interesadas en ampliar la información o concretar las actividades del taller, me pueden contactar a través de este blog o de mi correo electrónico: <span style="color: blue;">lic.javierortizc@gmail.com, </span>con mucho gusto los atenderé.</span></div>
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<span style="font-family: "arial" , "helvetica" , sans-serif;"><br /></span>Unknownnoreply@blogger.com73tag:blogger.com,1999:blog-5074331865759395941.post-78448740851300758882012-09-23T17:42:00.001-05:002012-09-23T22:35:29.252-05:00Proyecto final Santa Rosa 2012<div class="separator" style="clear: both; text-align: center;">
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<span style="color: blue; font-family: Arial, Helvetica, sans-serif;"><b>Construcción de Cisnes en Papiroflexia Modular</b></span></div>
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<span style="font-family: Arial, Helvetica, sans-serif;">Cordial saludo para todas las personas que me visitan. El día de hoy quiero presentar una pequeña muestra de la construcción que están realizando mis estudiantes de la I.E Santa Rosa. La mayoría tiene elaborado los módulos y precisamente a partir de la próxima semana iniciaremos la construcción de esta fabulosa obra de arte. Obviamente que esta muestra que he elaborado es la más fea de todas, porque las de mis estudiantes serán espectaculares.</span></div>
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<span style="font-family: Arial, Helvetica, sans-serif;">Y quien dijo que estudiar geometría era aburrido, pues aquí les muestro lo que se puede hacer con trozos de hojas rectangulares, de proporciones 1:2 que posteriormente se transformarán en triángulos rectángulos isósceles.</span></div>
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Unknownnoreply@blogger.com9tag:blogger.com,1999:blog-5074331865759395941.post-91402585833356669172012-01-17T11:27:00.003-05:002012-01-17T11:47:01.031-05:00Polígonos: Estrellas de 8 puntas<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhR4RVcxEyGZDRe6T4Sy6Rcl-_zV3T68n2jOOZgVOSahxGr9hqu04ugHSEuAJniejW5P4H_-0PyV8cR3-2G6ib4iMDG6oRtaPm1WzRRv_QMYAZe0xpjeh5TN3e0IqIB5ThIGXcOkDy35gM/s1600/IMG_3302.JPG"><img style="display:block; margin:0px auto 10px; text-align:center;cursor:pointer; cursor:hand;width: 400px; height: 300px;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhR4RVcxEyGZDRe6T4Sy6Rcl-_zV3T68n2jOOZgVOSahxGr9hqu04ugHSEuAJniejW5P4H_-0PyV8cR3-2G6ib4iMDG6oRtaPm1WzRRv_QMYAZe0xpjeh5TN3e0IqIB5ThIGXcOkDy35gM/s400/IMG_3302.JPG" alt="" id="BLOGGER_PHOTO_ID_5698639566601035650" border="0" /></a><a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhE4zOSao2fIdwTPwuNp6Bqy9ljDg2i98gkOTAVHwFjAByd6v5XRhH30HdnN0I6o17BE-xVkaMby1ZUH6kdrtHtWKLPyJ373Gk0FzAvaNyO3OurWO4jaTX0DjiZRL8jMT_6T-b-1w2ImMY/s1600/IMG_3308.JPG"><img style="display:block; 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margin:0px auto 10px; text-align:center;cursor:pointer; cursor:hand;width: 300px; height: 400px;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj_k2RHaPUNlF_3gALqyieVvFkU-qpC0SisSC85dtMvXXeybswkFtIUFLU0RV5Ulf9C_ECWxZngj6JlC7Ny5XBkfo7ZG4ZIlov0NtrCxhMmDZXr4HDElyBasN2qPjKaiNz_8clAiq8ecuc/s400/IMG_3306.JPG" alt="" id="BLOGGER_PHOTO_ID_5698639605624840034" border="0" /></a>Unknownnoreply@blogger.com34tag:blogger.com,1999:blog-5074331865759395941.post-76490816825649878252012-01-15T21:42:00.003-05:002012-01-15T22:09:22.514-05:00ICOSAEDRO TRUNCADO<a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg87snej1EXKiQBN9FANZYs88xGQYoOB70l6xgue9kTomdyllrGwGlAw2uOzQkr_HRil9N8N2CyvFmR_FWi6K3Ptkpb-2-Cv6xcCZv4wYZ2Ir1ohXnHse1g6FFLgAO4B0_8c3WaiLs660Y/s1600/IMG_3299.JPG"><img style="display:block; margin:0px auto 10px; text-align:center;cursor:pointer; cursor:hand;width: 300px; height: 400px;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg87snej1EXKiQBN9FANZYs88xGQYoOB70l6xgue9kTomdyllrGwGlAw2uOzQkr_HRil9N8N2CyvFmR_FWi6K3Ptkpb-2-Cv6xcCZv4wYZ2Ir1ohXnHse1g6FFLgAO4B0_8c3WaiLs660Y/s400/IMG_3299.JPG" alt="" id="BLOGGER_PHOTO_ID_5698061497763976962" border="0" /></a><br /><a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiF2gSpPJRKvQMidRG97cNbBquQ7FCWY-0zfYErjt7vXHxLhAbxfsb5ZHZKmDnyvNtJbcs6G_M3pSZ2V8487dFW_vyHUNnhfbUXIHnaJX6SSOV0Cc9Vhr0kTBQRIlbkvAMma6Ed9ULfP4o/s1600/IMG_3298.JPG"><img style="display:block; 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color: rgb(51, 51, 255);font-size:180%;" >Gran Dodecaedro Estrellado</span><br /></div><div style="text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgln9w1GTKSrSVqy_VbKPVpQ-U71X4rBuG0EmozWq0NOO-mE5BUXa3KBStwKHjM9EFk8iUEe4v-rcC3kt6ZM8YrtY-AkYvZ9_o_DbTgcFGKVtYdT5GZTn7k2-0A_hVOkvcXsThxG3oTKg8/s1600/IMG_3289.JPG"><img style="cursor: pointer; width: 129px; height: 171px;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgln9w1GTKSrSVqy_VbKPVpQ-U71X4rBuG0EmozWq0NOO-mE5BUXa3KBStwKHjM9EFk8iUEe4v-rcC3kt6ZM8YrtY-AkYvZ9_o_DbTgcFGKVtYdT5GZTn7k2-0A_hVOkvcXsThxG3oTKg8/s200/IMG_3289.JPG" alt="" id="BLOGGER_PHOTO_ID_5696918869712676002" border="0" /></a><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjy0I-h8BoFenU-POc867_JXWFdnavVn9psFzBBtgfhZlU2eiTne_Av9Y4gDVK2PAf1mFYaEHFu5ACFsgXwAk73YLyHURAPMCrh5Hm7kfD6J0NZzaqpAYpmAegjQwUCtYsfWrOfw74BoyM/s1600/IMG_3293.JPG"><img style="cursor: pointer; width: 128px; height: 171px;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjy0I-h8BoFenU-POc867_JXWFdnavVn9psFzBBtgfhZlU2eiTne_Av9Y4gDVK2PAf1mFYaEHFu5ACFsgXwAk73YLyHURAPMCrh5Hm7kfD6J0NZzaqpAYpmAegjQwUCtYsfWrOfw74BoyM/s200/IMG_3293.JPG" alt="" id="BLOGGER_PHOTO_ID_5696919553408314178" border="0" /></a><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjvh6TjDDPo4I54vXxtvc_g8qB3yFYwOZEa9eS8WDrv1TtslGlbqvoYDkuaUGJJJLHOD_l1nMAAygWCWTDsRwfzATP0f8f6nF33poGE8PWIFTYf6GexBYq4xzng2VpgHV2h6DkIrMg2_4U/s1600/IMG_3292.JPG"><img style="cursor: pointer; width: 129px; height: 171px;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjvh6TjDDPo4I54vXxtvc_g8qB3yFYwOZEa9eS8WDrv1TtslGlbqvoYDkuaUGJJJLHOD_l1nMAAygWCWTDsRwfzATP0f8f6nF33poGE8PWIFTYf6GexBYq4xzng2VpgHV2h6DkIrMg2_4U/s200/IMG_3292.JPG" alt="" id="BLOGGER_PHOTO_ID_5696919139251521394" border="0" /></a><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhuRNbBemgl036QYSi3Pd1wbpxQ8kx4udWy36ThRlU_l-bScl2AbYimdnMgMKXZH8FOEqhjfJfJjQsK4YlhSPF0Vt0Gt9gd1vFyA19TWRjKGKFMPnJFckxH_vKYHWxShVkTp9usMYM1Dp0/s1600/IMG_3249.JPG"><img style="cursor: pointer; width: 129px; height: 171px;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhuRNbBemgl036QYSi3Pd1wbpxQ8kx4udWy36ThRlU_l-bScl2AbYimdnMgMKXZH8FOEqhjfJfJjQsK4YlhSPF0Vt0Gt9gd1vFyA19TWRjKGKFMPnJFckxH_vKYHWxShVkTp9usMYM1Dp0/s200/IMG_3249.JPG" alt="" id="BLOGGER_PHOTO_ID_5696920247369978626" border="0" /></a><br /><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh5HLthgdLaWzvROA1cG78RrL4J7qKBdM7rgrpDvTCrQF4itNb3s9M2LDTDj9rOU_v0USP6J2l3IlaqEOGGYQwxxTCQN7_AxFFNGBOQwJBKm2_4eppNoRNYwDhU0nzEMJxf7j1IVY6tK8A/s1600/IMG_3244.JPG"><img style="cursor: pointer; width: 209px; height: 157px;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh5HLthgdLaWzvROA1cG78RrL4J7qKBdM7rgrpDvTCrQF4itNb3s9M2LDTDj9rOU_v0USP6J2l3IlaqEOGGYQwxxTCQN7_AxFFNGBOQwJBKm2_4eppNoRNYwDhU0nzEMJxf7j1IVY6tK8A/s200/IMG_3244.JPG" alt="" id="BLOGGER_PHOTO_ID_5696917914558275554" border="0" /></a><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjDdxV6-nizHPpLbWtZ5xOXG-1jSUslLxzmMw7Q5SHO9oubsn3v6Ex7qw5BOJluYE-h3KpFyvFJos-rps2OVia9qnKCgj5-26BdPLw64UIEo5kHo7r0W3812t9KJ4ujXDBgm_QLn_ybBEc/s1600/IMG_3243.JPG"><img style="cursor: pointer; width: 206px; height: 157px;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjDdxV6-nizHPpLbWtZ5xOXG-1jSUslLxzmMw7Q5SHO9oubsn3v6Ex7qw5BOJluYE-h3KpFyvFJos-rps2OVia9qnKCgj5-26BdPLw64UIEo5kHo7r0W3812t9KJ4ujXDBgm_QLn_ybBEc/s200/IMG_3243.JPG" alt="" id="BLOGGER_PHOTO_ID_5696917665381040994" border="0" /></a><br /><br /><div style="text-align: justify;">Los sólidos de Kepler fueron definidos por Johannes Kepler en 1619, cuando notó que los dodecaedros estrellados (tanto el grande como el pequeño) se componían de dodecaedros "ocultos" (con caras pentagonales) que tienen caras compuestas de triángulos, tomando la apariencia de estrellas estilizadas. En realidad, Wenzel Jamnitzer halló el gran dodecaedro estrellado en el siglo XVI, y Paolo Uccello descubrió y dibujó el pequeño dodecaedro estrellado en el siglo XV. La contribución de Kepler fue reconocer que cumplían con la definición de sólidos regulares, aunque fueran cóncavos en lugar de convexos como los tradicionales sólidos platónicos. Los otros dos, el gran icosaedro y el gran dodecaedro, fueron descritos por Louis Poinsot en 1809, razón por la que en alguna literatura aparecen como Sólidos de Poinsot.<br /><br /></div></div><a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhOLZnwG99bytYxCL0JdxXGKIbl-iyp8OHcU7RoI3LUiQXC8cfG_agX3Mlf5rC5LN6fkKSj6xKAebVoQMN_Lkn_neizvaK0U2mq_e9TgKtkjBWah8Q8GCFFUj33T3MLCCOuIr1kxXuoquk/s1600/IMG_2126.JPG"><img style="margin: 0px auto 10px; display: block; text-align: center; cursor: pointer; width: 393px; height: 292px;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhOLZnwG99bytYxCL0JdxXGKIbl-iyp8OHcU7RoI3LUiQXC8cfG_agX3Mlf5rC5LN6fkKSj6xKAebVoQMN_Lkn_neizvaK0U2mq_e9TgKtkjBWah8Q8GCFFUj33T3MLCCOuIr1kxXuoquk/s400/IMG_2126.JPG" alt="" id="BLOGGER_PHOTO_ID_5472816495673651154" border="0" /></a><div style="text-align: center;"><a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhe5w_eKe-UzL9w1kKtay1xj4v23gq5a3zzx2xcB_iP_ctmdBLZsF_vDKqlQ3KbS5AUfbsPToUTt6kxF4ER96FxWA784ObHY2qNjjBh7GokluP-zgGxXySTKvfK25jgxOnFHiQzqCHb_Sw/s1600/IMG_2101.JPG"><img style="margin: 0px auto 10px; 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display: block; text-align: center; cursor: pointer; width: 400px; height: 300px;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjQEDDsbFX98SLASF7Y9440o8Y7qMQdJc_YBC4B4ROpBClRjwRMMUfUroX4-oDFfcjnIWDXw39JkO05jNPtNASNJUqrr6T-PrO_-N2CbHkFzR-lwrIvnhr3GkrUps9YGDlTKLDNeJoRRO4/s400/IMG_2133.JPG" alt="" id="BLOGGER_PHOTO_ID_5472815794944842370" border="0" /></a>Unknownnoreply@blogger.com15tag:blogger.com,1999:blog-5074331865759395941.post-42056984065526650452011-09-26T22:28:00.019-05:002011-11-13T16:42:59.009-05:00SÓLIDOS ARQUIMEDIANOS: ICOSIDODECAEDROS<a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhI04aDlLxnpXJUoL1mvrL1wTvgoZbbCa-Hpe1-bPBr-p9lMp4rfav6qtGCawxHp2Iy6302ZysVnRjv1-CGDH01QXdfjBvD9BtfzSSUOUZBqBrC7WHYnj4VgHMQ-ot0YVMSnrAtXgPYueI/s1600/Dibujo+ICOSIDODECAEDROS.bmp"><img style="display: block; margin: 0px auto 10px; text-align: center; cursor: pointer; width: 343px; height: 24px;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhI04aDlLxnpXJUoL1mvrL1wTvgoZbbCa-Hpe1-bPBr-p9lMp4rfav6qtGCawxHp2Iy6302ZysVnRjv1-CGDH01QXdfjBvD9BtfzSSUOUZBqBrC7WHYnj4VgHMQ-ot0YVMSnrAtXgPYueI/s400/Dibujo+ICOSIDODECAEDROS.bmp" alt="" id="BLOGGER_PHOTO_ID_5674598727571927282" border="0" /></a><div><div style="text-align: center;"><b>El icosidodecaedro pertenece a la familia de los poliedros llamados sólidos arquimedianos. Presenta 32 caras, de las cuales 12 son pentágonos regulares y 20 son triángulos equiláteros. En esta oportunidad nos dimos a la tarea de construir este magnífico poliedro en grupos de 4 estudiantes, cada uno con 30 módulos, para un total de 120 módulos, la mitad de ellos simétricos. 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color: rgb(255, 0, 0);">Construcción de Dodecaedros</span></span><br /></div><a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi1SsqtQBFVncFGGfbQ-z0lMHWEfeKECzaiRJFaV89InsAxbDInlEneYR-lZT0tgHrUkBrfPjcwYIPYy0rOgQ4yXs-jVUJm7jCRE4vU_I7hey4LFSKEbDcIurHOkhfbhYT5LxqjMrg3Bl8/s1600/IMG_2787.JPG"><br /></a><div style="text-align: center;"><iframe src="http://www.youtube.com/embed/uO6DbeHHHHA" allowfullscreen="" frameborder="0" height="315" width="420"></iframe><br /></div><br /><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiO5qAuPqftfAEas2xzMNqwN4yi65NMr1BU4_gom3b6C3d8wHpGaXmvOBa9XpDnsvD73WHHj62BH_r7Uanm2jOG2oAaR5vb1sy4nYS1Rad_MEZtUjgk_WlONSH441zq8pTls7CMQBbsuAQ/s1600/IMG_2723.JPG"><img style="display:block; margin:0px auto 10px; text-align:center;cursor:pointer; cursor:hand;width: 400px; height: 300px;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiO5qAuPqftfAEas2xzMNqwN4yi65NMr1BU4_gom3b6C3d8wHpGaXmvOBa9XpDnsvD73WHHj62BH_r7Uanm2jOG2oAaR5vb1sy4nYS1Rad_MEZtUjgk_WlONSH441zq8pTls7CMQBbsuAQ/s400/IMG_2723.JPG" alt="" id="BLOGGER_PHOTO_ID_5653795710317027922" border="0" /></a><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjmpuUTq-CJ589Sur4pAJ5zxbukjodl7zVYqk2G-Ex8idDsnTmubQbfSRu5rvU9MpbVLsy3T365sC54L0lgPL6X5XfKjhjrXwoTKW5KOB18bAqqdd8uGOQhtcA4yRHg0aDQY27CoB9rxgc/s1600/IMG_2728.JPG"><img style="display:block; 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margin:0px auto 10px; text-align:center;cursor:pointer; cursor:hand;width: 400px; height: 300px;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi1SsqtQBFVncFGGfbQ-z0lMHWEfeKECzaiRJFaV89InsAxbDInlEneYR-lZT0tgHrUkBrfPjcwYIPYy0rOgQ4yXs-jVUJm7jCRE4vU_I7hey4LFSKEbDcIurHOkhfbhYT5LxqjMrg3Bl8/s400/IMG_2787.JPG" alt="" id="BLOGGER_PHOTO_ID_5653800694852711970" border="0" /></a><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi8L9AI96QPs4arUGfP8v_TwwMCb7BVNs7YUTmIO0oXpjiwhLDKz-U1hMVzxN1Bd82VbQAwflXm8RnbPSFN_AwhRKpnPWJKnhs8yPztq-WMYfbuVHa7TiUtCHcQrMpEebt-I_Ib8GGYwjw/s1600/IMG_2783.JPG"><img style="display: block; margin: 0px auto 10px; text-align: center; cursor: pointer; width: 493px; height: 369px;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi8L9AI96QPs4arUGfP8v_TwwMCb7BVNs7YUTmIO0oXpjiwhLDKz-U1hMVzxN1Bd82VbQAwflXm8RnbPSFN_AwhRKpnPWJKnhs8yPztq-WMYfbuVHa7TiUtCHcQrMpEebt-I_Ib8GGYwjw/s400/IMG_2783.JPG" alt="" id="BLOGGER_PHOTO_ID_5653800667811554818" border="0" /></a><span style="font-weight: bold;"><br /></span><div style="text-align: center;"><span style="font-weight: bold;">En el siguiente video pueden observar cada uno de los pasos para armar cada uno de los 30 módulos que se requieren:</span><br /></div><div style="text-align: center;"><span style="font-weight: bold;"></span></div><div style="text-align: center;"><span style="font-weight: bold;"></span><br /><span style="font-weight: bold;"></span></div><div style="text-align: center;"><span style="font-weight: bold;"><iframe src="http://www.youtube.com/embed/6PPw99sU_q0" allowfullscreen="" frameborder="0" height="315" width="420"></iframe></span><br /><span style="font-weight: bold;"></span></div><span style="font-weight: bold;"></span><span style="font-weight: bold;"><br /></span><div style="text-align: center;"><span style="font-weight: bold;">En este video se observa en ensamble de los módulos:</span><br /></div><div style="text-align: center;"><span style="font-weight: bold;"></span></div><span style="font-weight: bold;"><br /></span><div style="text-align: center;"><span style="font-weight: bold;"><iframe src="http://www.youtube.com/embed/SL6Lq_XG-ps" allowfullscreen="" frameborder="0" height="315" width="420"></iframe></span><br /><span style="font-weight: bold;"></span></div><span style="font-weight: bold;"><br /> </span>Unknownnoreply@blogger.com0tag:blogger.com,1999:blog-5074331865759395941.post-56513291241093652572011-06-18T11:34:00.009-05:002011-09-18T17:43:09.570-05:00Lámpara en Papiroflexia modular<a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiXG4dhXAHAjjNw5oV_6hBI3YpLdqP68qrAvuuyPUWRvd4aJNup15gGRJ7fJ2dmg9G2shzj46sLtbot1iG9RNPqrMaQl-e_oaAEnoEvrsvi0z8H_dFfCpmgis3saj899PJgbgrv7tb9W1U/s1600/IMG_2919.JPG"><img style="display:block; 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E Santa Rosa<div style="text-align: justify;"><div style="text-align: justify; font-weight: bold;">Buenas noches amigos origameros, el día de hoy les presento los trabajos tan hermosos y creativos que están desarrollando los estudiantes (Nocturna) de la I. E Santa Rosa, en el Distrito de AguaBlanca, Santiago de Cali. El amor y la dedicación en las actividades desarrolladas, las cualidades humanas que los caracterizan y sus ganas de salir adelante demuestran que siempre es un buen momento para volver a empezar y forjarnos un mejor futuro.<br /><br />Déjales un comentario, con gusto te lo agradecerán.<br /></div><br /></div><a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjOjAwsF7zKB1b0Cvh1snbGjnUnX9PlpHS6JYPqhU5HWH-jGivzeGiNn4aj4hNM-yAOLwAbu8M2IILSt3gOvikc0q6pWcaqP_sp39SBKvUAvuXJxnvjWgC3NtDHTr4soopNwU_UfztTbjA/s1600/IMG_2682.JPG"><img style="display: block; margin: 0px auto 10px; text-align: center; cursor: pointer; width: 461px; height: 343px;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjOjAwsF7zKB1b0Cvh1snbGjnUnX9PlpHS6JYPqhU5HWH-jGivzeGiNn4aj4hNM-yAOLwAbu8M2IILSt3gOvikc0q6pWcaqP_sp39SBKvUAvuXJxnvjWgC3NtDHTr4soopNwU_UfztTbjA/s320/IMG_2682.JPG" alt="" id="BLOGGER_PHOTO_ID_5591213235921571826" border="0" /></a><a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiSDR2uQOCX17jiEOYnk7jHe0cqD0Mcc098II9N0Js6_o55ySZdYy7vyw7asL8zXMQjpxphGITQFD_sMKs8V-AFwpXOiAFU4B7VerfQGTtscLovqqrqYB6GmKa229SR5BwRnRJauUQFHC8/s1600/IMG_2685.jpg"><img style="display: block; 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No olvideis ver el video.<br /><br /><div style="text-align: center;"><iframe title="YouTube video player" src="http://www.youtube.com/embed/BYzjkPIoZ5k" allowfullscreen="" frameborder="0" height="490" width="580"></iframe><br /></div><br /><a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgTwAPmPvQpS6FYWHWS6ohYPkIAeAP2kqm41mFyQMJlQJInePpux9hLWsMeJ7IewVj3bKdhC1gLQld1icj58KuhcsBoZHOcyrLo_nsK8GBNMWCf4E0i5bGdN1KMrCsBjWi2MgehLwPov3w/s1600/16.JPG"><img style="display: block; margin: 0px auto 10px; text-align: center; cursor: pointer; width: 283px; height: 466px;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgTwAPmPvQpS6FYWHWS6ohYPkIAeAP2kqm41mFyQMJlQJInePpux9hLWsMeJ7IewVj3bKdhC1gLQld1icj58KuhcsBoZHOcyrLo_nsK8GBNMWCf4E0i5bGdN1KMrCsBjWi2MgehLwPov3w/s320/16.JPG" alt="" id="BLOGGER_PHOTO_ID_5593748531192769762" border="0" /></a><a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEik8Cpr3O3SBwlzi7IKSKrlJCLakKLJg_5k14Cl8YMV-ti0QFVzL1Q-y-UR5RIaOODArB_4ziGq7uQptRErXyfKfmgNfIJcqklfNtVwdEEzGfxbVvlP8VqAEcjk_S9SVTEVSNrMVGZuLKk/s1600/15.JPG"><img style="display: block; 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margin: 0px auto 10px; text-align: center; cursor: pointer; width: 300px; height: 526px;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj-QAw9yT3TRCzMndgPvapHa_qy7X0aDPKRGdDE1taD4MhyY_l8e2Q9G3n4vhWc1BChH4i207wgudwWswpjZapREWRXpJdnVO4mtDLZKiABMl0qyTle6cxjgSYGtv8UjSv-0q-FWbOtFbE/s320/11.JPG" alt="" id="BLOGGER_PHOTO_ID_5593748200007214114" border="0" /></a>Unknownnoreply@blogger.com1tag:blogger.com,1999:blog-5074331865759395941.post-13902178506555699802011-03-14T22:46:00.008-05:002011-04-03T18:10:49.104-05:00Hermoso Cisne en Papiroflexia Modular<div style="text-align: center;"><iframe title="YouTube video player" src="http://www.youtube.com/embed/zpQu_9yIhXg" frameborder="0" height="490" width="580"></iframe></div>Unknownnoreply@blogger.com4tag:blogger.com,1999:blog-5074331865759395941.post-25415184886601317902011-03-13T23:42:00.004-05:002011-04-09T20:16:46.171-05:00Lámpara en Papiroflexia Modular<span style="color: rgb(255, 0, 0);font-size:130%;" ><span style="font-weight: bold;">Amazing Grace</span></span><br /><br /><div style="text-align: center;"><iframe title="YouTube video player" src="http://www.youtube.com/embed/FjkAx42tnBE" allowfullscreen="" frameborder="0" height="490" width="580"></iframe></div><br /><br /><a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgZrV0ZeYM5l0dBKsz996fd6CHlAcyYpI2M0RIPh2rccHj9iAYlK23uGQIM3ESOowtgtwGj3uwohCJjBaLEIjhd2Zp9Nz6LMeDz06yB8J1tCOX_zJMHhtQl1Qho7sWapXyUBt8TwvU4cXs/s1600/5.JPG"><img style="display: block; margin: 0px auto 10px; text-align: center; cursor: pointer; width: 273px; height: 417px;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgZrV0ZeYM5l0dBKsz996fd6CHlAcyYpI2M0RIPh2rccHj9iAYlK23uGQIM3ESOowtgtwGj3uwohCJjBaLEIjhd2Zp9Nz6LMeDz06yB8J1tCOX_zJMHhtQl1Qho7sWapXyUBt8TwvU4cXs/s320/5.JPG" alt="" id="BLOGGER_PHOTO_ID_5593756219422549746" border="0" /></a><a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjIAMxjEEEBxb8pA50q7LlDy_HBy3ghsUruQk5woH8hOA3o6oJDtOgDfUrIaPFl-QuvlAwOOoY1iFBVO6q2AalCaOMGCdijQZxi7WPiuy9CnSbLe5ok0sElQ7ptk2lzHtAy5utROfGAgYY/s1600/4.JPG"><img style="display: block; margin: 0px auto 10px; text-align: center; cursor: pointer; width: 275px; height: 488px;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjIAMxjEEEBxb8pA50q7LlDy_HBy3ghsUruQk5woH8hOA3o6oJDtOgDfUrIaPFl-QuvlAwOOoY1iFBVO6q2AalCaOMGCdijQZxi7WPiuy9CnSbLe5ok0sElQ7ptk2lzHtAy5utROfGAgYY/s320/4.JPG" alt="" id="BLOGGER_PHOTO_ID_5593756217705458434" border="0" /></a><a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjN-05VOeK6VkLyqLSXZpnyRMVNAahre1pwAUgR6T6rqv8Wdgvv6nqjFC2yRbzqHmOd8dPoHwd_QBW8y1gN2VgHpBhGwUY4KMqRKZ6IOb-IHpvMIf2aRKPeSdMVpvOZMTWtSvSf4Zq85_o/s1600/3.JPG"><img style="display: block; margin: 0px auto 10px; text-align: center; cursor: pointer; width: 275px; height: 379px;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjN-05VOeK6VkLyqLSXZpnyRMVNAahre1pwAUgR6T6rqv8Wdgvv6nqjFC2yRbzqHmOd8dPoHwd_QBW8y1gN2VgHpBhGwUY4KMqRKZ6IOb-IHpvMIf2aRKPeSdMVpvOZMTWtSvSf4Zq85_o/s320/3.JPG" alt="" id="BLOGGER_PHOTO_ID_5593756216123309842" border="0" /></a><a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgvsOC-fSxgefKnv_B70KPcnqd0CvpPNYHg2BuE487QszxHM23WCkEHPsCd6-pSEtSglE0IsCsF6ayr8b_HJxgKs78A_hpZBq8iJuVYY2PCImLLG6bAYN0siHTJEA6pEymimEhzqICjdoA/s1600/2.JPG"><img style="display: block; margin: 0px auto 10px; text-align: center; cursor: pointer; width: 282px; height: 491px;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgvsOC-fSxgefKnv_B70KPcnqd0CvpPNYHg2BuE487QszxHM23WCkEHPsCd6-pSEtSglE0IsCsF6ayr8b_HJxgKs78A_hpZBq8iJuVYY2PCImLLG6bAYN0siHTJEA6pEymimEhzqICjdoA/s320/2.JPG" alt="" id="BLOGGER_PHOTO_ID_5593756210908202194" border="0" /></a><a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjrkQxUfd2joVopLPOQ6De7Dj7hb1d2nnIQ_Rn9tlaPUQgrLL6bBIQcfX80OfAD9oftsWxrSJF7nVmhJQ2J_vs_epJvwmJWZ1tWQzm-xpI0Abkp8iPM2YyhoTOiWzj4U0SeA2-48_zJQzU/s1600/1.JPG"><img style="display: block; margin: 0px auto 10px; text-align: center; cursor: pointer; width: 279px; height: 416px;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjrkQxUfd2joVopLPOQ6De7Dj7hb1d2nnIQ_Rn9tlaPUQgrLL6bBIQcfX80OfAD9oftsWxrSJF7nVmhJQ2J_vs_epJvwmJWZ1tWQzm-xpI0Abkp8iPM2YyhoTOiWzj4U0SeA2-48_zJQzU/s320/1.JPG" alt="" id="BLOGGER_PHOTO_ID_5593756210181437218" border="0" /></a>Unknownnoreply@blogger.com1tag:blogger.com,1999:blog-5074331865759395941.post-50284360919042580082011-03-13T22:43:00.004-05:002011-04-03T18:11:36.278-05:00Cisne mediano Rosado<div style="text-align: center;"><iframe title="YouTube video player" src="http://www.youtube.com/embed/2ymYWrh59vU" allowfullscreen="" frameborder="0" height="490" width="580"></iframe></div>Unknownnoreply@blogger.com1tag:blogger.com,1999:blog-5074331865759395941.post-6809183608153149152011-03-13T21:39:00.006-05:002011-04-03T18:12:00.881-05:00MiniCisne en Papiroflexia modular 404 Módulos<div style="text-align: center;"><iframe title="YouTube video player" src="http://www.youtube.com/embed/J1s2f4syFnE" allowfullscreen="" frameborder="0" height="490" width="580"></iframe></div>Unknownnoreply@blogger.com0tag:blogger.com,1999:blog-5074331865759395941.post-73650369891354282802011-03-13T00:17:00.009-05:002011-04-09T20:28:55.702-05:00Jarron en miniatura: 550 Módulos<span style="font-size:130%;"><span style="font-weight: bold; color: rgb(255, 0, 0);">Buenas noches amigos, ¿Qué tal les parece este?</span></span><br /><br /><div style="text-align: center;"><iframe title="YouTube video player" src="http://www.youtube.com/embed/1jL9U5hjAa0" allowfullscreen="" frameborder="0" height="490" width="580"></iframe></div><br /><a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjpz-H7jzE73ZiIUzjjzIGFaRmPurRi7-3yEV86TvGOLM3MJ7N3MV3ZxSHgCofcQQd1xgeLGN4RKxGZogitvTIXjCzZa7sed_UHvxEh-H-DJjaaPPBVUTjp_vAHgQr8o7Jh-CPErQYghZg/s1600/10.JPG"><img style="display: block; margin: 0px auto 10px; text-align: center; cursor: pointer; width: 319px; height: 320px;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjpz-H7jzE73ZiIUzjjzIGFaRmPurRi7-3yEV86TvGOLM3MJ7N3MV3ZxSHgCofcQQd1xgeLGN4RKxGZogitvTIXjCzZa7sed_UHvxEh-H-DJjaaPPBVUTjp_vAHgQr8o7Jh-CPErQYghZg/s320/10.JPG" alt="" id="BLOGGER_PHOTO_ID_5593760218823923474" border="0" /></a><a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi0jAkA3hykGUR8suxsn5qpT7MBFdah2fPOvgXj3O1J9vL3NtDmNGGJ88dFegA4m3vbaZ3fn5iULVWMGPHSA9Kb5b_DuoPDEnQTjymQeh7PZXnzSkHRL5OIFyxnA0l7_FJvEDV50OqhxFA/s1600/9.JPG"><img style="display: block; margin: 0px auto 10px; text-align: center; cursor: pointer; width: 275px; height: 320px;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi0jAkA3hykGUR8suxsn5qpT7MBFdah2fPOvgXj3O1J9vL3NtDmNGGJ88dFegA4m3vbaZ3fn5iULVWMGPHSA9Kb5b_DuoPDEnQTjymQeh7PZXnzSkHRL5OIFyxnA0l7_FJvEDV50OqhxFA/s320/9.JPG" alt="" id="BLOGGER_PHOTO_ID_5593760215577750274" border="0" /></a><a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhAQpfDrjSwbQSrX6SjsiaB-ViVjBLsJqGtDzei-a4Eb2scpQ_c5cG_MYa8aOjUqCqIprQv6YLzOpCzREPC5W0qSN5sFz8jWkRuz-wIUQCUY594o0Gt4Fu4Tvy5ZZIErb_KEIZ3j-LOLxI/s1600/8.JPG"><img style="display: block; margin: 0px auto 10px; text-align: center; cursor: pointer; width: 320px; height: 210px;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhAQpfDrjSwbQSrX6SjsiaB-ViVjBLsJqGtDzei-a4Eb2scpQ_c5cG_MYa8aOjUqCqIprQv6YLzOpCzREPC5W0qSN5sFz8jWkRuz-wIUQCUY594o0Gt4Fu4Tvy5ZZIErb_KEIZ3j-LOLxI/s320/8.JPG" alt="" id="BLOGGER_PHOTO_ID_5593760210561445698" border="0" /></a><a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgBbXw45SBl0mW5vBKG4vjIysE-FgEyODVT7-y-ZiyjDfyWXt-9m5a5kycB5gdjO6qMQBtqbdDDjJ7DY7siL0TkBMqcSF_mFHCV7lhnzua5-NkFWKlvBmP9mY-wfQcQZGH-Dq_xh8omBUc/s1600/7.JPG"><img style="display: block; margin: 0px auto 10px; text-align: center; cursor: pointer; width: 297px; height: 320px;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgBbXw45SBl0mW5vBKG4vjIysE-FgEyODVT7-y-ZiyjDfyWXt-9m5a5kycB5gdjO6qMQBtqbdDDjJ7DY7siL0TkBMqcSF_mFHCV7lhnzua5-NkFWKlvBmP9mY-wfQcQZGH-Dq_xh8omBUc/s320/7.JPG" alt="" id="BLOGGER_PHOTO_ID_5593760206197111794" border="0" /></a>Unknownnoreply@blogger.com0tag:blogger.com,1999:blog-5074331865759395941.post-77780573806987623222011-01-15T21:36:00.016-05:002011-01-15T23:13:21.158-05:00ANILLO - BOLA MÁGICA - SERPIENTE<div style="text-align: justify;">Buenas noches compañer@s. A la espera de una nueva aventura de exploración en este nuevo año lectivo 2011 con mis estudiantes de la I. E Santa Rosa y con ustedes amigos seguidores de este block. Aquí les presento algunas de las construcciones elaboradas por mí en vacaciones, definitivamente esto es un arte apasionante:<br /></div><div style="text-align: justify;"><br /><span style="color: rgb(255, 0, 0); font-weight: bold;">1. Anillo gigante:</span><br /><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh9OGxbsQ0o_MAogABlDllGXTNB2aL6pqrLjdt5aI1-OvedyRZFFzHFiVIKRzOSTWitpTTjH_nnrkQAZfkO1zA8ZVudpbmPOXJvWm5vr5Zh6jbrwn2D-vPq4QG4LMfvI-oxmYiTkHOAGdY/s1600/IMG_2565.JPG"><br /></a><br /><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh9OGxbsQ0o_MAogABlDllGXTNB2aL6pqrLjdt5aI1-OvedyRZFFzHFiVIKRzOSTWitpTTjH_nnrkQAZfkO1zA8ZVudpbmPOXJvWm5vr5Zh6jbrwn2D-vPq4QG4LMfvI-oxmYiTkHOAGdY/s1600/IMG_2565.JPG"><img style="display: block; margin: 0px auto 10px; text-align: center; cursor: pointer; width: 320px; height: 240px;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh9OGxbsQ0o_MAogABlDllGXTNB2aL6pqrLjdt5aI1-OvedyRZFFzHFiVIKRzOSTWitpTTjH_nnrkQAZfkO1zA8ZVudpbmPOXJvWm5vr5Zh6jbrwn2D-vPq4QG4LMfvI-oxmYiTkHOAGdY/s320/IMG_2565.JPG" alt="" id="BLOGGER_PHOTO_ID_5562623731994492530" border="0" /></a><br /><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhWLRzZA4456Sw7xIWNSSDOXZMo4LZCrwV1Ji3N072bJhMn4RIpMYF8RMLUpdV1LvoBGJgs8lgJUqwNPmmooIVBa-jYqZPQQdJyy2VfdAa5sAbVtWfrJAZ8FmQwTWHKPVVbpJfHVngo2ic/s1600/IMG_2564.JPG"><img style="display: block; margin: 0px auto 10px; text-align: center; cursor: pointer; width: 320px; height: 240px;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhWLRzZA4456Sw7xIWNSSDOXZMo4LZCrwV1Ji3N072bJhMn4RIpMYF8RMLUpdV1LvoBGJgs8lgJUqwNPmmooIVBa-jYqZPQQdJyy2VfdAa5sAbVtWfrJAZ8FmQwTWHKPVVbpJfHVngo2ic/s320/IMG_2564.JPG" alt="" id="BLOGGER_PHOTO_ID_5562623722024421378" border="0" /></a><br /><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEisTGwhkwnc-hfmwjvheEm4RAK1380k2zI23mYsuldeR7gRNY0qyuMBpR8vi-MrxGMJcC7uzY-3X9_sl9jSVEbSgSVOtzR1ixDD8Ue2vb4j4NSP6LSvkERyK3hD8CqIcZloRrwc-BGzW9w/s1600/IMG_2563.JPG"><img style="display: block; margin: 0px auto 10px; text-align: center; cursor: pointer; width: 320px; height: 240px;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEisTGwhkwnc-hfmwjvheEm4RAK1380k2zI23mYsuldeR7gRNY0qyuMBpR8vi-MrxGMJcC7uzY-3X9_sl9jSVEbSgSVOtzR1ixDD8Ue2vb4j4NSP6LSvkERyK3hD8CqIcZloRrwc-BGzW9w/s320/IMG_2563.JPG" alt="" id="BLOGGER_PHOTO_ID_5562622658195436338" border="0" /></a><br /><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhV25tGzPyNe433h0pmXD1nr4-iV5XuZFiXFF8Rpuo9x234PUsIjYnKXNjyxGBKT_c6U_pkJx7PcuFjbaYKyBKXdFV1kK3eVukskd5JJz6hG8lQnw6rDJ_l0G13XZPJnOWpvz-XJC1j9h8/s1600/IMG_2562.JPG"><img style="display: block; margin: 0px auto 10px; text-align: center; cursor: pointer; width: 240px; height: 320px;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhV25tGzPyNe433h0pmXD1nr4-iV5XuZFiXFF8Rpuo9x234PUsIjYnKXNjyxGBKT_c6U_pkJx7PcuFjbaYKyBKXdFV1kK3eVukskd5JJz6hG8lQnw6rDJ_l0G13XZPJnOWpvz-XJC1j9h8/s320/IMG_2562.JPG" alt="" id="BLOGGER_PHOTO_ID_5562622652150223298" border="0" /></a><br /><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiYaxLdfJUBsBMg8kzn8u6CXQ7HduH6GWg_GuIh_0CL9an65s1cnFNKO7XGucfZjvrojC7ekVO7_1Zjbk8wkBNbV7c3EjKF7mws11Daq_oM69pm4EnslmlT622mXvAm490s6gy-FBqfixE/s1600/IMG_2561.JPG"><img style="display: block; margin: 0px auto 10px; text-align: center; cursor: pointer; width: 240px; height: 320px;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiYaxLdfJUBsBMg8kzn8u6CXQ7HduH6GWg_GuIh_0CL9an65s1cnFNKO7XGucfZjvrojC7ekVO7_1Zjbk8wkBNbV7c3EjKF7mws11Daq_oM69pm4EnslmlT622mXvAm490s6gy-FBqfixE/s320/IMG_2561.JPG" alt="" id="BLOGGER_PHOTO_ID_5562622647112435026" border="0" /></a><br /><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjdhnrrCNZUgL4MgcFvbBHVIv6NADhoYwHPOM10-1FJM9lP2sU1W7HbnE2RPt6AVwB6JLde0ziHdw2ZEnJ5etuPC24tEuhVBE3LWUWS1toGZ1V8NnJhrVKBffetsNFEa7K0_Aeir6VsZz4/s1600/IMG_2560.JPG"><img style="display: block; margin: 0px auto 10px; text-align: center; cursor: pointer; width: 240px; height: 320px;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjdhnrrCNZUgL4MgcFvbBHVIv6NADhoYwHPOM10-1FJM9lP2sU1W7HbnE2RPt6AVwB6JLde0ziHdw2ZEnJ5etuPC24tEuhVBE3LWUWS1toGZ1V8NnJhrVKBffetsNFEa7K0_Aeir6VsZz4/s320/IMG_2560.JPG" alt="" id="BLOGGER_PHOTO_ID_5562622642813672498" border="0" /></a><br /><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhJaa9kLvIpu2_Ejpkjowf7GhQHyhmunedfvUO1mq5ZBsA4iEXnrLFiUU3XRZuorlnRWl3-12xUDnBVWN01zYq8fOEYdSlae63LT3C9ijtmgkbaJys-2ogpVGeTPX07S8muzEX9vmGDDwc/s1600/IMG_2559.JPG"><img style="display: block; margin: 0px auto 10px; text-align: center; cursor: pointer; width: 320px; height: 240px;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhJaa9kLvIpu2_Ejpkjowf7GhQHyhmunedfvUO1mq5ZBsA4iEXnrLFiUU3XRZuorlnRWl3-12xUDnBVWN01zYq8fOEYdSlae63LT3C9ijtmgkbaJys-2ogpVGeTPX07S8muzEX9vmGDDwc/s320/IMG_2559.JPG" alt="" id="BLOGGER_PHOTO_ID_5562622632931989426" border="0" /></a><br /><span style="color: rgb(255, 0, 0); font-weight: bold;">2. Bola Mágica:</span><br /><br /><br /><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhkozrmg3WYXB2AWbKEK6YqKIdgNE9mEXW3hAE-3flpZPTS4IRO9ppTseQcKhqHf3BUbbl0jXB9gVShAqMYXBRIKdXum8DryJfCGgN5GfvW5mOmn08oHhskMXO6wakVbMisw89wGoN7DOM/s1600/IMG_2546.JPG"><img style="display: block; margin: 0px auto 10px; text-align: center; cursor: pointer; width: 240px; height: 320px;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhkozrmg3WYXB2AWbKEK6YqKIdgNE9mEXW3hAE-3flpZPTS4IRO9ppTseQcKhqHf3BUbbl0jXB9gVShAqMYXBRIKdXum8DryJfCGgN5GfvW5mOmn08oHhskMXO6wakVbMisw89wGoN7DOM/s320/IMG_2546.JPG" alt="" id="BLOGGER_PHOTO_ID_5562612870776340178" border="0" /></a><br /><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgyRVBZdqJ1NNqR0ZUXAZ1dOanP5wZSCyc5Xw6AK1SIPc83wu7FBtNz5DiH8mY0QKLPBODxWQbXBmneksjoB3QEQ2-xzoTFnzMK_en7n3A2zuVLbLxywJ_VCjMBfP8mI7ja6xjATNmOOj8/s1600/IMG_2544.JPG"><img style="display: block; margin: 0px auto 10px; text-align: center; cursor: pointer; 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margin: 0px auto 10px; text-align: center; cursor: pointer; width: 320px; height: 240px;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhvRYqR6OALsXa0CFrHoqhvueo5ZchDOiyWo6QTC3odloCRu6dngioWJB4sBCav7NyuEtvnzbF4SbMRo1C7zCdC5uf46aLTMIQvuuKeQj46h9lU0WO8eoPoT-rGCwiqxBCf23Ez8Aujpjo/s320/IMG_2531.JPG" alt="" id="BLOGGER_PHOTO_ID_5562610025539216018" border="0" /></a><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEidZqPPevZzvxcGqssXCIkUjL2ubYqnmuBKptb-hUASo0kOjESnhQnDFGmU2II-d9Lo0-2mjh4-mvcV3_mkZDccHiQdgyuBReKZAhNU9pwG0tKqf8ML2OnKHp8pmkalRD-nrQMuL5MlQGQ/s1600/IMG_2552.JPG"><img style="display: block; margin: 0px auto 10px; text-align: center; cursor: pointer; width: 320px; height: 240px;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEidZqPPevZzvxcGqssXCIkUjL2ubYqnmuBKptb-hUASo0kOjESnhQnDFGmU2II-d9Lo0-2mjh4-mvcV3_mkZDccHiQdgyuBReKZAhNU9pwG0tKqf8ML2OnKHp8pmkalRD-nrQMuL5MlQGQ/s320/IMG_2552.JPG" alt="" id="BLOGGER_PHOTO_ID_5562621797643684898" border="0" /></a><span style="color: rgb(255, 0, 0); font-weight: bold;">3. Serpiente:</span><br /><br /><br /><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg0zWjWGQuAyoC83Cx_JjpHtym2KxXPsHVotTeJyzcLp7wYPjoxhETIq4eWefulue-_P2G5bT2tz4SzGHClalANoZ0xiP991uB_UjtzUvQ3AKdOk3kxl0F4JF0Ys8UvKe-RKGUOatCHfeA/s1600/IMG_2567.JPG"><img style="display: block; margin: 0px auto 10px; text-align: center; cursor: pointer; width: 320px; height: 240px;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg0zWjWGQuAyoC83Cx_JjpHtym2KxXPsHVotTeJyzcLp7wYPjoxhETIq4eWefulue-_P2G5bT2tz4SzGHClalANoZ0xiP991uB_UjtzUvQ3AKdOk3kxl0F4JF0Ys8UvKe-RKGUOatCHfeA/s320/IMG_2567.JPG" alt="" id="BLOGGER_PHOTO_ID_5562623738618133570" border="0" /></a><br /><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjUqP6PShtE_-ip77_VuxtAerQghyYQ3_o95EjYGDYa5AweQxIbVAFEcqYk8_z0Vtnxp6sDxZfKCFO9m2JLF_2DM4xHANcw9o5B2ooU8W9p-VANiBjDv-f0vaeLQYjntgdBS0E5GYzlJ6o/s1600/IMG_2570.JPG"><img style="display: block; margin: 0px auto 10px; text-align: center; cursor: pointer; width: 320px; height: 240px;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjUqP6PShtE_-ip77_VuxtAerQghyYQ3_o95EjYGDYa5AweQxIbVAFEcqYk8_z0Vtnxp6sDxZfKCFO9m2JLF_2DM4xHANcw9o5B2ooU8W9p-VANiBjDv-f0vaeLQYjntgdBS0E5GYzlJ6o/s320/IMG_2570.JPG" alt="" id="BLOGGER_PHOTO_ID_5562624139146441522" border="0" /></a><br /><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjUqP6PShtE_-ip77_VuxtAerQghyYQ3_o95EjYGDYa5AweQxIbVAFEcqYk8_z0Vtnxp6sDxZfKCFO9m2JLF_2DM4xHANcw9o5B2ooU8W9p-VANiBjDv-f0vaeLQYjntgdBS0E5GYzlJ6o/s1600/IMG_2570.JPG"><img style="display: block; margin: 0px auto 10px; text-align: center; cursor: pointer; width: 320px; height: 240px;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjUqP6PShtE_-ip77_VuxtAerQghyYQ3_o95EjYGDYa5AweQxIbVAFEcqYk8_z0Vtnxp6sDxZfKCFO9m2JLF_2DM4xHANcw9o5B2ooU8W9p-VANiBjDv-f0vaeLQYjntgdBS0E5GYzlJ6o/s320/IMG_2570.JPG" alt="" id="BLOGGER_PHOTO_ID_5562624139146441522" border="0" /></a><br /><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhvqi1_4WPNn81_Y6-1XJwBuhnkSM2eDSfdqVASOWDeNI7M9pvVBhIKei7o7fyaItjJgbocP1_T2wuaGeNwKuhp6ac67Q5g1tmzM9G3sZgvYDeBGenu2Rgg09TsvtQ_agU67VYdTkssEBs/s1600/IMG_2569.JPG"><img style="display: block; margin: 0px auto 10px; text-align: center; cursor: pointer; width: 320px; height: 240px;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhvqi1_4WPNn81_Y6-1XJwBuhnkSM2eDSfdqVASOWDeNI7M9pvVBhIKei7o7fyaItjJgbocP1_T2wuaGeNwKuhp6ac67Q5g1tmzM9G3sZgvYDeBGenu2Rgg09TsvtQ_agU67VYdTkssEBs/s320/IMG_2569.JPG" alt="" id="BLOGGER_PHOTO_ID_5562624132110117922" border="0" /></a><br /><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiUNXm8PcYAN3bKEwQ1LIhOl2ItUGacgGrToBpflkGOecp5ZpnMHrLRxWvdCdP6wFRQ9AzyAvxaXXjlgVqDTodp9AFeXlO72oR06e9eIWHygi7rJOHvFVMpMh59qrlAkuuYQQ4YkOmwLiY/s1600/IMG_2568.JPG"><img style="display: block; margin: 0px auto 10px; text-align: center; cursor: pointer; width: 320px; height: 240px;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiUNXm8PcYAN3bKEwQ1LIhOl2ItUGacgGrToBpflkGOecp5ZpnMHrLRxWvdCdP6wFRQ9AzyAvxaXXjlgVqDTodp9AFeXlO72oR06e9eIWHygi7rJOHvFVMpMh59qrlAkuuYQQ4YkOmwLiY/s320/IMG_2568.JPG" alt="" id="BLOGGER_PHOTO_ID_5562623744668406018" border="0" /></a><br /><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgUiK7lZ2SiRoBLFpDRim6xODEJAh8ifMpRpLcQg7yZyzBmExReBf-V3a-zb4yCx3R45CUIT0voQ5b7f6nQyajDwotAdnu3GlgSZpTjSR_wRC7iJ4XBDLrajqj_DH4gRLRQn94vs_tvmbA/s1600/IMG_2566.JPG"><img style="display: block; margin: 0px auto 10px; text-align: center; cursor: pointer; width: 320px; height: 240px;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgUiK7lZ2SiRoBLFpDRim6xODEJAh8ifMpRpLcQg7yZyzBmExReBf-V3a-zb4yCx3R45CUIT0voQ5b7f6nQyajDwotAdnu3GlgSZpTjSR_wRC7iJ4XBDLrajqj_DH4gRLRQn94vs_tvmbA/s320/IMG_2566.JPG" alt="" id="BLOGGER_PHOTO_ID_5562623732994227266" border="0" /></a><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh9OGxbsQ0o_MAogABlDllGXTNB2aL6pqrLjdt5aI1-OvedyRZFFzHFiVIKRzOSTWitpTTjH_nnrkQAZfkO1zA8ZVudpbmPOXJvWm5vr5Zh6jbrwn2D-vPq4QG4LMfvI-oxmYiTkHOAGdY/s1600/IMG_2565.JPG"><br /></a><br /><span style="color: rgb(255, 0, 0); font-weight: bold;">4. PULSERA GIGANTE:<br /><br /></span><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjKzMdy60UGCaWPqmuK_Gqm1psLsda1YPke-89q8741em85kUDvVqMBVbQchZVHrgD9rtDJ-ICp0D7zW9m3EgMH6vTu_BGrknKxNeZtL__C37kcQdx1TQUDdbRQ9RY__vw54ggWEPDxMMg/s1600/IMG_2558.JPG"><img style="display: block; margin: 0px auto 10px; text-align: center; cursor: pointer; width: 320px; height: 240px;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjKzMdy60UGCaWPqmuK_Gqm1psLsda1YPke-89q8741em85kUDvVqMBVbQchZVHrgD9rtDJ-ICp0D7zW9m3EgMH6vTu_BGrknKxNeZtL__C37kcQdx1TQUDdbRQ9RY__vw54ggWEPDxMMg/s320/IMG_2558.JPG" alt="" id="BLOGGER_PHOTO_ID_5562621819108991474" border="0" /></a><br /><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhu8rO32Q8PCcZJjIztdp9nItomELft-roUZbDfYE7Bv3cD0f2bl-Zc4RNJMxry0ts7SQBx3BYhzz8xMxxEIPELhX6mEp5z0DbHVEi9v6mT5SGaSIrdsFrSxEpzpfpWFNeXJ5T-_yFNxr0/s1600/IMG_2557.JPG"><img style="display: block; margin: 0px auto 10px; text-align: center; cursor: pointer; width: 320px; height: 240px;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhu8rO32Q8PCcZJjIztdp9nItomELft-roUZbDfYE7Bv3cD0f2bl-Zc4RNJMxry0ts7SQBx3BYhzz8xMxxEIPELhX6mEp5z0DbHVEi9v6mT5SGaSIrdsFrSxEpzpfpWFNeXJ5T-_yFNxr0/s320/IMG_2557.JPG" alt="" id="BLOGGER_PHOTO_ID_5562621816150479346" border="0" /></a><br /><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiv7fsUOERegApFDLWHflhwuAqSu4jZ2xuOzxsQ12eh0D1F9iQyVH3B1vsOAJGjZFvkD97F-mxsdHrmno2nW5A4hmKIGFJSzGkcQnVNOo4uo0uVcL9OBx-Fd2UYVfG-YB8AqCRR2jNAYks/s1600/IMG_2556.JPG"><img style="display: block; margin: 0px auto 10px; text-align: center; cursor: pointer; width: 320px; height: 240px;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiv7fsUOERegApFDLWHflhwuAqSu4jZ2xuOzxsQ12eh0D1F9iQyVH3B1vsOAJGjZFvkD97F-mxsdHrmno2nW5A4hmKIGFJSzGkcQnVNOo4uo0uVcL9OBx-Fd2UYVfG-YB8AqCRR2jNAYks/s320/IMG_2556.JPG" alt="" id="BLOGGER_PHOTO_ID_5562621805532918962" border="0" /></a><br /><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiE3tgHz4w7oEeQOSMSAZGDZaGtHxJ2AupEcRQEi1SajVfNLkzcKvLzLJuSXbNbqpTm-CrpYn8FjYekNiGZ2jiskpfo0MyUkoPWz0cixwI_5j2u8cUoe7__AY_Hqz9G8wSodYs124pJ630/s1600/IMG_2555.JPG"><img style="display: block; margin: 0px auto 10px; text-align: center; cursor: pointer; width: 320px; height: 240px;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiE3tgHz4w7oEeQOSMSAZGDZaGtHxJ2AupEcRQEi1SajVfNLkzcKvLzLJuSXbNbqpTm-CrpYn8FjYekNiGZ2jiskpfo0MyUkoPWz0cixwI_5j2u8cUoe7__AY_Hqz9G8wSodYs124pJ630/s320/IMG_2555.JPG" alt="" id="BLOGGER_PHOTO_ID_5562621801287613138" border="0" /></a><br /><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEidZqPPevZzvxcGqssXCIkUjL2ubYqnmuBKptb-hUASo0kOjESnhQnDFGmU2II-d9Lo0-2mjh4-mvcV3_mkZDccHiQdgyuBReKZAhNU9pwG0tKqf8ML2OnKHp8pmkalRD-nrQMuL5MlQGQ/s1600/IMG_2552.JPG"><br /></a><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEidZqPPevZzvxcGqssXCIkUjL2ubYqnmuBKptb-hUASo0kOjESnhQnDFGmU2II-d9Lo0-2mjh4-mvcV3_mkZDccHiQdgyuBReKZAhNU9pwG0tKqf8ML2OnKHp8pmkalRD-nrQMuL5MlQGQ/s1600/IMG_2552.JPG"> </a>Unknownnoreply@blogger.com5tag:blogger.com,1999:blog-5074331865759395941.post-26490975228510342362010-11-07T21:52:00.007-05:002010-11-07T22:55:25.896-05:00TOROIDE POLIGONAL<div style="text-align: center;"><span style="color: rgb(255, 0, 0); font-weight: bold;font-size:130%;" >TOROIDE POL</span><span style="color: rgb(255, 0, 0); font-weight: bold;font-size:130%;" >IGONAL</span><br /><br /><a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiHrfeb_hQGrVfPa5WSQKCwD7WEOI2J8rDJgSjlC7ZIXNULCGFCG-6ZUVYxceo8g5zUEM7tVE1STrkL4gQ6_jWcRaS-A3PaSpxDkqAvLja5Q95hHQSg4B0uo8MZ_PHPKtENydrubosYcSY/s1600/IMG_2449.JPG"><img style="margin: 0px auto 10px; display: block; text-align: center; cursor: pointer; width: 320px; height: 240px;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiHrfeb_hQGrVfPa5WSQKCwD7WEOI2J8rDJgSjlC7ZIXNULCGFCG-6ZUVYxceo8g5zUEM7tVE1STrkL4gQ6_jWcRaS-A3PaSpxDkqAvLja5Q95hHQSg4B0uo8MZ_PHPKtENydrubosYcSY/s320/IMG_2449.JPG" alt="" id="BLOGGER_PHOTO_ID_5537012364893960578" border="0" /></a><br /><div style="text-align: justify;">Buen día mis amigos origameros. El día de hoy, les quiero compartir el resultado de un proyecto que inicie desde hace más de dos semanas: Un <span style="color: rgb(51, 51, 255); font-weight: bold;">Toroide poligonal</span>, construido empleando módulos triangulares.<br /></div><br /></div><a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEicemXhtQl9S0WePAzQdhwFRkJd3kzbMEB96DCI9zbpHrbILHsryOrPsG6uUxNMrq_PA4gHav6HVZij7xyqQH21HcojgORyKzs1DMmdl7Q7b2_JEZzDCYXtEmt3MzffpVArfbNfoT-2hqQ/s1600/IMG_2435.JPG"><img style="margin: 0px auto 10px; display: block; text-align: center; cursor: pointer; width: 320px; height: 240px;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEicemXhtQl9S0WePAzQdhwFRkJd3kzbMEB96DCI9zbpHrbILHsryOrPsG6uUxNMrq_PA4gHav6HVZij7xyqQH21HcojgORyKzs1DMmdl7Q7b2_JEZzDCYXtEmt3MzffpVArfbNfoT-2hqQ/s320/IMG_2435.JPG" alt="" id="BLOGGER_PHOTO_ID_5537009536238603106" border="0" /></a><div style="text-align: justify;"><a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg4GwrquJlVw7g4DTy3ezNCDmOl_kIFavwHgziUgR7xXmv_vrcktmV_rXE_v_DS6qQfQhldtciS7LQvAzoPlfDg0hxPQe-m4EcXVy0uYv-QOK7N2ryPRQXltlUDha6rt9bJ8PWnTH-JBC4/s1600/IMG_2437.JPG"><img style="margin: 0px auto 10px; display: block; text-align: center; cursor: pointer; width: 240px; height: 320px;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg4GwrquJlVw7g4DTy3ezNCDmOl_kIFavwHgziUgR7xXmv_vrcktmV_rXE_v_DS6qQfQhldtciS7LQvAzoPlfDg0hxPQe-m4EcXVy0uYv-QOK7N2ryPRQXltlUDha6rt9bJ8PWnTH-JBC4/s320/IMG_2437.JPG" alt="" id="BLOGGER_PHOTO_ID_5537009545230804818" border="0" /></a><a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhUEDPV3yQBk-rDtUJiOs9esqyovLFR6gO4jr3P2OmBomUePs09gqdkYWnUBbrwfFtbANMhn-zliCNYQs4TGCz2cisTuAlDQ7hAp4wSODRCgiR4hmDXA0mFU_D1K2h4GjCLxuxSthH_kJU/s1600/IMG_2436.JPG"><img style="margin: 0px auto 10px; display: block; text-align: center; cursor: pointer; width: 320px; height: 240px;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhUEDPV3yQBk-rDtUJiOs9esqyovLFR6gO4jr3P2OmBomUePs09gqdkYWnUBbrwfFtbANMhn-zliCNYQs4TGCz2cisTuAlDQ7hAp4wSODRCgiR4hmDXA0mFU_D1K2h4GjCLxuxSthH_kJU/s320/IMG_2436.JPG" alt="" id="BLOGGER_PHOTO_ID_5537009540161993010" border="0" /></a><a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjqAzUnnpjbAeWl6lhAF6cqmcJlLZ0SWeyTg3hJjQDOqzF84OacOWdN_MGHBQ8oy0RqkHdzJ8k70Pi5mRXU_AmM2tOG1UhFO0WPg23GTQw-bSX_ugSYN329ZagmzQ2_y6iWiZe8Gcvi9HI/s1600/IMG_2438.JPG"><img style="margin: 0px auto 10px; display: block; text-align: center; cursor: pointer; width: 320px; height: 240px;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjqAzUnnpjbAeWl6lhAF6cqmcJlLZ0SWeyTg3hJjQDOqzF84OacOWdN_MGHBQ8oy0RqkHdzJ8k70Pi5mRXU_AmM2tOG1UhFO0WPg23GTQw-bSX_ugSYN329ZagmzQ2_y6iWiZe8Gcvi9HI/s320/IMG_2438.JPG" alt="" id="BLOGGER_PHOTO_ID_5537009550381382770" border="0" /></a><a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhhYSCv6n5aatvoFBCKogtyR7Ze1-WgEWGPgpkV9B99AaRQdqDkOBBXid6IM0_VgpGD9jH2g8izUh7CkrecYbH4ZyuyX4-SKWzyaUXPaAfYAwsEdEeddkWAyandjHkZmwC2VY-P8SqRJNg/s1600/IMG_2439.JPG"><img style="margin: 0px auto 10px; display: block; text-align: center; cursor: pointer; width: 320px; height: 240px;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhhYSCv6n5aatvoFBCKogtyR7Ze1-WgEWGPgpkV9B99AaRQdqDkOBBXid6IM0_VgpGD9jH2g8izUh7CkrecYbH4ZyuyX4-SKWzyaUXPaAfYAwsEdEeddkWAyandjHkZmwC2VY-P8SqRJNg/s320/IMG_2439.JPG" alt="" id="BLOGGER_PHOTO_ID_5537010527600016914" border="0" /></a><br />Para realizar esta construcción, fue necesario conjugar armónicamente pentágonos, hexágonos y heptágonos regulares, para lograr curvaturas negativas, positivas y cero.<br /><br /></div><a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhdecMnTEBo7HdvgA6uvyijg_7Ujsv5dWgNTJQOoLhEn16xIGNFSNUtkwT8iNSFWOd-m3iHdViKJBUOQaI4NfucpgWwDeFEcYe23VzYx2d2dWWOGLuaSnAArcFFhH2Xwx1jnxww8J2m8VI/s1600/IMG_2451.JPG"><img style="margin: 0px auto 10px; display: block; text-align: center; cursor: pointer; width: 240px; height: 320px;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhdecMnTEBo7HdvgA6uvyijg_7Ujsv5dWgNTJQOoLhEn16xIGNFSNUtkwT8iNSFWOd-m3iHdViKJBUOQaI4NfucpgWwDeFEcYe23VzYx2d2dWWOGLuaSnAArcFFhH2Xwx1jnxww8J2m8VI/s320/IMG_2451.JPG" alt="" id="BLOGGER_PHOTO_ID_5537012381718324850" border="0" /></a><br /><a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiDK7YoKRSsiPxYxaB0gbf3cRxX4i1KFF5tVfLcIEpL-_sPZ6XLMh-xJywrp0MvnkazJ6r3wsRrKrSIb2zYEaHIS_eDWDrqqmDJkDHGdCcNFlifQG7ytEGaimHIvpYFfJbi58OWVtd0POc/s1600/IMG_2452.JPG"><img style="margin: 0px auto 10px; display: block; text-align: center; cursor: pointer; width: 240px; height: 320px;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiDK7YoKRSsiPxYxaB0gbf3cRxX4i1KFF5tVfLcIEpL-_sPZ6XLMh-xJywrp0MvnkazJ6r3wsRrKrSIb2zYEaHIS_eDWDrqqmDJkDHGdCcNFlifQG7ytEGaimHIvpYFfJbi58OWVtd0POc/s320/IMG_2452.JPG" alt="" id="BLOGGER_PHOTO_ID_5537012385161459506" border="0" /></a><br /><div style="text-align: justify;"><a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjwR5-bI4x0ohjZDNLWszPKZuWBgR0lMwMzhVmkyGVMVwOR_0KjWLfroaC8Zjyqe8IWGFOXr5QYYwZyc9KXW8cekVOfdFzNBxK_APtrmsk2hkvpsRdREzi_MraAu2916TUVYPn5fiQ9LTE/s1600/IMG_2453.JPG"><img style="margin: 0px auto 10px; display: block; text-align: center; cursor: pointer; width: 240px; height: 320px;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjwR5-bI4x0ohjZDNLWszPKZuWBgR0lMwMzhVmkyGVMVwOR_0KjWLfroaC8Zjyqe8IWGFOXr5QYYwZyc9KXW8cekVOfdFzNBxK_APtrmsk2hkvpsRdREzi_MraAu2916TUVYPn5fiQ9LTE/s320/IMG_2453.JPG" alt="" id="BLOGGER_PHOTO_ID_5537012388065021650" border="0" /></a><a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj-fRYvtyC1eVwfMWstonW63SdSsmpMyIzRzQl9VEXbIdf3Bi074hlgF9rnWXjDTyfqe_jwyvqOGOUu5b0w8BWnwPC0TLvIiOcAocLPKXZam-ESx7a3tmgDaf3zl47_OWdnjOgsxIOk2mI/s1600/IMG_2455.JPG"><img style="margin: 0px auto 10px; display: block; text-align: center; cursor: pointer; width: 320px; height: 240px;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj-fRYvtyC1eVwfMWstonW63SdSsmpMyIzRzQl9VEXbIdf3Bi074hlgF9rnWXjDTyfqe_jwyvqOGOUu5b0w8BWnwPC0TLvIiOcAocLPKXZam-ESx7a3tmgDaf3zl47_OWdnjOgsxIOk2mI/s320/IMG_2455.JPG" alt="" id="BLOGGER_PHOTO_ID_5537013056296313442" border="0" /></a>En geometría, un <b>toroide</b> es la superficie de revolución generada por una curva plana cerrada que gira alrededor de una recta exterior coplanaria (el eje de rotación situado en su mismo plano). Su forma corresponde con la superficie de los objetos que en lenguaje cotidiano se denominan <i>argollas</i>, <i>anillos</i> o <i>aros</i>. La palabra toroide también se usa para referirse a un poliedro toroidal, la superficie de revolución generada por un polígono que gira alrededor de un eje.<br /></div><br /><a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg83rSzOdqowvSqM5sVFZ2O7O2NO2fqC4ROpAHGmmPhJ2CDKczHK-cr4SZGLHT12xt17ygYAI0_ePNwKgwrWrgkL4wLXlnSh56Z3sBUYmSLKyNlJP1TRCS7XQve4Zd9BQTnliWsi6feTE0/s1600/IMG_2456.JPG"><img style="margin: 0px auto 10px; display: block; text-align: center; cursor: pointer; width: 320px; height: 240px;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg83rSzOdqowvSqM5sVFZ2O7O2NO2fqC4ROpAHGmmPhJ2CDKczHK-cr4SZGLHT12xt17ygYAI0_ePNwKgwrWrgkL4wLXlnSh56Z3sBUYmSLKyNlJP1TRCS7XQve4Zd9BQTnliWsi6feTE0/s320/IMG_2456.JPG" alt="" id="BLOGGER_PHOTO_ID_5537013062355142706" border="0" /></a><br /><a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhJSNg5bDk2C-P-gxnZD9iTP4eH-oDl3UcAZDIZ_q_9v77FED3zZKrVLLWkad2hz3oFtAo5ViuA9VKzqnz5uW97n8kAgPQ0Z-y7eN7fdX5Ghgssl3_oAGVUjeTrWAYBNn1aKExm745ACdw/s1600/IMG_2447.JPG"><img style="margin: 0px auto 10px; display: block; text-align: center; cursor: pointer; width: 320px; height: 240px;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhJSNg5bDk2C-P-gxnZD9iTP4eH-oDl3UcAZDIZ_q_9v77FED3zZKrVLLWkad2hz3oFtAo5ViuA9VKzqnz5uW97n8kAgPQ0Z-y7eN7fdX5Ghgssl3_oAGVUjeTrWAYBNn1aKExm745ACdw/s320/IMG_2447.JPG" alt="" id="BLOGGER_PHOTO_ID_5537011577223440290" border="0" /></a><br /><a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi39GwrxuEqRXyTeScvT8hdnIww0Sq79VawYTunIy2NxSaDfDchY2tR1VL15VpOcxRQZQrB27U3bVX5gNfWNnnH-J4DKXQnKo_BH4sxABmitiHtlWEFWzcoKsTPKAy_OHj1MRl5C5U1OxU/s1600/IMG_2443.JPG"><img style="margin: 0px auto 10px; display: block; text-align: center; cursor: pointer; width: 320px; height: 240px;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi39GwrxuEqRXyTeScvT8hdnIww0Sq79VawYTunIy2NxSaDfDchY2tR1VL15VpOcxRQZQrB27U3bVX5gNfWNnnH-J4DKXQnKo_BH4sxABmitiHtlWEFWzcoKsTPKAy_OHj1MRl5C5U1OxU/s320/IMG_2443.JPG" alt="" id="BLOGGER_PHOTO_ID_5537010550165308242" border="0" /></a><br /><a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjeLLrO6QQ2cOHXSadQ1RT2hCRSObG_pG9W61Q-HdVDimBBueUC-EaD8rNklF_c-nhrSPaKJQJlz0ykw9RVB_lcSk18k9KtSN2KZwnpvICvfDNqCpnNP9x8lxpE0M5nsvrkooeN12KRTWw/s1600/IMG_2441.JPG"><img style="margin: 0px auto 10px; display: block; text-align: center; cursor: pointer; width: 320px; height: 240px;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjeLLrO6QQ2cOHXSadQ1RT2hCRSObG_pG9W61Q-HdVDimBBueUC-EaD8rNklF_c-nhrSPaKJQJlz0ykw9RVB_lcSk18k9KtSN2KZwnpvICvfDNqCpnNP9x8lxpE0M5nsvrkooeN12KRTWw/s320/IMG_2441.JPG" alt="" id="BLOGGER_PHOTO_ID_5537010538733586946" border="0" /></a><br /><a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi48ICZU1dwdY5Wm6x_LD8CtFqpp8op6U7AFk-3NuDx2pkvZOaYIyOHNjAp2h10Pthp5sjthFT-9M66Dn8AWMGi4niSy_0acktgf-MXk8kFDnY4NS0ZDQP2s7gp4hIDN5DJ79GyC8i_uKQ/s1600/IMG_2457.JPG"><img style="margin: 0px auto 10px; display: block; text-align: center; cursor: pointer; width: 320px; height: 240px;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi48ICZU1dwdY5Wm6x_LD8CtFqpp8op6U7AFk-3NuDx2pkvZOaYIyOHNjAp2h10Pthp5sjthFT-9M66Dn8AWMGi4niSy_0acktgf-MXk8kFDnY4NS0ZDQP2s7gp4hIDN5DJ79GyC8i_uKQ/s320/IMG_2457.JPG" alt="" id="BLOGGER_PHOTO_ID_5537013062072390994" border="0" /></a>Unknownnoreply@blogger.com13tag:blogger.com,1999:blog-5074331865759395941.post-53794370274912901122010-10-25T20:58:00.012-05:002010-10-25T22:47:38.034-05:00Dodecaedro Regular: Floridodecaedro<div style="text-align: center;"><span style="font-size:130%;"><span style="color: rgb(255, 0, 0); font-weight: bold;">Actividad de construcción: Floridodecaedro<br /><br /></span></span></div><div style="text-align: center;"><a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgH-UgiUylIvlg3Akv4MPIgmlKTj38YF0osG1WkTLLhBg_8kYOlwwi7qkXWKPmwN2jOz1DSl_8FD58bZVTKZViDC_oXgpkI4vbhyphenhyphenPMUlR6YI5catJchPZBSPCn9EiPudQ5p_Nzu4GqKtVU/s1600/foto+del+flori.JPG"><img style="margin: 0px auto 10px; display: block; text-align: center; cursor: pointer; width: 315px; height: 320px;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgH-UgiUylIvlg3Akv4MPIgmlKTj38YF0osG1WkTLLhBg_8kYOlwwi7qkXWKPmwN2jOz1DSl_8FD58bZVTKZViDC_oXgpkI4vbhyphenhyphenPMUlR6YI5catJchPZBSPCn9EiPudQ5p_Nzu4GqKtVU/s320/foto+del+flori.JPG" alt="" id="BLOGGER_PHOTO_ID_5532191020505641090" border="0" /></a><br /></div><div style="text-align: justify;">En esta actividad de construcción los estudiantes de la I.E Santa Rosa, comprenden los principios básicos para la elaboración de estructuras geométricas dodecaédricas. La fase inicial de la actividad consistió en tomar 60 hojas cuadradas de igual área y se procedió a elaborar los módulos en forma de conos oblicuos.<br /></div><br /><a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgEdM173EJ1tTr3X_zkIZOwJffQ3SXSbWsisR1mxHUHqGGg6R53HcXFdaQ3OTAecnyzcr4yqX7eoJmWgIr82HXiYEfZYo9zT2QKy2Y0CnSABjPUPOjBHQugQtontu7hssMsUsgXlZ8CDyo/s1600/IMG_2413.JPG"><img style="margin: 0px auto 10px; display: block; text-align: center; cursor: pointer; width: 320px; height: 240px;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgEdM173EJ1tTr3X_zkIZOwJffQ3SXSbWsisR1mxHUHqGGg6R53HcXFdaQ3OTAecnyzcr4yqX7eoJmWgIr82HXiYEfZYo9zT2QKy2Y0CnSABjPUPOjBHQugQtontu7hssMsUsgXlZ8CDyo/s320/IMG_2413.JPG" alt="" id="BLOGGER_PHOTO_ID_5532182539678720146" border="0" /></a><br /><a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjeHsCI_XDq2MCZn4fz8RparuZW5p4mmk3hN25LhdrUquvd9XAdlsulK11NKm6l2VERU38zcfOP38N7r2vzlDwp9C_ZkCfLHqA__IZUHiry152jAQsd_4dbjkwImU4y6O8nW5Oddda2td4/s1600/IMG_2411.JPG"><img style="margin: 0px auto 10px; display: block; text-align: center; cursor: pointer; width: 320px; height: 240px;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjeHsCI_XDq2MCZn4fz8RparuZW5p4mmk3hN25LhdrUquvd9XAdlsulK11NKm6l2VERU38zcfOP38N7r2vzlDwp9C_ZkCfLHqA__IZUHiry152jAQsd_4dbjkwImU4y6O8nW5Oddda2td4/s320/IMG_2411.JPG" alt="" id="BLOGGER_PHOTO_ID_5532181409675616530" border="0" /></a><a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiFPekrgArVI410DHRWUnt_mVs1L5cPzL-3XMdqu9tatCR-HdKhyjHh2CmVGnOeKdQhWRyZqOMRd3eiywM1KfN7sBkE5ZrrcAG9dajWRsqLP7JWK9rNvM53AdW_mWeA9-PpmHNBYInd_m8/s1600/IMG_2409.JPG"><img style="margin: 0px auto 10px; display: block; text-align: center; cursor: pointer; width: 320px; height: 240px;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiFPekrgArVI410DHRWUnt_mVs1L5cPzL-3XMdqu9tatCR-HdKhyjHh2CmVGnOeKdQhWRyZqOMRd3eiywM1KfN7sBkE5ZrrcAG9dajWRsqLP7JWK9rNvM53AdW_mWeA9-PpmHNBYInd_m8/s320/IMG_2409.JPG" alt="" id="BLOGGER_PHOTO_ID_5532181402603306898" border="0" /></a><a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi_RNmpCqoukfGIkfG-0nSQNqZaT0P65LcUumzS___UEdJ_NmlqnlKLwyufeMnOmlsvtH5dZPfvoo9WWVhDdUex6N4im_krI5w-PcNbEZHjaRdqJyZsj3mulcueJwfWL8uUj6mkoopFc5w/s1600/IMG_2412.JPG"><img style="margin: 0px auto 10px; display: block; text-align: center; cursor: pointer; width: 240px; height: 320px;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi_RNmpCqoukfGIkfG-0nSQNqZaT0P65LcUumzS___UEdJ_NmlqnlKLwyufeMnOmlsvtH5dZPfvoo9WWVhDdUex6N4im_krI5w-PcNbEZHjaRdqJyZsj3mulcueJwfWL8uUj6mkoopFc5w/s320/IMG_2412.JPG" alt="" id="BLOGGER_PHOTO_ID_5532181414990028162" border="0" /></a><a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiB6XfxPp9IPmy06-BALqTHwNjcEUvOu0rsAtDuIQY-KDh_IyR4Z9XYslcmdtHHtbMFvpgTVSeMZiMu87WZpiRrFbWVutyGMRe5uMvdTyAwWoNniPeiHRjQCeHjMlusUXVUdQbEej9LV-4/s1600/IMG_2408.JPG"><img style="margin: 0px auto 10px; display: block; text-align: center; cursor: pointer; width: 320px; height: 240px;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiB6XfxPp9IPmy06-BALqTHwNjcEUvOu0rsAtDuIQY-KDh_IyR4Z9XYslcmdtHHtbMFvpgTVSeMZiMu87WZpiRrFbWVutyGMRe5uMvdTyAwWoNniPeiHRjQCeHjMlusUXVUdQbEej9LV-4/s320/IMG_2408.JPG" alt="" id="BLOGGER_PHOTO_ID_5532181398453465826" border="0" /></a><br /><div style="text-align: justify;">Una vez construidos los 60 módulos, procedemos a pegar 5 módulos del mismo color, formando pentágonos. De lo anterior nos resultan 12 paquetes:<br /></div><br /><a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjC23VtJNTADwHXbKaOoyXvxND8aGqqT-nI97k-z76f2RRrCZQtaB3Acx146nZIB5FP454oazPZDwfaCYuL98ACM7rY1GB_Comf_brR2ACxWpo99Zht-x9UzLwUvcPFPBzVJ0fdfnnYhOE/s1600/p1.JPG"><img style="margin: 0px auto 10px; display: block; text-align: center; cursor: pointer; width: 240px; height: 320px;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjC23VtJNTADwHXbKaOoyXvxND8aGqqT-nI97k-z76f2RRrCZQtaB3Acx146nZIB5FP454oazPZDwfaCYuL98ACM7rY1GB_Comf_brR2ACxWpo99Zht-x9UzLwUvcPFPBzVJ0fdfnnYhOE/s320/p1.JPG" alt="" id="BLOGGER_PHOTO_ID_5532188066848586658" border="0" /></a><a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj-S-YLJrrAKLHhjq27gFLjH_OfQwb2oOtn5eY2e2mHdTFDp3m7Ymj5FvLrAserL4_bKzNy-27W5lku5IwCU0eEjZY2AYjlmQUTDLmxntoVyvvS2YGBytctjHWdYoWb_oHrRPOMXBrVyTM/s1600/IMG_2414.JPG"><img style="margin: 0px auto 10px; display: block; text-align: center; cursor: pointer; width: 320px; height: 240px;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj-S-YLJrrAKLHhjq27gFLjH_OfQwb2oOtn5eY2e2mHdTFDp3m7Ymj5FvLrAserL4_bKzNy-27W5lku5IwCU0eEjZY2AYjlmQUTDLmxntoVyvvS2YGBytctjHWdYoWb_oHrRPOMXBrVyTM/s320/IMG_2414.JPG" alt="" id="BLOGGER_PHOTO_ID_5532182545670082210" border="0" /></a><a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhJAhTdvzZUGFtsk6DGWWWfm0jsuF298vv5JHIjzXh88DxVsUkYQJ5DmkzFv3eE60ituyPWMxnqh-iCVhlZBeUskSwBphqYaw0gPxGnXvQ1stkgGqWltf-_XD2NeqcTytiU6uCVOpnJ5nM/s1600/IMG_2415.JPG"><img style="margin: 0px auto 10px; display: block; text-align: center; cursor: pointer; width: 240px; height: 320px;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhJAhTdvzZUGFtsk6DGWWWfm0jsuF298vv5JHIjzXh88DxVsUkYQJ5DmkzFv3eE60ituyPWMxnqh-iCVhlZBeUskSwBphqYaw0gPxGnXvQ1stkgGqWltf-_XD2NeqcTytiU6uCVOpnJ5nM/s320/IMG_2415.JPG" alt="" id="BLOGGER_PHOTO_ID_5532182550018921250" border="0" /></a><a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEizXGhEU2vM9nx1uhgzDH-MxQ68LUfkeHfZ0EsEbaYWLgyujfB6WMk3fy6vZXNYjB_K62cT5TD3OV3-Gj7SVzauj5sTXz6TS3W8rPccvtsJC8SJjTLn4CvXkVO-UsBzwNW1TP-fNHaBdH4/s1600/IMG_2419.JPG"><img style="margin: 0px auto 10px; display: block; text-align: center; cursor: pointer; width: 320px; height: 240px;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEizXGhEU2vM9nx1uhgzDH-MxQ68LUfkeHfZ0EsEbaYWLgyujfB6WMk3fy6vZXNYjB_K62cT5TD3OV3-Gj7SVzauj5sTXz6TS3W8rPccvtsJC8SJjTLn4CvXkVO-UsBzwNW1TP-fNHaBdH4/s320/IMG_2419.JPG" alt="" id="BLOGGER_PHOTO_ID_5532185018254066098" border="0" /></a><a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgcpUqNW2EKdPpM2MSgaTj2ANJoPd0gYGwS25rl7IFZPlSa0gQR1_1c3sduLwk_wvt1qOHiKQKbz_i5eI6Gx3sgKVjGoeEQOZ7ZaEpMDMECX6bg-C2dbnbCyrTToYG6jDpKh-pdy0kgDBA/s1600/IMG_2427.JPG"><img style="margin: 0px auto 10px; display: block; text-align: center; cursor: pointer; width: 240px; height: 320px;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgcpUqNW2EKdPpM2MSgaTj2ANJoPd0gYGwS25rl7IFZPlSa0gQR1_1c3sduLwk_wvt1qOHiKQKbz_i5eI6Gx3sgKVjGoeEQOZ7ZaEpMDMECX6bg-C2dbnbCyrTToYG6jDpKh-pdy0kgDBA/s320/IMG_2427.JPG" alt="" id="BLOGGER_PHOTO_ID_5532187449033567346" border="0" /></a><a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg_YIhkcyOp37eZsrw9xwKwo2iaX0kKx0jtkns6zraUXmGYsjJ7v2p2dmVEqEH1CMDFuiCfwhTBSivOGgetcxY_WZab3SGsiGz6JGUE0x5XSpu66vGFhKseDkwUYd9RCpOnS1Ik1xw4ud4/s1600/IMG_2410.JPG"><img style="margin: 0px auto 10px; display: block; text-align: center; cursor: pointer; width: 320px; height: 240px;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg_YIhkcyOp37eZsrw9xwKwo2iaX0kKx0jtkns6zraUXmGYsjJ7v2p2dmVEqEH1CMDFuiCfwhTBSivOGgetcxY_WZab3SGsiGz6JGUE0x5XSpu66vGFhKseDkwUYd9RCpOnS1Ik1xw4ud4/s320/IMG_2410.JPG" alt="" id="BLOGGER_PHOTO_ID_5532181404006524418" border="0" /></a><a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi5QatmXe1KtIpBBDftcu6JnKmPfwquXsq11IU64iVHBvUCWbVfFR5IDwhfYWQeDbxUnylz_bHxnfJVY1ABz3axwZ9HGtx83e9BBMRGtKgttgJZ-X-vBv_WZMI2RglW6i1cOpySx8rVKZ4/s1600/IMG_2429.JPG"><img style="margin: 0px auto 10px; display: block; text-align: center; cursor: pointer; width: 320px; height: 240px;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi5QatmXe1KtIpBBDftcu6JnKmPfwquXsq11IU64iVHBvUCWbVfFR5IDwhfYWQeDbxUnylz_bHxnfJVY1ABz3axwZ9HGtx83e9BBMRGtKgttgJZ-X-vBv_WZMI2RglW6i1cOpySx8rVKZ4/s320/IMG_2429.JPG" alt="" id="BLOGGER_PHOTO_ID_5532187455898468562" border="0" /></a><a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgEV56SsySZcazRnVBUzyW3SrAdTzw5chhQycl062o5FJOEWMJiCKS0QwZZH4xpv6uHFuPuWyfA2xeI9R8vtFxdg4xHARR7K1KPj9K1HDzKBNPbc5H5dClLqhqgxzILCEaEMILwhcjg5S8/s1600/IMG_2418.JPG"><img style="margin: 0px auto 10px; display: block; text-align: center; cursor: pointer; width: 320px; height: 240px;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgEV56SsySZcazRnVBUzyW3SrAdTzw5chhQycl062o5FJOEWMJiCKS0QwZZH4xpv6uHFuPuWyfA2xeI9R8vtFxdg4xHARR7K1KPj9K1HDzKBNPbc5H5dClLqhqgxzILCEaEMILwhcjg5S8/s320/IMG_2418.JPG" alt="" id="BLOGGER_PHOTO_ID_5532185014240536722" border="0" /></a><a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgommVATQRc7Av4HNpIqWa02It2vNlZi4eAKl82WS3cWS_ayIbEOmW44ALte-fcYbMrBU2FHwH919UaXMpTIS_Z3NuuEyJqIt1uFpA_3YgvxsfhiCOQEMWdJIC9QXTZvCZ1z8rC50NCfV4/s1600/IMG_2417.JPG"><img style="margin: 0px auto 10px; display: block; text-align: center; cursor: pointer; width: 320px; height: 240px;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgommVATQRc7Av4HNpIqWa02It2vNlZi4eAKl82WS3cWS_ayIbEOmW44ALte-fcYbMrBU2FHwH919UaXMpTIS_Z3NuuEyJqIt1uFpA_3YgvxsfhiCOQEMWdJIC9QXTZvCZ1z8rC50NCfV4/s320/IMG_2417.JPG" alt="" id="BLOGGER_PHOTO_ID_5532182560802285250" border="0" /></a><br />Finalmente pegamos los doce paquetes teniendo en cuenta los principios de construcción del dodecaedro regular.<br /><br /><a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi-ZPx2eOeo2NFM7SQ2BAy_QitfY5y5p5BADRhFcVtuPjBv02T0-2t6ITquvpX0q77izB9RYcMOTDWuciqxWkSWWFWCQwWOimrozWhLy7ZK4TP0fbuggPlutM7o67krXlSybYFrdUd8Y0g/s1600/IMG_2416.JPG"><img style="margin: 0px auto 10px; 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font-weight: bold;">CARTELERA: SÓLIDOS PLATÓNICOS</span><br /><span style="color: rgb(255, 0, 0); font-weight: bold;">Elaborada por: Lic. Frank y Javier</span><br /></div><br /><div style="text-align: justify;">El siguiente trabajo fue elaborado por los licenciados en matemáticas, Frank y Javier, docentes de la <span style="font-weight: bold;">Institución Educativa Santa Rosa</span>. Esta producción es el producto de la dedicación y esfuerzo de varias semanas. Gracias a Dios, el compromiso es grande, nuestros estudiantes de aguablanca lo necesitan.<br /></div><div style="text-align: center;"><div style="text-align: justify;"><a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjvHsR8yuiDj_AIw3_3IgiTByzmX9jw7__Yyd_3Vk8_sTWe4UY8eRoYLMGSPvm8ELh1OR4VzkZa77kJ0zw-jYQhItxlqzimGRHJayPNYZgh4j4Muj9DSqTahRY7S_CVyyTZnAxnSV6SOiY/s1600/IMG_2372.JPG"><img style="margin: 0px auto 10px; display: block; text-align: center; cursor: pointer; width: 320px; height: 240px;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjvHsR8yuiDj_AIw3_3IgiTByzmX9jw7__Yyd_3Vk8_sTWe4UY8eRoYLMGSPvm8ELh1OR4VzkZa77kJ0zw-jYQhItxlqzimGRHJayPNYZgh4j4Muj9DSqTahRY7S_CVyyTZnAxnSV6SOiY/s320/IMG_2372.JPG" alt="" id="BLOGGER_PHOTO_ID_5525905678661226418" border="0" /></a><a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgrmzevwrYiTnBE8qNm30K4kVrber7d8xyhwdmdDSz_ekcbSQA-SWyGb1jcIvfURClTDrujLCehiWQc2fVP8D_VRg97h1L75J6KIZ4hB0a-DB8KqaYucoUtkRUTDLkaZmslGKzOkE5CDNs/s1600/IMG_2384.JPG"><img style="margin: 0px auto 10px; 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display: block; text-align: center; cursor: pointer; width: 320px; height: 240px;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjGeRoL1ChYosJ77cVcnhXaps1VyNGUehFYdFG0ezXB4U_iOolDoOPhiCEVkAZKbiSqlBlcJfTviggAbmMvcJsrnPniSzkR6uNlU_KUAOutrgS9jZLRJOfv-mB_tex2CUiUOxR62ohsfG0/s320/IMG_2367.JPG" alt="" id="BLOGGER_PHOTO_ID_5525903504928097618" border="0" /></a><a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhBMJIg29txcYn-N5kBEd7TNCS1VuQ5XYwmhZSfVIrgBK-CZQ_oeBPoyvTinABlZJM-ikqqdCMGkuWOopDzOGvZxOd8vFDsjKlPvwmDuN7jSQtlczoTO5tlAs1vpBBPfaMGozud2CMSKxc/s1600/IMG_2366.JPG"><img style="margin: 0px auto 10px; display: block; text-align: center; cursor: pointer; width: 320px; height: 240px;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhBMJIg29txcYn-N5kBEd7TNCS1VuQ5XYwmhZSfVIrgBK-CZQ_oeBPoyvTinABlZJM-ikqqdCMGkuWOopDzOGvZxOd8vFDsjKlPvwmDuN7jSQtlczoTO5tlAs1vpBBPfaMGozud2CMSKxc/s320/IMG_2366.JPG" alt="" id="BLOGGER_PHOTO_ID_5525903499017281154" border="0" /></a><a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjzWxv1FLTVWF90ReeQDoUwoctyzT5GvJHyeBxEy5OjsQCogzw_5-S0yAZPP7hwSkQHh2Vigyq5revoZxGmXD6wCaPteJye3qnSr8_QvR9-I1oGD4EMZqvXYI9tuaIJMpvRACjIhk6jWo4/s1600/IMG_2365.JPG"><img style="margin: 0px auto 10px; display: block; text-align: center; cursor: pointer; width: 320px; height: 240px;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjzWxv1FLTVWF90ReeQDoUwoctyzT5GvJHyeBxEy5OjsQCogzw_5-S0yAZPP7hwSkQHh2Vigyq5revoZxGmXD6wCaPteJye3qnSr8_QvR9-I1oGD4EMZqvXYI9tuaIJMpvRACjIhk6jWo4/s320/IMG_2365.JPG" alt="" id="BLOGGER_PHOTO_ID_5525903492194543218" border="0" /></a><br /></div><span style="font-size:100%;"><span style="color: rgb(255, 0, 0); font-weight: bold;"><span style=";font-family:times new roman;font-size:130%;" >ESTUDIANTES DEL GRADO OCTAVO EXPONIENDO SUS</span></span></span><span style=";font-family:times new roman;font-size:130%;" ><br /></span><span style=";font-family:times new roman;font-size:130%;" ><span style="color: rgb(255, 0, 0); font-weight: bold;"><br />CONSTRUCCIONES EN PAPIROFLEXIA MODULAR:<br /><br />HEXAEDROS TRUNCADOS</span></span><br /></div><br /><a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj-0eT17dmDBc421CyDL2JGA7MmGNZZVapdGzKMrF-fLKtCnOUDwYv2mIzdISG4RDQ3j7Uh5FObB5iTVd0Tkc5tKGRMa1ct6QeAX20mhR-0BwGTAMElIt5SN5YE1Lh2OGMA5-hlpp6gwkM/s1600/IMG_2385.JPG"><img style="margin: 0px auto 10px; display: block; text-align: center; cursor: pointer; width: 320px; height: 240px;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj-0eT17dmDBc421CyDL2JGA7MmGNZZVapdGzKMrF-fLKtCnOUDwYv2mIzdISG4RDQ3j7Uh5FObB5iTVd0Tkc5tKGRMa1ct6QeAX20mhR-0BwGTAMElIt5SN5YE1Lh2OGMA5-hlpp6gwkM/s320/IMG_2385.JPG" alt="" id="BLOGGER_PHOTO_ID_5525912328235361090" border="0" /></a><br /><div style="text-align: justify;">Las producciones no consiste solamente en la construcción del poliedro, observen el registro escrito, tambien es otra obra de arte. 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display: block; text-align: center; cursor: pointer; width: 320px; height: 240px;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiIimrahCMWohK-MQKGWdeLtwdBGU6UWO9LC0EHh64bUsKWyGeqCSjZnKgEV4W6QKaR6hq83yak42xN23XbQwn8VIyUuFxNgtawzqhhC-R0PvUS2oBAmvV7mFwoQIvc69MBBQPHVsk21gs/s320/IMG_2359.JPG" alt="" id="BLOGGER_PHOTO_ID_5525902318322584530" border="0" /></a>Unknownnoreply@blogger.com7tag:blogger.com,1999:blog-5074331865759395941.post-58450118493624420192010-09-18T16:38:00.009-05:002010-10-03T19:45:00.705-05:00La Papiroflexia ...Continúa<div style="text-align: justify;">Un saludo muy cariñoso a todos los compañeros docentes, amigos y mis apreciados estudiantes de la <span style="font-weight: bold;">Institución Educativa de Rozo</span>, espero que el trabajo realizado durante mi permanencia en la institución haya dejado huella en ustedes. Agradezco infinitas veces, los comentarios realizados por ustedes en el blog, espero que continuen enviando sus comentarios, los estoy extrañando muchísimo.<br /><br />Ahora tengo nuevos compañeros y estudiantes, en la <span style="font-weight: bold;">Institución Educativa Santa Rosa</span>, los cuales me han recibo con los brazos abiertos, están muy contentos y con muchas expectativas, en relación al trabajo que vamos a realizar en geometía y en matemáticas en general.<br /><br />A las <span style="font-weight: bold;">instituciones educativas</span>, y al público en general, espero continuar aportando al desarrollo del pensamiento matemático desde este blog, bastante falta que nos hace darle sentido a esta área y continuar en la búsqueda de nuevas metodologías de enseñanza y aprendizaje significativo.<br /></div><br /><a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjc2scUalm4ygHN7PqhGsz3-qEOMXdBYqgWgeBrJJVel0ZWCSjBanBmWRz3qRYZAlumRyrUcDLFE8vdoQplufO5c57agZWVSvn6g9pbMMpMFzRZSjgIfjWj7tMaRgrFeo_0BWjQcXN6G_E/s1600/IMG_2324.JPG"><img style="margin: 0px auto 10px; 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display: block; text-align: center; cursor: pointer; width: 320px; height: 240px;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjkxpludxO1Cd2-2wGC_9rLFinWYPFX_cpW-lgSnREn_fI5mrw4PvnjxRWaGDxGLhLMrAvOpw-2HPtaqlyuPy4pNVBX3eYMEPKCqTyFUN142iUD64ns6HrjxxCTLpZfHIpOhxpyzAN6vyg/s320/IMG_2355.JPG" alt="" id="BLOGGER_PHOTO_ID_5518382051681749682" border="0" /></a>Unknownnoreply@blogger.com0tag:blogger.com,1999:blog-5074331865759395941.post-16557846439139623572010-07-30T20:05:00.003-05:002010-07-30T20:16:59.948-05:00CONSTRUCCIÓN DE PENTÁGONOS REGULARES<div style="text-align: justify;">Buen día amigos origameros. El día de hoy me animé a publicar la construcción de pentágonos regulares, al igual que la respectiva demostración matemática. Para darse una idea de la magnitud de lo que estoy publicando, te recomiendo que consultes los métodos geométricos tradicionales para construir pentágonos empleando regla, escuadra y compás.<br /><br />Para iniciar nuestra construcción, debemos tomar una hoja rectangular(oficio - carta) y obtener de ella un cuadrado, tal como lo hemos realizado anteriormente.<br /><br /><br /><br /></div>Unknownnoreply@blogger.com0tag:blogger.com,1999:blog-5074331865759395941.post-13143289496988335792010-07-04T19:35:00.006-05:002010-07-04T20:56:25.061-05:00Flor Dodecaédrica<div style="text-align: justify;">Buenas noches queridos compañeros papiros. Aqui de nuevo plegando la geometría a través de esta construcción dodecaédrica. Es un hermoso dodecaedro que quiero compartir con ustedes. El tiempo de elaboración es un día completo, pero vale la pena el resultado obtenido. El constraste entre los colores que delimitan cada pentágono es espectacular. Espero que se animen para compartirles esta construcción.<br /></div><br /><a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjm9bjyNEbTstRzQtm3GftAKjMylfYd8yIOX54X7FDq6GmzFtrpVQrkxF9PE41ckHstnjHP8JgGLs40aizh-vhFbsggz4i8oAv6bLUW8aYWCvVqrd7RFlaTCsRhl-u-5qr64NIxgdMk4AU/s1600/IMG_2295.JPG"><img style="margin: 0px auto 10px; display: block; text-align: center; cursor: pointer; width: 320px; height: 240px;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjm9bjyNEbTstRzQtm3GftAKjMylfYd8yIOX54X7FDq6GmzFtrpVQrkxF9PE41ckHstnjHP8JgGLs40aizh-vhFbsggz4i8oAv6bLUW8aYWCvVqrd7RFlaTCsRhl-u-5qr64NIxgdMk4AU/s320/IMG_2295.JPG" alt="" id="BLOGGER_PHOTO_ID_5490221038348111106" border="0" /></a><a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjOJZppIkqATX2Ac01VYs4nT05xgmh5WILKUw6facU7kpeIlmJlyz31jH2zTzsv24VadycM_qsxqQ-5VXAhVw01dFcN2I2kMaZN1QJbEowvZ3_rjG_3QDRv0xve_Omz_PIhrbaq7VX8D4Y/s1600/IMG_2294.JPG"><img style="margin: 0px auto 10px; 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display: block; text-align: center; cursor: pointer; width: 240px; height: 320px;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiwgIIAqjUF4bpYy4OgC1D7R13Dpz34_7_2Q3RrfftRw6Xp7ZlnM1_wTa2mqmBSVcntmAJrjmASQjElZWQ2qWKC-xlWlmLx8RtEv4QLkEDmmhETIe5fqkC3ornTpjDqxKyxFMzwvHiwhZo/s320/IMG_2287.JPG" alt="" id="BLOGGER_PHOTO_ID_5490219909620322370" border="0" /></a><a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjFaL4UHiLkE2A1vy7l4vBkhrzjTnr0FDhf-KHpFcXgoEqhQ0Oe4OfpikwEQv-oC7w-vO_I8zfqDAS3RZtg4auPEnEXZbTVkOYEzngJZw-WZICdlsd3mL-Wd1VBPE7Zl3y8FXnZtaykhbg/s1600/IMG_2286.JPG"><img style="margin: 0px auto 10px; display: block; text-align: center; cursor: pointer; width: 240px; height: 320px;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjFaL4UHiLkE2A1vy7l4vBkhrzjTnr0FDhf-KHpFcXgoEqhQ0Oe4OfpikwEQv-oC7w-vO_I8zfqDAS3RZtg4auPEnEXZbTVkOYEzngJZw-WZICdlsd3mL-Wd1VBPE7Zl3y8FXnZtaykhbg/s320/IMG_2286.JPG" alt="" id="BLOGGER_PHOTO_ID_5490219901662881458" border="0" /></a><a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj3WmzKprDL33u0Ppc060aLUf-Is_R3KvCLGhawPjuYZ3dK-0vH5GT72YXrz2tDG5aTg7iJjF7r-yroThxBDtCM5H21_BNWVzzVl2WkESf-FIvTPoP0IE8WLXVvz62yev1L78zgw890EOY/s1600/IMG_2285.JPG"><img style="margin: 0px auto 10px; display: block; text-align: center; cursor: pointer; width: 240px; height: 320px;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj3WmzKprDL33u0Ppc060aLUf-Is_R3KvCLGhawPjuYZ3dK-0vH5GT72YXrz2tDG5aTg7iJjF7r-yroThxBDtCM5H21_BNWVzzVl2WkESf-FIvTPoP0IE8WLXVvz62yev1L78zgw890EOY/s320/IMG_2285.JPG" alt="" id="BLOGGER_PHOTO_ID_5490219892797626130" border="0" /></a><a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiIrsZ0FRVSGfW-q7Sn74Tul2S3AWxIsKhjCuRimoOSHvuf4oTwUCuftC0MqF8AAhZcM-uBbFlkWf55tqh18BGHWvSdnZH_TZLgdk2X6BYiYQ2-0xIms5V3RIUplbJB0P4xbi8mlmmSG70/s1600/IMG_2282.JPG"><img style="margin: 0px auto 10px; display: block; text-align: center; cursor: pointer; width: 240px; height: 320px;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiIrsZ0FRVSGfW-q7Sn74Tul2S3AWxIsKhjCuRimoOSHvuf4oTwUCuftC0MqF8AAhZcM-uBbFlkWf55tqh18BGHWvSdnZH_TZLgdk2X6BYiYQ2-0xIms5V3RIUplbJB0P4xbi8mlmmSG70/s320/IMG_2282.JPG" alt="" id="BLOGGER_PHOTO_ID_5490215952754536482" border="0" /></a><a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhaybBxAG1PV_yngkFQ5YHy5BNf1hHhIP2Coz0_jlvLECcazt1QkrCN0sihtGCoWmlDPwT5tyW5RMXD38d9Cd-Hw1f0xjXmKrRc2BiTTRIiiLNSxgUM0EqHSgxFGIRq_McP6eiVqDsV6Zs/s1600/IMG_2280.JPG"><img style="margin: 0px auto 10px; display: block; text-align: center; cursor: pointer; width: 240px; height: 320px;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhaybBxAG1PV_yngkFQ5YHy5BNf1hHhIP2Coz0_jlvLECcazt1QkrCN0sihtGCoWmlDPwT5tyW5RMXD38d9Cd-Hw1f0xjXmKrRc2BiTTRIiiLNSxgUM0EqHSgxFGIRq_McP6eiVqDsV6Zs/s320/IMG_2280.JPG" alt="" id="BLOGGER_PHOTO_ID_5490215943861673650" border="0" /></a><a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhmj-P_TSNZBcQlzRfFdLkeS4trwXv0Spoi7y13jpFhyMmHoOHiWgp9qSsUMKd_87W3u73tJ28MefnpBSLD8zEPR77R1yl28rK3YBrzqWB4zb24hGLL4c9Nj39U0oh92sn2zKqXmKYA3hk/s1600/IMG_2279.JPG"><img style="margin: 0px auto 10px; display: block; text-align: center; cursor: pointer; width: 240px; height: 320px;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhmj-P_TSNZBcQlzRfFdLkeS4trwXv0Spoi7y13jpFhyMmHoOHiWgp9qSsUMKd_87W3u73tJ28MefnpBSLD8zEPR77R1yl28rK3YBrzqWB4zb24hGLL4c9Nj39U0oh92sn2zKqXmKYA3hk/s320/IMG_2279.JPG" alt="" id="BLOGGER_PHOTO_ID_5490215939986265138" border="0" /></a><a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEifXG65s0lXOdr8TUTi5fa53GaXt6_cUldjuhv9LLMEqBnuzCNcV-1lc0tC8IEZN8f_9e0QltF_AxS98Z9aDwmzaj4Eqwwsu6Rh3SQH5liJSJlr0hclemosF1N_FoGklXzMm5HhfSD81PU/s1600/IMG_2278.JPG"><img style="margin: 0px auto 10px; display: block; text-align: center; cursor: pointer; width: 240px; height: 320px;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEifXG65s0lXOdr8TUTi5fa53GaXt6_cUldjuhv9LLMEqBnuzCNcV-1lc0tC8IEZN8f_9e0QltF_AxS98Z9aDwmzaj4Eqwwsu6Rh3SQH5liJSJlr0hclemosF1N_FoGklXzMm5HhfSD81PU/s320/IMG_2278.JPG" alt="" id="BLOGGER_PHOTO_ID_5490215938253186722" border="0" /></a>Unknownnoreply@blogger.com3tag:blogger.com,1999:blog-5074331865759395941.post-197805241523409282010-05-25T17:10:00.016-05:002010-05-29T14:28:51.437-05:00◄ Dodecaedro Regular I.E de Rozo sede Rogerio<div style="text-align: justify;"><a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgG_rFJcOsSpNZ6B_4J_U3I793h2A4RbFtR_usQAv_duQIZ3NK9qjqZFE0axQMfUIDVStajp0NDLnxcH7hfDKe0O8jLGwC5QWM2w3vvgnc_oRFYKEiU8jlq95_ibYL41EC3r61PwqbAFrE/s1600/trigonometr%C3%ADa.bmp"><img style="margin: 0px auto 10px; display: block; text-align: center; cursor: pointer; width: 441px; height: 74px;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgG_rFJcOsSpNZ6B_4J_U3I793h2A4RbFtR_usQAv_duQIZ3NK9qjqZFE0axQMfUIDVStajp0NDLnxcH7hfDKe0O8jLGwC5QWM2w3vvgnc_oRFYKEiU8jlq95_ibYL41EC3r61PwqbAFrE/s400/trigonometr%C3%ADa.bmp" alt="" id="BLOGGER_PHOTO_ID_5475363215756593170" border="0" /></a><span style="font-weight: bold;">Buen día amig@s papir@s el día de hoy les comparto la actividad de construcción del dodecaedro regular, que desarrollaron los estudiantes del grado décimo de la I.E del Rozo, Sede Rogerio Vásquez Nieva.<br /></span><a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjJKM-0dRgf0ZPJNMQ8GJjd_BIILXsWdS-yksF7yrtukAs4zfWV9siJAqKEJWSLMsVdcKw9-4EKzbL1BHrhGU8P2DL4l0OpW-97e7XHEuTS9QtU0R3gwCLK2_sL4COBTI2RzRIViO03SmY/s1600/IMG_2199.JPG"><img style="margin: 0px auto 10px; display: block; text-align: center; cursor: pointer; width: 400px; height: 300px;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjJKM-0dRgf0ZPJNMQ8GJjd_BIILXsWdS-yksF7yrtukAs4zfWV9siJAqKEJWSLMsVdcKw9-4EKzbL1BHrhGU8P2DL4l0OpW-97e7XHEuTS9QtU0R3gwCLK2_sL4COBTI2RzRIViO03SmY/s400/IMG_2199.JPG" alt="" id="BLOGGER_PHOTO_ID_5475341388589747986" border="0" /></a><span style="font-weight: bold;">En esta actividad, los estudiantes tienen la posibilidad de manipular el objeto (dodecaedro), observar su estructura completa, analizar cada uno de los elementos que lo conforman (vértices, aristas, caras pentagonales, ángulos diédricos, entre otras características), comprobar el teorema de Euler para los poliedros(Vértices - Aristas + Caras = 2)</span>. <span style="font-weight: bold;"><br /><br />Observen la dedicación de estos jóvenes en el desarrollo de la actividad, el trabajo individual y en equipo:</span><br /><br /></div><div style="text-align: justify;"><a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhBKhSKcVxnuk0-570mLW46RmfQhbSPjhnOuGtM1gCn7W9rhcsbEfKUSIDCFnxSRJXhSwcI6jq-X-u4kanl6j1gkQHGhfVEaWD9rE8aR-UTxBh9g2uEF_EBmE1FZmFYhYEK4cTH8UZKY78/s1600/IMG_2194.JPG"><img style="margin: 0px auto 10px; 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display: block; text-align: center; cursor: pointer; width: 300px; height: 400px;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi1jCUOnlB8Wq603vZTo9YCkr65NTEOXt2VrJkMEBEiLV5Rt8t3b9ErlJMtbQINXWmNxeXikaCfe0Rsf7piNd3TJqvYaeMaehb50YWpkFQvFLrsyaqkRtwQhGnArgfHDRivnts0VsVP4XY/s400/IMG_2201.JPG" alt="" id="BLOGGER_PHOTO_ID_5475341406231206354" border="0" /></a><a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgvDL5ZbgY5L1_KoodQSkJAH9W1LaZLv1aaqO_zM3jcyv7-D45Y1KZmUScpINV2cnucI6scLPH2PNDTuihgItiuMKoQDICtRxNSQK9f0NmvzSuNyU9pqLgz5N96PfbopBqSYqDg_xXCTTo/s1600/IMG_2197.JPG"><img style="margin: 0px auto 10px; display: block; text-align: center; cursor: pointer; width: 400px; height: 300px;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgvDL5ZbgY5L1_KoodQSkJAH9W1LaZLv1aaqO_zM3jcyv7-D45Y1KZmUScpINV2cnucI6scLPH2PNDTuihgItiuMKoQDICtRxNSQK9f0NmvzSuNyU9pqLgz5N96PfbopBqSYqDg_xXCTTo/s400/IMG_2197.JPG" alt="" id="BLOGGER_PHOTO_ID_5475341369034048594" border="0" /></a><a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiguukXlJJ8zEHIOmmlUVuwwXz4McKZzo8mvtM2L5WFEXpqUnLqXOWDnYe1DGL7yW-tS7htNa7wjdJHnT2wxSkthcQ2Nv1jjRyL2VKynPZ59ztw5DJPeLItdXOUBcHLPDjnIOKrFur2MAQ/s1600/IMG_2196.JPG"><img style="margin: 0px auto 10px; display: block; text-align: center; cursor: pointer; width: 400px; height: 300px;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiguukXlJJ8zEHIOmmlUVuwwXz4McKZzo8mvtM2L5WFEXpqUnLqXOWDnYe1DGL7yW-tS7htNa7wjdJHnT2wxSkthcQ2Nv1jjRyL2VKynPZ59ztw5DJPeLItdXOUBcHLPDjnIOKrFur2MAQ/s400/IMG_2196.JPG" alt="" id="BLOGGER_PHOTO_ID_5475338882239597330" border="0" /></a><a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEibJCFO_jiZaDkY9dKfxRVY7-gorRIMyqixE1EcJlMHB2_bCSmla4DQcKWlNPFURlyOm_a9-g_cB71YrKFM7MQDTZu30YN1C8Hi-K1E4Jpey_C_PNru19mwZiL3R07TKtVFCyAOXtw1ESw/s1600/IMG_2195.JPG"><img style="margin: 0px auto 10px; display: block; text-align: center; cursor: pointer; width: 400px; height: 300px;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEibJCFO_jiZaDkY9dKfxRVY7-gorRIMyqixE1EcJlMHB2_bCSmla4DQcKWlNPFURlyOm_a9-g_cB71YrKFM7MQDTZu30YN1C8Hi-K1E4Jpey_C_PNru19mwZiL3R07TKtVFCyAOXtw1ESw/s400/IMG_2195.JPG" alt="" id="BLOGGER_PHOTO_ID_5475338875721725714" border="0" /></a><span style="font-weight: bold;">De vital importancia, desde el punto de vista didáctico y matemático, es la elaboración del módulo. Construir el módulo que permite elaborar este dodecaedro, moviliza en el estudiante conceptos trigonométricos importantes, por ejemplo, la posibilidad de construir triángulos equiláteros, triángulos especiales, generar ángulos de 30º , 60º y 90º, trasladar segmentos, empleando hojas rectangulares o cuadradas.<br /><br />Al final de esta publicación anexaré dos videos, en el primero explico, la elaboración de los triángulos equiláteros, en papel. que permiten la construcción del módulo y en el segundo, los dobleces para la elaboración de dicho módulo. Los análisis geométricos del primer video, deben investigarlos </span><span style="font-weight: bold;">en la publicación del </span><span style="color: rgb(51, 51, 255); font-weight: bold;font-size:100%;" ><span>sábado 22 de mayo de 2010</span></span><span style="font-weight: bold;">, titulada: "<span style="color: rgb(255, 0, 0);">De los triángulos equiláteros a los poliedros</span>" de este mismo blog</span>.<br /><br /></div><div style="text-align: justify;"><a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEidPJGEC5v9Z8CY6O5sT95LjuCVJ2otLcdj6g3gWWmfX4C-QYB_PcRA6EdDZ8MHS6RgUPhEkoiwuhZgCznEsxImfeFhjsUaCMegAUZ9-TubvjIkSO_kbweaYPGslBZ21VQcInVPsLfsKzk/s1600/IMG_2193.JPG"><img style="margin: 0px auto 10px; display: block; text-align: center; cursor: pointer; width: 400px; height: 300px;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEidPJGEC5v9Z8CY6O5sT95LjuCVJ2otLcdj6g3gWWmfX4C-QYB_PcRA6EdDZ8MHS6RgUPhEkoiwuhZgCznEsxImfeFhjsUaCMegAUZ9-TubvjIkSO_kbweaYPGslBZ21VQcInVPsLfsKzk/s400/IMG_2193.JPG" alt="" id="BLOGGER_PHOTO_ID_5475338861174288450" border="0" /></a><a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEikiiaUKLTb4-cNohnIydD9BqmXPN2xiocb1BrfD-pQJl_u7LWuiJr5k-yD4bvHQz8VCV9aon7HKf42O4TG2WA58RiTITwXu3XtKtpTlXyxDZCv5NLtIi60lwgF_lU_q_5igTmCim-4Tk8/s1600/IMG_2191.JPG"><img style="margin: 0px auto 10px; display: block; text-align: center; cursor: pointer; width: 400px; height: 300px;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEikiiaUKLTb4-cNohnIydD9BqmXPN2xiocb1BrfD-pQJl_u7LWuiJr5k-yD4bvHQz8VCV9aon7HKf42O4TG2WA58RiTITwXu3XtKtpTlXyxDZCv5NLtIi60lwgF_lU_q_5igTmCim-4Tk8/s400/IMG_2191.JPG" alt="" id="BLOGGER_PHOTO_ID_5475337396203850418" border="0" /></a><a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgzYfuQJdTHJg4q8EEbxKKYwkWCPWZAPUkq0p0zDH7GFZvzIAXXmiwxCPeVwwUgSIL9eBIZEy60VWCOaqQpurp5CfNRj6rQBIKGFYpsFOtRCQK6zsemw2lxkIPph3aagLBt2yeArC4h6J4/s1600/IMG_2190.JPG"><img style="margin: 0px auto 10px; display: block; text-align: center; cursor: pointer; width: 400px; height: 300px;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgzYfuQJdTHJg4q8EEbxKKYwkWCPWZAPUkq0p0zDH7GFZvzIAXXmiwxCPeVwwUgSIL9eBIZEy60VWCOaqQpurp5CfNRj6rQBIKGFYpsFOtRCQK6zsemw2lxkIPph3aagLBt2yeArC4h6J4/s400/IMG_2190.JPG" alt="" id="BLOGGER_PHOTO_ID_5475337390956203106" border="0" /></a><a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiUas9EMNR-dLmu0J9bH9l3inuJh7iwOMZCuDvLRoVJGqL8azpwcmxlxfOUYaHcHXMc-6rTC3xOFTlez9Wc-JJS3odduFguczHfhUXH8Mg7WtzDGEEiYVHVycUMfybfKqOlroL_irxiJsk/s1600/IMG_2189.JPG"><img style="margin: 0px auto 10px; display: block; text-align: center; cursor: pointer; width: 400px; height: 300px;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiUas9EMNR-dLmu0J9bH9l3inuJh7iwOMZCuDvLRoVJGqL8azpwcmxlxfOUYaHcHXMc-6rTC3xOFTlez9Wc-JJS3odduFguczHfhUXH8Mg7WtzDGEEiYVHVycUMfybfKqOlroL_irxiJsk/s400/IMG_2189.JPG" alt="" id="BLOGGER_PHOTO_ID_5475337379987350866" border="0" /></a><a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhEBbFhZH1bHU1AkcVza_QUTmaZ_Or8unMzn-tq0jwuf2IeSOO8wtDsgZi9SGBKg8VdTwXzDMQR_lYoZjxQNU0sADfXGXbFOWcAiI8u1VR_esF9nsCtP_EgW5ANtCVzULDJ_7v9eNZ1KlI/s1600/IMG_2188.JPG"><img style="margin: 0px auto 10px; display: block; text-align: center; cursor: pointer; width: 400px; height: 300px;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhEBbFhZH1bHU1AkcVza_QUTmaZ_Or8unMzn-tq0jwuf2IeSOO8wtDsgZi9SGBKg8VdTwXzDMQR_lYoZjxQNU0sADfXGXbFOWcAiI8u1VR_esF9nsCtP_EgW5ANtCVzULDJ_7v9eNZ1KlI/s400/IMG_2188.JPG" alt="" id="BLOGGER_PHOTO_ID_5475337376968209378" border="0" /></a><a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjrif_VKe0ZylkGEUfh4vLm9fVjqkEPyjZXBNQjOZZOC6-fKg91aSYpj9QTtw0ndLpAf4dif_z04STiGLiHPGP1bumgfgXJQtpjPFuSo4DthD6qoJE6PK4-r6TPt3muV8jlTUoDFTzIxAY/s1600/IMG_2187.JPG"><img style="margin: 0px auto 10px; display: block; text-align: center; cursor: pointer; width: 400px; height: 300px;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjrif_VKe0ZylkGEUfh4vLm9fVjqkEPyjZXBNQjOZZOC6-fKg91aSYpj9QTtw0ndLpAf4dif_z04STiGLiHPGP1bumgfgXJQtpjPFuSo4DthD6qoJE6PK4-r6TPt3muV8jlTUoDFTzIxAY/s400/IMG_2187.JPG" alt="" id="BLOGGER_PHOTO_ID_5475337368362978098" border="0" /></a><a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgmVsTaRKqUmrZVH48EAOMDhFeDYXSrEytrUeWomaPzwN_lrrSCdRHBO4lcY7RubrWtmgL8nlj2gfOtCE_Lh51zfPY8hSmjGEvn2JT-RNvPPJiiUEbqfFjlh412YAsGvTCMWR1y6-RKttU/s1600/IMG_2186.JPG"><img style="margin: 0px auto 10px; display: block; text-align: center; cursor: pointer; width: 300px; height: 400px;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgmVsTaRKqUmrZVH48EAOMDhFeDYXSrEytrUeWomaPzwN_lrrSCdRHBO4lcY7RubrWtmgL8nlj2gfOtCE_Lh51zfPY8hSmjGEvn2JT-RNvPPJiiUEbqfFjlh412YAsGvTCMWR1y6-RKttU/s400/IMG_2186.JPG" alt="" id="BLOGGER_PHOTO_ID_5475335133873323890" border="0" /></a><a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgUBAtvJfwP3LGX6kxD8-hbYJLMD9eOEeE_pMbvYGBOzualkuD-p-o_UwCb40mP_MwxtYbRAM3IpsyWQcuTiNfh-UbI9DnFUVpCZnG5ybDGbdyn_JpSn0k6TZaai0xH7BERPbCdyobMjfw/s1600/IMG_2185.JPG"><img style="margin: 0px auto 10px; display: block; text-align: center; cursor: pointer; width: 400px; height: 300px;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgUBAtvJfwP3LGX6kxD8-hbYJLMD9eOEeE_pMbvYGBOzualkuD-p-o_UwCb40mP_MwxtYbRAM3IpsyWQcuTiNfh-UbI9DnFUVpCZnG5ybDGbdyn_JpSn0k6TZaai0xH7BERPbCdyobMjfw/s400/IMG_2185.JPG" alt="" id="BLOGGER_PHOTO_ID_5475335121547817266" border="0" /></a><a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgRqk6bswj1piO_0zcrEwhZ4065kpdJt2CFVzVZ5zTbbH_CFr7YmDN-DVXfsTVlbMCNLYJ5va4Ei4V83P40B0M3FVcNFzWpogIWo8fSyuFZ608g7f3xOTUpf2QBc0ZK4sKz7GUREqO4fO8/s1600/IMG_2184.JPG"><img style="margin: 0px auto 10px; display: block; text-align: center; cursor: pointer; width: 400px; height: 300px;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgRqk6bswj1piO_0zcrEwhZ4065kpdJt2CFVzVZ5zTbbH_CFr7YmDN-DVXfsTVlbMCNLYJ5va4Ei4V83P40B0M3FVcNFzWpogIWo8fSyuFZ608g7f3xOTUpf2QBc0ZK4sKz7GUREqO4fO8/s400/IMG_2184.JPG" alt="" id="BLOGGER_PHOTO_ID_5475335115641505266" border="0" /></a><a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEinc4RiZTSJItPZM0_atnpmPzS_V-Vk-Vlxzv-5ld6nXNX-cp-o0JQOrbuONJ2C4_Z5cDlVDdDe8wAe_bQJd5COGBTzIBQeHJACC-1YzGDfTELFRAlODXaUqrqcsYwrcnmQxx6GZRNf0oc/s1600/IMG_2183.JPG"><img style="margin: 0px auto 10px; display: block; text-align: center; cursor: pointer; width: 400px; height: 300px;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEinc4RiZTSJItPZM0_atnpmPzS_V-Vk-Vlxzv-5ld6nXNX-cp-o0JQOrbuONJ2C4_Z5cDlVDdDe8wAe_bQJd5COGBTzIBQeHJACC-1YzGDfTELFRAlODXaUqrqcsYwrcnmQxx6GZRNf0oc/s400/IMG_2183.JPG" alt="" id="BLOGGER_PHOTO_ID_5475335102362101266" border="0" /></a><a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh_0hH5NqEUqS1z4HhmZCbPDklqaq174BbvYGtyu7OADF3QMwqQy8tk0fi2uQmuebN2OyOlgnk2mAzd_iZvNCaI_Ur7hL6TkQjgKWOOv6bK70KGYTImEWITJpvundG0VMjZzntfpa40v54/s1600/IMG_2182.JPG"><img style="margin: 0px auto 10px; display: block; text-align: center; cursor: pointer; width: 400px; height: 300px;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh_0hH5NqEUqS1z4HhmZCbPDklqaq174BbvYGtyu7OADF3QMwqQy8tk0fi2uQmuebN2OyOlgnk2mAzd_iZvNCaI_Ur7hL6TkQjgKWOOv6bK70KGYTImEWITJpvundG0VMjZzntfpa40v54/s400/IMG_2182.JPG" alt="" id="BLOGGER_PHOTO_ID_5475335094077505106" border="0" /></a><span style="font-weight: bold;">Las caras de felicidad, de motivación no es por la toma de las fotos, de hecho, algunas fueron tomadas de improvisto.</span> <span style="font-weight: bold;">Muchos agradecimientos a mis estudiantes, tengan la plena seguridad, que hacen parte de un proyecto muy importante que funciona gracias a ustedes, porque ustedes son la razón de ser de las instituciones.</span><br /><a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj2NbaQ9sZuVDlgavp1izPOq72UdzQdtvZt9dJiFRFdlvPIl6kxhe_Jm2cw1y4-LEnxYKN59LoVwELVxtM10ZDK7vR5kRo9GehRpWks6_mgnePVIIV0w37-SV2G8QMxinss-jWYPj4hz4g/s1600/IMG_2208.JPG"><img style="margin: 0px auto 10px; 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display: block; text-align: center; cursor: pointer; width: 400px; height: 300px;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi14B6Y5TvJ-ADo_VOGlVTImXWIf1ZdF0e4RIHTy49nWRqZOpNzeLgPLWp3Qd_uxmhon-FphufFGat9KH1CHLdsXQTcon02vylc22uwstSq3H4WfmrMFHqCoF2VF8zyrA2WkxHsir-z05Y/s400/IMG_2206.JPG" alt="" id="BLOGGER_PHOTO_ID_5475813376769998226" border="0" /></a><a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhKDy1JRMbpBwBN7MaSgvH-9Uq_Wv-tS9nYb01zXBMPuhw6rX3haVXOOBWqkjWeTJqa2no2lqzF0f8_b0ZD9eZq4a9mRFniRnPtO3ihdLzmGpOP4EMV2vRhnUDdUezlXZgSvbc9JMr9gIk/s1600/IMG_2205.JPG"><img style="margin: 0px auto 10px; display: block; text-align: center; cursor: pointer; width: 400px; height: 300px;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhKDy1JRMbpBwBN7MaSgvH-9Uq_Wv-tS9nYb01zXBMPuhw6rX3haVXOOBWqkjWeTJqa2no2lqzF0f8_b0ZD9eZq4a9mRFniRnPtO3ihdLzmGpOP4EMV2vRhnUDdUezlXZgSvbc9JMr9gIk/s400/IMG_2205.JPG" alt="" id="BLOGGER_PHOTO_ID_5475813369670331714" border="0" /></a><span style="font-weight: bold;"><br /></span></div><div style="text-align: center;"><iframe allowfullscreen='allowfullscreen' webkitallowfullscreen='webkitallowfullscreen' mozallowfullscreen='mozallowfullscreen' width='320' height='266' src='https://www.blogger.com/video.g?token=AD6v5dxYDcpLYo2G8-bGJgBhv2_Fk8sT5tmkumGdNvyXCNCUX2vqORdrz3iRBkln6bFFV-EVw5oX3-a20kXUj26sNQ' class='b-hbp-video b-uploaded' frameborder='0'></iframe><br /></div><div style="text-align: center;"><br /><br /><iframe allowfullscreen='allowfullscreen' webkitallowfullscreen='webkitallowfullscreen' mozallowfullscreen='mozallowfullscreen' width='320' height='266' src='https://www.blogger.com/video.g?token=AD6v5dxAIB7EkrdFda3pHOdzjUKrgzwfmT_1_qwNL6CBB9HeKRK52itNTsCDrXPZBMGM4wSy8ulKvtsdsNGxatGq3g' class='b-hbp-video b-uploaded' frameborder='0'></iframe><br /></div>Unknownnoreply@blogger.com4tag:blogger.com,1999:blog-5074331865759395941.post-89265018096039468462010-05-23T19:04:00.014-05:002011-02-13T17:05:30.307-05:00◄ Representación Origámica del Número Aureo o Número de Oro<div style="text-align: justify;"><span style="font-weight: bold;">Buen día compañer@s origamitos. El objetivo de esta actividad consiste en representar geométricamente, mediante dobleces, las soluciones reales de la ecuación cuadrática </span><a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgXcfC0aXsK1UbZHPM1SPTq6PB0UlweOT3-nU0SupTlrHshS15n4GMPw99MfTka8TD2la7YskUGhobm3fUvHzHohE8PIZNFB6sd-z6BrkLS3Z4UJh0y5qKGltuyauETdPkmComao9TSDH8/s1600/Dibujo3.bmp"><img style="margin: 0px auto 10px; display: block; text-align: center; cursor: pointer; width: 127px; height: 23px;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgXcfC0aXsK1UbZHPM1SPTq6PB0UlweOT3-nU0SupTlrHshS15n4GMPw99MfTka8TD2la7YskUGhobm3fUvHzHohE8PIZNFB6sd-z6BrkLS3Z4UJh0y5qKGltuyauETdPkmComao9TSDH8/s400/Dibujo3.bmp" alt="" id="BLOGGER_PHOTO_ID_5474624810039716674" border="0" /></a><span style="font-weight: bold;"> en la cual, una de las soluciones es el número de oro. Pero, ¿qué es el número de oro?</span>
<br /></div><span style="font-weight: bold;font-size:100%;" >
<br /></span><div style="text-align: justify;"><span style="font-weight: bold;font-size:100%;" >Se trata de un número algebraico que posee propiedades muy interesantes y que fue descubierto en la antigüedad, no como “unidad” sino como relación o proporción entre segmentos de rectas. Esta proporción se encuentra tanto en algunas figuras geométricas, como en la naturaleza, en elementos tales como caracoles, nervaduras de las hojas de algunos árboles, el grosor de las ramas, entre otras. Observa el siguiente segmento:
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<br /><a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhThejEiPNKktOe9MJm_PDCabNlyzXeAHAesnyOhcFDDDt9N_ENwRVWsM8Z63J9oi91SRaNHktYana9UvlLLm-KWzVf4sWBfFTp7F9dVFeHty8TLZNPSM2R_Fi_iczkZx1IwebxdRTS9iU/s1600/aurea.bmp"><img style="margin: 0px auto 10px; display: block; text-align: center; cursor: pointer; width: 204px; height: 97px;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhThejEiPNKktOe9MJm_PDCabNlyzXeAHAesnyOhcFDDDt9N_ENwRVWsM8Z63J9oi91SRaNHktYana9UvlLLm-KWzVf4sWBfFTp7F9dVFeHty8TLZNPSM2R_Fi_iczkZx1IwebxdRTS9iU/s400/aurea.bmp" alt="" id="BLOGGER_PHOTO_ID_5474623111894832418" border="0" /></a><span style="font-size:100%;">
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mso-tstyle-colband-size:0; mso-style-noshow:yes; mso-style-priority:99; mso-style-qformat:yes; mso-style-parent:""; mso-padding-alt:0cm 5.4pt 0cm 5.4pt; mso-para-margin-top:0cm; mso-para-margin-right:0cm; mso-para-margin-bottom:10.0pt; mso-para-margin-left:0cm; line-height:115%; mso-pagination:widow-orphan; font-size:11.0pt; font-family:"Calibri","sans-serif"; mso-ascii-font-family:Calibri; mso-ascii-theme-font:minor-latin; mso-hansi-font-family:Calibri; mso-hansi-theme-font:minor-latin; mso-fareast-language:EN-US;} </style> <![endif]--> <p class="MsoNormal" style="margin-bottom: 0.0001pt; line-height: normal; font-weight: bold;"><span style=";font-family:";font-size:100%;" >Una sección áurea es una división en dos partes de un segmento según proporciones dadas por el número áureo. La longitud total <i><span style="color:green;">a+b</span></i> es al segmento más largo <span style="color: rgb(51, 51, 255);">a</span> como <span style="color: rgb(51, 51, 255);">a </span> es al segmento más corto <i><span style="color:red;">b</span></i>.</span></p><p class="MsoNormal" style="margin-bottom: 0.0001pt; line-height: normal; font-weight: bold;">
<br /><span style=";font-family:";font-size:100%;" ><o:p></o:p></span></p> <p class="MsoNormal" style="line-height: normal; font-weight: bold; text-align: justify;"><span style=";font-family:";font-size:100%;" >El número áureo o de oro (también llamado número plateado, razón extrema y media, razón áurea, razón dorada, media áurea, proporción áurea y divina proporción) representado con la letra griega</span> <a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh3iDTiyJGziQxuD_TMYvEGGxxOTTYmw0sWxBrgDg9cZilHyGg05dL4aGnF8lHnLfKMrzXtsfvIICCuV4SrpRh6P0ARVWxFtKJFHTjjCj_T9cKQcxrxMkMklR54n6PWa4NjcQtXXkhSSk8/s1600/phi.bmp"><img style="margin: 0px auto 10px; display: block; text-align: center; cursor: pointer; width: 24px; height: 24px;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh3iDTiyJGziQxuD_TMYvEGGxxOTTYmw0sWxBrgDg9cZilHyGg05dL4aGnF8lHnLfKMrzXtsfvIICCuV4SrpRh6P0ARVWxFtKJFHTjjCj_T9cKQcxrxMkMklR54n6PWa4NjcQtXXkhSSk8/s400/phi.bmp" alt="" id="BLOGGER_PHOTO_ID_5476509486188000258" border="0" /></a><span style=";font-family:";font-size:100%;" >(fi) (en honor al escultor griego Fidias), es el número irracional</span><img src="file:///C:/DOCUME%7E1/ADMINI%7E1/CONFIG%7E1/Temp/moz-screenshot-8.jpg" alt="" /></p><p class="MsoNormal" style="line-height: normal; font-weight: bold;"><a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj0xQFqjB0DFowaxLAytz5mDp-NwGrKN_Fhgu0U4ceOPdrBKwxdij_5_lM0Zg0g3t4F5ZVdDZHBTHzlsR2UU1uuG61w9VsbP7H5R3zDQng8mT4eL5JxezZeZ6b5WspyNgyT58cEs1eWAuM/s1600/fi.bmp"><img style="margin: 0px auto 10px; display: block; text-align: center; cursor: pointer; width: 400px; height: 39px;" 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font-family:"Calibri","sans-serif"; mso-ascii-font-family:Calibri; mso-ascii-theme-font:minor-latin; mso-hansi-font-family:Calibri; mso-hansi-theme-font:minor-latin; mso-fareast-language:EN-US;} </style> <![endif]--> </p><p class="MsoNormal" style="line-height: normal; font-weight: bold;"><span style=";font-family:";font-size:100%;" >Se dice que dos números positivos a y b están en razón áurea si y sólo si:<o:p></o:p></span></p> <p class="MsoNormal" style="line-height: normal; font-weight: bold;"><a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi51L6IJTZGKMzSClCt1iVUPy9LRiY0wmjxIs832D8o39seKcI24_kh54AiospnpUC5Sut052-yw8cRZJL3Xg8znCTnvdxv_pqjhCqoP6AIaRMA83x1ggJHWSk0xJBNn_J_w0S9tHQuIWg/s1600/Dibujo1.bmp"><img style="margin: 0px auto 10px; display: block; text-align: center; cursor: pointer; width: 128px; height: 46px;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi51L6IJTZGKMzSClCt1iVUPy9LRiY0wmjxIs832D8o39seKcI24_kh54AiospnpUC5Sut052-yw8cRZJL3Xg8znCTnvdxv_pqjhCqoP6AIaRMA83x1ggJHWSk0xJBNn_J_w0S9tHQuIWg/s400/Dibujo1.bmp" alt="" id="BLOGGER_PHOTO_ID_5474624800311250210" border="0" /></a><span style=";font-family:";font-size:100%;" ><o:p></o:p></span></p> <p class="MsoNormal" style="line-height: normal; font-weight: bold;"><span style=";font-family:";font-size:100%;" >Para obtener el valor de <span style=""><!--[if gte vml 1]><v:shape id="Imagen_x0020_13" spid="_x0000_i1029" type="#_x0000_t75" alt="\varphi" style="'width:9.75pt;height:9.75pt;visibility:visible;mso-wrap-style:square'"> <v:imagedata src="file:///C:\DOCUME~1\ADMINI~1\CONFIG~1\Temp\msohtmlclip1\01\clip_image002.gif" title="varphi"> </v:shape><![endif]--><!--[if !vml]--></span> fi, a partir de esta razón considere lo siguiente:<o:p></o:p></span></p> <p class="MsoNormal" style="line-height: normal; font-weight: bold;"><span style=";font-family:";font-size:100%;" >Que la longitud del segmento más corto <i>b</i> sea 1 y que la de <i>a</i> sea <i>x</i>. Para que estos segmentos cumplan con la razón áurea deben cumplir que:<o:p></o:p></span></p> <p class="MsoNormal" style="line-height: normal; font-weight: bold;"><a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjkZmCw0FFFxVch_JmFSOhPdDfiyeXpg-fd2JxsqCDtWk1hjTiJCTlbQOTycW6O5Ff4Prt0AtwM0XvvNE-bpQPk8_v3QWiuVRdqQfVPH4_r7sSExNitMSoiKZe1ukwtFBVgNc_dRyKutYo/s1600/Dibujo2.bmp"><img style="margin: 0px auto 10px; display: block; text-align: center; cursor: pointer; width: 92px; height: 46px;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjkZmCw0FFFxVch_JmFSOhPdDfiyeXpg-fd2JxsqCDtWk1hjTiJCTlbQOTycW6O5Ff4Prt0AtwM0XvvNE-bpQPk8_v3QWiuVRdqQfVPH4_r7sSExNitMSoiKZe1ukwtFBVgNc_dRyKutYo/s400/Dibujo2.bmp" alt="" id="BLOGGER_PHOTO_ID_5474624808705918642" border="0" /></a><span style=";font-family:";font-size:100%;" ><o:p></o:p></span></p> <p class="MsoNormal" style="line-height: normal; font-weight: bold;"><span style=";font-family:";font-size:100%;" >Multiplicando ambos lados por<span style="color: rgb(255, 0, 0);"> <span style="color: rgb(51, 51, 255);">x</span></span> y reordenando:<o:p></o:p></span></p> <p class="MsoNormal" style="line-height: normal; font-weight: bold;"><a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgXcfC0aXsK1UbZHPM1SPTq6PB0UlweOT3-nU0SupTlrHshS15n4GMPw99MfTka8TD2la7YskUGhobm3fUvHzHohE8PIZNFB6sd-z6BrkLS3Z4UJh0y5qKGltuyauETdPkmComao9TSDH8/s1600/Dibujo3.bmp"><img style="margin: 0px auto 10px; display: block; text-align: center; cursor: pointer; width: 127px; height: 23px;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgXcfC0aXsK1UbZHPM1SPTq6PB0UlweOT3-nU0SupTlrHshS15n4GMPw99MfTka8TD2la7YskUGhobm3fUvHzHohE8PIZNFB6sd-z6BrkLS3Z4UJh0y5qKGltuyauETdPkmComao9TSDH8/s400/Dibujo3.bmp" alt="" id="BLOGGER_PHOTO_ID_5474624810039716674" border="0" /></a><span style=";font-family:";font-size:100%;" ><o:p></o:p></span></p> <p class="MsoNormal" style="line-height: normal; font-weight: bold;"><span style=";font-family:";font-size:100%;" >Mediante la fórmula cuadrática se obtiene que las dos soluciones de la ecuación, las cuales son:<o:p></o:p></span></p> <p class="MsoNormal" style="line-height: normal; font-weight: bold; text-align: center;"><a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjUD8e2KnGABeL9u6Vs507v6iSrN2PeT4CRFLThEpnTtbJEJxuywmca-jt3PUbo_iQyqAyps673fLNTUeLw2sL1zd9eMMFplSb5ta0VBYrM_kMGC9nP-k3G4dWdJ5dDgFdTXeT225DM-58/s1600/Dibujo4.bmp"><img style="margin: 0px auto 10px; display: block; text-align: center; cursor: pointer; width: 238px; height: 49px;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjUD8e2KnGABeL9u6Vs507v6iSrN2PeT4CRFLThEpnTtbJEJxuywmca-jt3PUbo_iQyqAyps673fLNTUeLw2sL1zd9eMMFplSb5ta0VBYrM_kMGC9nP-k3G4dWdJ5dDgFdTXeT225DM-58/s400/Dibujo4.bmp" alt="" id="BLOGGER_PHOTO_ID_5474624817822024066" border="0" /></a></p><p class="MsoNormal" style="line-height: normal; font-weight: bold; text-align: center;"><a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgSp4xwV3YjobrRrbX06m0JtQcJK4FKXgo8aJNVg4A8cgYHVA5bkUaMv7XX4TmBvWtTLAA9x_0Mw5W8fmoxednDVdvz9UO8DU4y0BBoP4zYjSu9XMnDnE6gpRiVMmNKq8jcKhyphenhyphen53DLF5Fw/s1600/Dibujo5.bmp"><img style="margin: 0px auto 10px; display: block; text-align: center; cursor: pointer; width: 235px; height: 49px;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgSp4xwV3YjobrRrbX06m0JtQcJK4FKXgo8aJNVg4A8cgYHVA5bkUaMv7XX4TmBvWtTLAA9x_0Mw5W8fmoxednDVdvz9UO8DU4y0BBoP4zYjSu9XMnDnE6gpRiVMmNKq8jcKhyphenhyphen53DLF5Fw/s400/Dibujo5.bmp" alt="" id="BLOGGER_PHOTO_ID_5474624821194410594" border="0" /></a></p> <p class="MsoNormal" style="line-height: normal;"><span style=";font-family:";font-size:100%;" ><!--[if gte vml 1]><v:shape id="Imagen_x0020_17" spid="_x0000_i1025" type="#_x0000_t75" alt="x_2 = \frac{1 - \sqrt{5}}{2} = -\frac{1}{\varphi} \approx -0,61803" style="'width:208.5pt;height:36.75pt;visibility:visible;mso-wrap-style:square'"> <v:imagedata src="file:///C:\DOCUME~1\ADMINI~1\CONFIG~1\Temp\msohtmlclip1\01\clip_image006.gif" title="approx -0,61803"> </v:shape><![endif]--><!--[if !vml]--></span><span style=";font-family:";font-size:100%;" ><span style="font-weight: bold;">La solución positiva es el valor del número áureo.</span><o:p></o:p></span></p><span style="font-size:100%;">
<br /></span><span style=";font-family:";font-size:100%;" ><o:p></o:p></span><p></p> <span style="font-size:100%;"><span style="font-weight: bold;">A continuación representaré cada una de estas soluciones empleando dobleces. Finalmente observaremos lo que sucede con la representación gráfica en el plano cartesiano.
<br /></span></span><a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEinJDmJCiTzunAPusQgXjf_ftQXxZPHZQyhiZODMSuEmItnzJwqg_ZgnJlLj6rvHL5pMbxaiHc-eUnyMEX-7PrPTdtjGHavzI0ghepiysgzwQ4GzQZeUTPVlkiLvxwfxLL1HWvB0IOVdV4/s1600/titulo+rectangulo+aureo.bmp"><img style="margin: 0px auto 10px; display: block; text-align: center; cursor: pointer; width: 404px; height: 45px;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEinJDmJCiTzunAPusQgXjf_ftQXxZPHZQyhiZODMSuEmItnzJwqg_ZgnJlLj6rvHL5pMbxaiHc-eUnyMEX-7PrPTdtjGHavzI0ghepiysgzwQ4GzQZeUTPVlkiLvxwfxLL1HWvB0IOVdV4/s400/titulo+rectangulo+aureo.bmp" alt="" id="BLOGGER_PHOTO_ID_5476786697114664002" border="0" /></a><span style="font-size:100%;"><span style="font-weight: bold;">Primero, vamos a construir un rectángulo de oro. Un rectángulo de oro o áureo es aquel cuyos lados están en razón aurea, esto significa que al expresar la razón entre el lado mayor y el lado menor, se obtiene exactamente:</span></span>
<br /><p class="MsoNormal" style="line-height: normal; font-weight: bold; text-align: center;"><a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjUD8e2KnGABeL9u6Vs507v6iSrN2PeT4CRFLThEpnTtbJEJxuywmca-jt3PUbo_iQyqAyps673fLNTUeLw2sL1zd9eMMFplSb5ta0VBYrM_kMGC9nP-k3G4dWdJ5dDgFdTXeT225DM-58/s1600/Dibujo4.bmp"><img style="margin: 0px auto 10px; display: block; text-align: center; cursor: pointer; width: 238px; height: 49px;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjUD8e2KnGABeL9u6Vs507v6iSrN2PeT4CRFLThEpnTtbJEJxuywmca-jt3PUbo_iQyqAyps673fLNTUeLw2sL1zd9eMMFplSb5ta0VBYrM_kMGC9nP-k3G4dWdJ5dDgFdTXeT225DM-58/s400/Dibujo4.bmp" alt="" id="BLOGGER_PHOTO_ID_5474624817822024066" border="0" /></a></p><span style="font-weight: bold;">Iniciamos con una hoja tamaño carta, es decir un rectángulo.
<br /></span><a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgE4-9pCwa1gmWS0zBGAHGXp2oHu24JpMihjDx6yXYvWpfzPXdbuE57rCcWMApVPqldLd4yrQcIVdRxk_Be2LaQcAXSwJCb18rWN_CEpVgpANVwwc5Du8WJgJEoj8eyAXO9Xv9DZKeN81I/s1600/IMG_2257.JPG"><img style="margin: 0px auto 10px; display: block; text-align: center; cursor: pointer; width: 400px; height: 300px;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgE4-9pCwa1gmWS0zBGAHGXp2oHu24JpMihjDx6yXYvWpfzPXdbuE57rCcWMApVPqldLd4yrQcIVdRxk_Be2LaQcAXSwJCb18rWN_CEpVgpANVwwc5Du8WJgJEoj8eyAXO9Xv9DZKeN81I/s400/IMG_2257.JPG" alt="" id="BLOGGER_PHOTO_ID_5476789453573853090" border="0" /></a><span style="font-weight: bold;">Para esta construcción en particular voy a marcar, con dobleces, el mayor rectángulo de proporciones 1:2 que se puede obtener d</span><span style="font-weight: bold;">e la hoja anterior. Para que les quede mas claro, vamos a obtener el mayor rectángulo que se puede obtener con esta hoja, de tal forma que uno de los lados sea el doble del otro. Para ello, iniciamos doblando y marcando la mitad de un lado de la hoja, por el lado más largo:
<br /></span><a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj4wUeWFA-5-gTXUVbZ2TFgkpyYHH-3NR-Nc-WZwB4qtyVY7NRhyC5aLCV8CuT7yNGCBkSU7XG83e8q56YQ2JKd6AI7Xqmpji1jg_RhaZ9-XHxnuh_x6UPWsZlIrBQO2zbdTvxGLZCA1RQ/s1600/IMG_2260.JPG"><img style="margin: 0px auto 10px; display: block; text-align: center; cursor: pointer; width: 400px; height: 300px;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj4wUeWFA-5-gTXUVbZ2TFgkpyYHH-3NR-Nc-WZwB4qtyVY7NRhyC5aLCV8CuT7yNGCBkSU7XG83e8q56YQ2JKd6AI7Xqmpji1jg_RhaZ9-XHxnuh_x6UPWsZlIrBQO2zbdTvxGLZCA1RQ/s400/IMG_2260.JPG" alt="" id="BLOGGER_PHOTO_ID_5476789469013514642" border="0" /></a><a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiiXkt14foiI9iDGusWAcVGZ7MNlgLDX7NeFW__QZCiI6pZCdO_LllZKL-rVo8Eswmtynouv7CiavbkdMiY-KVWyUCeL4lr5g7_Yooo7KpvTjJgWY3kH11oy64zFk3FV_1okkkNzHfuW_E/s1600/copia+de+2258.gif"><img style="margin: 0px auto 10px; display: block; text-align: center; cursor: pointer; width: 400px; height: 300px;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiiXkt14foiI9iDGusWAcVGZ7MNlgLDX7NeFW__QZCiI6pZCdO_LllZKL-rVo8Eswmtynouv7CiavbkdMiY-KVWyUCeL4lr5g7_Yooo7KpvTjJgWY3kH11oy64zFk3FV_1okkkNzHfuW_E/s400/copia+de+2258.gif" alt="" id="BLOGGER_PHOTO_ID_5476790809399058322" border="0" /></a><a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh1VZnLmX_S37GUpWiFzggaGLKdHMa-DwbqIXUwo0vUAcLK0xqEtTRy4Es0fuOo-u8KAdmL04L-JfXipauBNlQgjPhDLd81-XluJKwCqvME2drNNmx6BCC6etXAZSs-HQDx1jhyU4Dj5NA/s1600/copia+de+2259.gif"><img style="margin: 0px auto 10px; display: block; text-align: center; cursor: pointer; width: 400px; height: 300px;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh1VZnLmX_S37GUpWiFzggaGLKdHMa-DwbqIXUwo0vUAcLK0xqEtTRy4Es0fuOo-u8KAdmL04L-JfXipauBNlQgjPhDLd81-XluJKwCqvME2drNNmx6BCC6etXAZSs-HQDx1jhyU4Dj5NA/s400/copia+de+2259.gif" alt="" id="BLOGGER_PHOTO_ID_5476791637340329394" border="0" /></a><span style="font-weight: bold;">Posteriormente procedemos a superponer el punto marcado con lapicero sobre el otro lado (el lado mas corto del rectángulo), tal como se muestra en las siguentes </span><span style="font-weight: bold;">fotos:</span>
<br /><a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiO9oJUr8Q8uCzMmSWIzFxZ9Jg5nk-BpUHz20ilMUZO2xCMdnswf-lVTaKyTFr_9Hn06F3V_02GvFvHceT7orl_FeRLj6zTtHKUIy0PRnkdDwuLfDuWfZ45DnCWN5JEFb1DhhFdZeAwXnw/s1600/IMG_2261.JPG"><img style="margin: 0px auto 10px; display: block; text-align: center; cursor: pointer; width: 320px; height: 240px;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiO9oJUr8Q8uCzMmSWIzFxZ9Jg5nk-BpUHz20ilMUZO2xCMdnswf-lVTaKyTFr_9Hn06F3V_02GvFvHceT7orl_FeRLj6zTtHKUIy0PRnkdDwuLfDuWfZ45DnCWN5JEFb1DhhFdZeAwXnw/s320/IMG_2261.JPG" alt="" id="BLOGGER_PHOTO_ID_5482062820294322754" border="0" /></a><a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi_DOyUBLrDIHiJqlU1eeWyfw6UsRScNfXhOgWOMiay0dSeOMxEBc0PjRor2bPeKEOPn4LcZpbO4YN5_nF2it_4SOtK4Rht4v60b-XEvrLbbh9eUDD0TAIvxzOr6nLclBMr-4uPg3RgiR8/s1600/IMG_2262.JPG"><img style="margin: 0px auto 10px; display: block; text-align: center; cursor: pointer; width: 320px; height: 240px;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi_DOyUBLrDIHiJqlU1eeWyfw6UsRScNfXhOgWOMiay0dSeOMxEBc0PjRor2bPeKEOPn4LcZpbO4YN5_nF2it_4SOtK4Rht4v60b-XEvrLbbh9eUDD0TAIvxzOr6nLclBMr-4uPg3RgiR8/s320/IMG_2262.JPG" alt="" id="BLOGGER_PHOTO_ID_5482063671213541810" border="0" /></a><a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjHXiDGI1PtRrov0XnaauypizllA7JCdZiHTuW35f2dGvdqng-4T-V44ZZXc8JALVeWGWI9dsTA2idgVrdlb81Wi_U0TeyhXhP_LWAnLxG44ykyHnTHjIC28qpo_0BF-xC2ZE2E3men4TE/s1600/IMG_2263.JPG"><img style="margin: 0px auto 10px; display: block; text-align: center; cursor: pointer; width: 320px; height: 240px;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjHXiDGI1PtRrov0XnaauypizllA7JCdZiHTuW35f2dGvdqng-4T-V44ZZXc8JALVeWGWI9dsTA2idgVrdlb81Wi_U0TeyhXhP_LWAnLxG44ykyHnTHjIC28qpo_0BF-xC2ZE2E3men4TE/s320/IMG_2263.JPG" alt="" id="BLOGGER_PHOTO_ID_5482064216433279122" border="0" /></a><a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjkKYL52z1il9fBI_UaqHccv9R131drG8I0-WoIYR951tdn8asN8MRI0P564bhGPPVVbGM3W6uz1kdnC2XN1NObzpHczUJ2AnpmSIHtsjKIutYcVhTan4hu-uIJNGITCXQh0fQ6MRUxImI/s1600/IMG_2265.JPG"><img style="margin: 0px auto 10px; display: block; text-align: center; cursor: pointer; width: 320px; height: 240px;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjkKYL52z1il9fBI_UaqHccv9R131drG8I0-WoIYR951tdn8asN8MRI0P564bhGPPVVbGM3W6uz1kdnC2XN1NObzpHczUJ2AnpmSIHtsjKIutYcVhTan4hu-uIJNGITCXQh0fQ6MRUxImI/s320/IMG_2265.JPG" alt="" id="BLOGGER_PHOTO_ID_5482064903617205298" border="0" /></a><span style="font-weight: bold;">Este punto marcado es la guía para construir el rectángulo que necesitamos. Simplemente doblamos hacia atrás y obtenemos la siguiente cicatriz:
<br /></span><a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgqAyTYpiHRi8d5cHWs_3q9JajAhLQFmf7aucBp3yDf0b4kkujYzpIRFsGrTrTMCh4dU8pk0HFEc6atXWZ38-jjfzQPbCv_JzM5JdLdxJnrIekzkeFlieL5_wUEGWAu68JIDCWT3LYJTK0/s1600/IMG_2266.JPG"><img style="margin: 0px auto 10px; display: block; text-align: center; cursor: pointer; width: 320px; height: 240px;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgqAyTYpiHRi8d5cHWs_3q9JajAhLQFmf7aucBp3yDf0b4kkujYzpIRFsGrTrTMCh4dU8pk0HFEc6atXWZ38-jjfzQPbCv_JzM5JdLdxJnrIekzkeFlieL5_wUEGWAu68JIDCWT3LYJTK0/s320/IMG_2266.JPG" alt="" id="BLOGGER_PHOTO_ID_5482066154800859234" border="0" /></a><span style="font-weight: bold;">Tomamos unas tijeras y recortamos el rectángulo marcado con los dedos:
<br />
<br /></span><a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjTKVPlTF51fu3zSeS2id_OZ0TQ_iXLUokHBWkn7mNCyS4IuLin123iKXCeCapGd71TwGblSzz145XEKxyjo9ALplhhVLnlEKVa3gAIVAQFmu2H0GI9EuP-PewWjNF17zv-P-UTMUPrvCY/s1600/IMG_2267.JPG"><img style="margin: 0px auto 10px; display: block; text-align: center; cursor: pointer; width: 320px; height: 240px;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjTKVPlTF51fu3zSeS2id_OZ0TQ_iXLUokHBWkn7mNCyS4IuLin123iKXCeCapGd71TwGblSzz145XEKxyjo9ALplhhVLnlEKVa3gAIVAQFmu2H0GI9EuP-PewWjNF17zv-P-UTMUPrvCY/s320/IMG_2267.JPG" alt="" id="BLOGGER_PHOTO_ID_5482066541716359346" border="0" /></a>
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<br />
<br /><span style="font-weight: bold;">dividimos el ancho de nuestro rectángulo en cuatro partes iguales,
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