tag:blogger.com,1999:blog-3216906400003321302024-02-18T19:31:14.478-08:00Estructuras geodésicas Dr. Néstor Martín Gulias. Catedrático de dibujo técnicohttp://www.blogger.com/profile/09024965679180931595noreply@blogger.comBlogger5125tag:blogger.com,1999:blog-321690640000332130.post-25710592818290445412010-07-04T03:48:00.005-07:002015-10-15T04:02:51.251-07:00<div>
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj-NFtZ-JrfYGmzZ6Ix55l5JF4BDjVfg77a4nlwVdZ3aZU5anw8YOfUdpc3lr78Ge78PGPL673HPxLhg324itIS4rKkipolVaASPt3T8MUsSNMoRHqZAg21V3s5R43ndeE_FCHBy1pAEVMr/s1600/20--esfera+geod%25C3%25A9sica+dodeca%25C3%25A9drica+frecuencia+10064.jpg" style="color: #cc0000; text-decoration: none;"><img alt="" border="0" id="BLOGGER_PHOTO_ID_5562328930917905250" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj-NFtZ-JrfYGmzZ6Ix55l5JF4BDjVfg77a4nlwVdZ3aZU5anw8YOfUdpc3lr78Ge78PGPL673HPxLhg324itIS4rKkipolVaASPt3T8MUsSNMoRHqZAg21V3s5R43ndeE_FCHBy1pAEVMr/s320/20--esfera+geod%25C3%25A9sica+dodeca%25C3%25A9drica+frecuencia+10064.jpg" style="-webkit-box-shadow: rgba(0, 0, 0, 0.0976563) 1px 1px 5px; border: 1px solid rgb(238, 238, 238); box-shadow: rgba(0, 0, 0, 0.0976563) 1px 1px 5px; cursor: pointer; float: left; height: 240px; margin: 0px 10px 10px 0px; padding: 5px; position: relative; width: 320px;" /></a><strong>Las esferas geodésicas </strong>son superficies poliédricas adecuadas a esferas. Se pueden construir partiendo de un poliedro regular en el que se triangulan sus caras. Cada nueva triangulación del nuevo vértice que obtenemos, debe estar inscrito en la esfera, generando la superficie más homogénea posible, aunque esto a veces no sea posible teniendo que producir superficies cuyos triángulos no siempre son todos equiláteros.<br />
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En la figura observamos cómo se puede transformar <strong>un <a href="http://poliedrosarquimedianos.blogspot.com/" style="color: #cc0000; text-decoration: none;">poliedro arquimediano</a> (icosaedro truncado) en una esfera geodésica</strong>, esto es, en una estructura construida con caras triangulares casi equiláteras, de manera que todos los vértices de los triángulos de la esfera equidistan del centro de la misma. Sobre cada una de las caras de la figura se construye una pirámide cuya base es la misma cara. Para saber cuál es su altura debemos pasar por el punto medio de la cara una recta que pase también por el centro de la esfera que inscribe el poliedro. Esta recta cortará a la esfera en la que está inscrito el poliedro en un punto y este es el vértice superior de la pirámide. A continuación unimos este vértice con cada uno de los vértices de la base que son los vértices del polígono regular (caras del poliedro arquimediano). De esta forma tenemos que todos los puntos de la esfera geodésica equidistan del centro y todas sus caras son triángulos casi equiláteros.<br />
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<b style="background-color: white; color: #666666; font-family: 'Trebuchet MS', Trebuchet, Verdana, sans-serif; font-size: 13.2px; line-height: 18.48px;">Esferas geodésicas:</b><br style="background-color: white; color: #666666; font-family: 'Trebuchet MS', Trebuchet, Verdana, sans-serif; font-size: 13.2px; line-height: 18.48px;" /><b style="background-color: white; color: #666666; font-family: 'Trebuchet MS', Trebuchet, Verdana, sans-serif; font-size: 13.2px; line-height: 18.48px;"><br /></b><span style="background-color: white; color: #666666; font-family: 'Trebuchet MS', Trebuchet, Verdana, sans-serif; font-size: 13.2px; line-height: 18.48px;"></span><br />
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Esfera geodésica hexaédrica de frecuencia 1</div>
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<br style="background-color: white; color: #666666; font-family: 'Trebuchet MS', Trebuchet, Verdana, sans-serif; font-size: 13.2px; line-height: 18.48px;" /><span style="background-color: white; color: #666666; font-family: 'Trebuchet MS', Trebuchet, Verdana, sans-serif; font-size: 13.2px; line-height: 18.48px;">Esfera geodésica hexaédrica de frecuencia 2</span><br style="background-color: white; color: #666666; font-family: 'Trebuchet MS', Trebuchet, Verdana, sans-serif; font-size: 13.2px; line-height: 18.48px;" /><a href="http://youtu.be/L9txE6QS_oM" style="background: rgb(255, 255, 255); border: 0px; color: #167ac6; cursor: pointer; font-family: arial, sans-serif; font-size: 11px; line-height: 14.3px; margin: 0px; padding: 0px; text-decoration: none;" target="_blank">http://youtu.be/L9txE6QS_oM</a><br style="background-color: white; color: #666666; font-family: 'Trebuchet MS', Trebuchet, Verdana, sans-serif; font-size: 13.2px; line-height: 18.48px;" /><br style="background-color: white; color: #666666; font-family: 'Trebuchet MS', Trebuchet, Verdana, sans-serif; font-size: 13.2px; line-height: 18.48px;" /><span style="background-color: white; color: #666666; font-family: 'Trebuchet MS', Trebuchet, Verdana, sans-serif; font-size: 13.2px; line-height: 18.48px;">Esfera geodésica octaédrica de frecuencia 2</span><br style="background-color: white; color: #666666; font-family: 'Trebuchet MS', Trebuchet, Verdana, sans-serif; font-size: 13.2px; line-height: 18.48px;" /><a href="http://youtu.be/j1-IH6nDJ9E" style="background: rgb(255, 255, 255); border: 0px; color: #167ac6; cursor: pointer; font-family: arial, sans-serif; font-size: 11px; line-height: 14.3px; margin: 0px; padding: 0px; text-decoration: none;" target="_blank">http://youtu.be/j1-IH6nDJ9E</a><br style="background-color: white; color: #666666; font-family: 'Trebuchet MS', Trebuchet, Verdana, sans-serif; font-size: 13.2px; line-height: 18.48px;" /><br style="background-color: white; color: #666666; font-family: 'Trebuchet MS', Trebuchet, Verdana, sans-serif; font-size: 13.2px; line-height: 18.48px;" /><span style="background-color: white; color: #666666; font-family: 'Trebuchet MS', Trebuchet, Verdana, sans-serif; font-size: 13.2px; line-height: 18.48px;">Esfera geodésica octaédrica de frecuencia 3</span><br style="background-color: white; color: #666666; font-family: 'Trebuchet MS', Trebuchet, Verdana, sans-serif; font-size: 13.2px; line-height: 18.48px;" /><a href="http://youtu.be/AtBK88YRGmY" style="background: rgb(255, 255, 255); border: 0px; color: #167ac6; cursor: pointer; font-family: arial, sans-serif; font-size: 11px; line-height: 14.3px; margin: 0px; padding: 0px; text-decoration: none;" target="_blank">http://youtu.be/AtBK88YRGmY</a><br style="background-color: white; color: #666666; font-family: 'Trebuchet MS', Trebuchet, Verdana, sans-serif; font-size: 13.2px; line-height: 18.48px;" /><br style="background-color: white; color: #666666; font-family: 'Trebuchet MS', Trebuchet, Verdana, sans-serif; font-size: 13.2px; line-height: 18.48px;" /><span style="background-color: white; color: #666666; font-family: 'Trebuchet MS', Trebuchet, Verdana, sans-serif; font-size: 13.2px; line-height: 18.48px;">Esfera geodésica octaédrica de frecuencia 3 con proyecciones diédricas iguales</span><br style="background-color: white; color: #666666; font-family: 'Trebuchet MS', Trebuchet, Verdana, sans-serif; font-size: 13.2px; line-height: 18.48px;" /><a href="http://youtu.be/6RC4JfP9Eqc" style="background: rgb(255, 255, 255); border: 0px; color: #167ac6; cursor: pointer; font-family: arial, sans-serif; font-size: 11px; line-height: 14.3px; margin: 0px; padding: 0px; text-decoration: none;" target="_blank">http://youtu.be/6RC4JfP9Eqc</a><br style="background-color: white; color: #666666; font-family: 'Trebuchet MS', Trebuchet, Verdana, sans-serif; font-size: 13.2px; line-height: 18.48px;" /><br style="background-color: white; color: #666666; font-family: 'Trebuchet MS', Trebuchet, Verdana, sans-serif; font-size: 13.2px; line-height: 18.48px;" /><span style="background-color: white; color: #666666; font-family: 'Trebuchet MS', Trebuchet, Verdana, sans-serif; font-size: 13.2px; line-height: 18.48px;">Esfera geodésica octaédrica de frecuencia 4.</span><br style="background-color: white; color: #666666; font-family: 'Trebuchet MS', Trebuchet, Verdana, sans-serif; font-size: 13.2px; line-height: 18.48px;" /><a href="http://youtu.be/D1ZZkYXNBys" style="background: rgb(255, 255, 255); border: 0px; color: #167ac6; cursor: pointer; font-family: arial, sans-serif; font-size: 11px; line-height: 14.3px; margin: 0px; padding: 0px; text-decoration: none;" target="_blank">http://youtu.be/D1ZZkYXNBys</a><br style="background-color: white; color: #666666; font-family: 'Trebuchet MS', Trebuchet, Verdana, sans-serif; font-size: 13.2px; line-height: 18.48px;" /><br style="background-color: white; color: #666666; font-family: 'Trebuchet MS', Trebuchet, Verdana, sans-serif; font-size: 13.2px; line-height: 18.48px;" /><span style="background-color: white; color: #666666; font-family: 'Trebuchet MS', Trebuchet, Verdana, sans-serif; font-size: 13.2px; line-height: 18.48px;">Esfera geodésica dodecaédrica de frecuencia 1</span><br style="background-color: white; color: #666666; font-family: 'Trebuchet MS', Trebuchet, Verdana, sans-serif; font-size: 13.2px; line-height: 18.48px;" /><a href="http://youtu.be/PbGG8EF6IMc" style="background: rgb(255, 255, 255); border: 0px; color: #167ac6; cursor: pointer; font-family: arial, sans-serif; font-size: 11px; line-height: 14.3px; margin: 0px; padding: 0px; text-decoration: none;" target="_blank">http://youtu.be/PbGG8EF6IMc</a><br style="background-color: white; color: #666666; font-family: 'Trebuchet MS', Trebuchet, Verdana, sans-serif; font-size: 13.2px; line-height: 18.48px;" /><br style="background-color: white; color: #666666; font-family: 'Trebuchet MS', Trebuchet, Verdana, sans-serif; font-size: 13.2px; line-height: 18.48px;" /><span style="background-color: white; color: #666666; font-family: 'Trebuchet MS', Trebuchet, Verdana, sans-serif; font-size: 13.2px; line-height: 18.48px;">Esfera geodésica dodecaédrica de frecuencia 2</span><br style="background-color: white; color: #666666; font-family: 'Trebuchet MS', Trebuchet, Verdana, sans-serif; font-size: 13.2px; line-height: 18.48px;" /><a href="http://youtu.be/hG35S3RSL3M" style="background: rgb(255, 255, 255); border: 0px; color: #167ac6; cursor: pointer; font-family: arial, sans-serif; font-size: 13px; line-height: 15.6px; margin: 0px; padding: 0px; text-decoration: none;" target="_blank">http://youtu.be/hG35S3RSL3M</a><br style="background-color: white; color: #666666; font-family: 'Trebuchet MS', Trebuchet, Verdana, sans-serif; font-size: 13.2px; line-height: 18.48px;" /><br style="background-color: white; color: #666666; font-family: 'Trebuchet MS', Trebuchet, Verdana, sans-serif; font-size: 13.2px; line-height: 18.48px;" /><span style="background-color: white; color: #666666; font-family: 'Trebuchet MS', Trebuchet, Verdana, sans-serif; font-size: 13.2px; line-height: 18.48px;">Esfera geodésica icosaédrica de frecuencia 2</span><br style="background-color: white; color: #666666; font-family: 'Trebuchet MS', Trebuchet, Verdana, sans-serif; font-size: 13.2px; line-height: 18.48px;" /><a href="http://youtu.be/8AtDgFxdHwk" style="background: rgb(255, 255, 255); border: 0px; color: #167ac6; cursor: pointer; font-family: arial, sans-serif; font-size: 11px; line-height: 14.3px; margin: 0px; padding: 0px; text-decoration: none;" target="_blank">http://youtu.be/8AtDgFxdHwk</a><br style="background-color: white; color: #666666; font-family: 'Trebuchet MS', Trebuchet, Verdana, sans-serif; font-size: 13.2px; line-height: 18.48px;" /><br style="background-color: white; color: #666666; font-family: 'Trebuchet MS', Trebuchet, Verdana, sans-serif; font-size: 13.2px; line-height: 18.48px;" /><span style="background-color: white; color: #666666; font-family: 'Trebuchet MS', Trebuchet, Verdana, sans-serif; font-size: 13.2px; line-height: 18.48px;">Esfera geodésica icosaédrica de frecuencia 3</span><br style="background-color: white; color: #666666; font-family: 'Trebuchet MS', Trebuchet, Verdana, sans-serif; font-size: 13.2px; line-height: 18.48px;" /><a href="http://youtu.be/qQNwmCCm488" style="background: rgb(255, 255, 255); border: 0px; color: #167ac6; cursor: pointer; font-family: arial, sans-serif; font-size: 11px; line-height: 14.3px; margin: 0px; padding: 0px; text-decoration: none;" target="_blank">http://youtu.be/qQNwmCCm488</a><br style="background-color: white; color: #666666; font-family: 'Trebuchet MS', Trebuchet, Verdana, sans-serif; font-size: 13.2px; line-height: 18.48px;" /><br style="background-color: white; color: #666666; font-family: 'Trebuchet MS', Trebuchet, Verdana, sans-serif; font-size: 13.2px; line-height: 18.48px;" /><span style="background-color: white; color: #666666; font-family: 'Trebuchet MS', Trebuchet, Verdana, sans-serif; font-size: 13.2px; line-height: 18.48px; text-indent: -15px;">Esfera geodésica icosaédrica de frecuencia 4</span><br style="background-color: white; color: #666666; font-family: 'Trebuchet MS', Trebuchet, Verdana, sans-serif; font-size: 13.2px; line-height: 18.48px;" /><span style="background-color: white; color: #333333; font-family: arial, sans-serif; font-size: 13.3333px; line-height: 14.4444px;"> </span><a href="http://youtu.be/EWmKh2wpIdc" style="background: rgb(255, 255, 255); border: 0px; color: #167ac6; cursor: pointer; font-family: arial, sans-serif; font-size: 13.3333px; line-height: 14.4444px; margin: 0px; padding: 0px; text-decoration: none;" target="_blank">http://youtu.be/EWmKh2wpIdc</a><br style="background-color: white; color: #666666; font-family: 'Trebuchet MS', Trebuchet, Verdana, sans-serif; font-size: 13.2px; line-height: 18.48px;" /><br />
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Geodésicas en <a href="http://sistema-diedrico.blogspot.com.es/">sistema diédrico</a></div>
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEitTUvaEbpHpCFKDYzTPflltisiwZlnbQ9wi1ZpIxESyv1bTit_bzrs8V3EctZ9tILSfrJf3Wz292kAZmWIennJQAL39qnLM3-fjGdrIk_3X7Bl13eGrZrN1bKJ3RwmFDqbACBwnKn_Th8/s1600/es3.bmp"><img alt="" border="0" id="BLOGGER_PHOTO_ID_5490002293443028738" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEitTUvaEbpHpCFKDYzTPflltisiwZlnbQ9wi1ZpIxESyv1bTit_bzrs8V3EctZ9tILSfrJf3Wz292kAZmWIennJQAL39qnLM3-fjGdrIk_3X7Bl13eGrZrN1bKJ3RwmFDqbACBwnKn_Th8/s320/es3.bmp" style="cursor: hand; cursor: pointer; float: left; height: 202px; margin: 0 10px 10px 0; width: 320px;" /></a><br />
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEguCDgEC6UXmbKJDccOv4WXJL3MbYB_HQOf0R3PCvMrYnXfbhsadLKqpBEeOQsLx8zvDl05AdqWAh4YSGWLuyqseApjubSO9Nlx4apO1kRcYfEINCJLh2iXIPZvz7nHM-RPR1-Nv3ZVeoI/s1600/e1.bmp"><img alt="" border="0" id="BLOGGER_PHOTO_ID_5490002282136254562" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEguCDgEC6UXmbKJDccOv4WXJL3MbYB_HQOf0R3PCvMrYnXfbhsadLKqpBEeOQsLx8zvDl05AdqWAh4YSGWLuyqseApjubSO9Nlx4apO1kRcYfEINCJLh2iXIPZvz7nHM-RPR1-Nv3ZVeoI/s320/e1.bmp" style="cursor: hand; cursor: pointer; float: left; height: 202px; margin: 0 10px 10px 0; width: 320px;" /></a> Dr. Néstor Martín Gulias. Catedrático de dibujo técnicohttp://www.blogger.com/profile/09024965679180931595noreply@blogger.com0tag:blogger.com,1999:blog-321690640000332130.post-22880500507622125382010-07-04T03:39:00.000-07:002010-07-04T03:48:36.897-07:00<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgBjqb_y_oUdcOnt5n8M89lduAZbK4bObJbmEuGCpIV1dOUUGGbPaWNI4VfJrQWLTGpy9k7q1YKzRiDYWBidYxdYRs5E4riwHtMNoum28UEElryMvxVfhe9aNg41hPaTbN3o-CNXD9-JaE/s1600/esf44.bmp"><img style="float:left; margin:0 10px 10px 0;cursor:pointer; cursor:hand;width: 320px; height: 202px;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgBjqb_y_oUdcOnt5n8M89lduAZbK4bObJbmEuGCpIV1dOUUGGbPaWNI4VfJrQWLTGpy9k7q1YKzRiDYWBidYxdYRs5E4riwHtMNoum28UEElryMvxVfhe9aNg41hPaTbN3o-CNXD9-JaE/s320/esf44.bmp" border="0" alt=""id="BLOGGER_PHOTO_ID_5490000713903076738" /></a><br /><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjvy2evs4rSv7mFxqKyB5QJMK8TrCHZHnwiwu46CIlDPnOg9WKZmIo6MuQZxo-kSu7BFgExporGwm9wo2TdRfzFBNduoc58ZldwDot5ffcSNzR358jPqrIWWwcXtOxCJSihN6RIFJB8haM/s1600/esf+6.bmp"><img style="float:left; margin:0 10px 10px 0;cursor:pointer; cursor:hand;width: 320px; height: 202px;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjvy2evs4rSv7mFxqKyB5QJMK8TrCHZHnwiwu46CIlDPnOg9WKZmIo6MuQZxo-kSu7BFgExporGwm9wo2TdRfzFBNduoc58ZldwDot5ffcSNzR358jPqrIWWwcXtOxCJSihN6RIFJB8haM/s320/esf+6.bmp" border="0" alt=""id="BLOGGER_PHOTO_ID_5490000706856384178" /></a><br /><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgkxHuAhFYYUtskTw0drA-MWvySiagBoc1VUwfToleURQm05yFfV4El2V34FwHUarY3y24lzcO7JBJ09IPsId2IZj_uwkBLuYdyjfuF1CCHthSuYa_mPM1gm7EvPN_IcWrCocW1E1p4xUo/s1600/esf+66.bmp"><img style="float:left; margin:0 10px 10px 0;cursor:pointer; cursor:hand;width: 320px; height: 202px;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgkxHuAhFYYUtskTw0drA-MWvySiagBoc1VUwfToleURQm05yFfV4El2V34FwHUarY3y24lzcO7JBJ09IPsId2IZj_uwkBLuYdyjfuF1CCHthSuYa_mPM1gm7EvPN_IcWrCocW1E1p4xUo/s320/esf+66.bmp" border="0" alt=""id="BLOGGER_PHOTO_ID_5490000701189555970" /></a><br /><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjKv6bAsOr41mvzLo_FRuSjBdTxrnrV8H_s3sti-yHCAIGEHmIjDQ_RvBrLRjbWLMedVFFO_k5JeK4IK3ULIMAFCQ1eA5Pmpf2-POytdd6Jy5v_S4iAGh23Eh2cNQ51NVUmKdA5-jXRuM0/s1600/esf+4434.bmp"><img style="float:left; margin:0 10px 10px 0;cursor:pointer; cursor:hand;width: 320px; height: 202px;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjKv6bAsOr41mvzLo_FRuSjBdTxrnrV8H_s3sti-yHCAIGEHmIjDQ_RvBrLRjbWLMedVFFO_k5JeK4IK3ULIMAFCQ1eA5Pmpf2-POytdd6Jy5v_S4iAGh23Eh2cNQ51NVUmKdA5-jXRuM0/s320/esf+4434.bmp" border="0" alt=""id="BLOGGER_PHOTO_ID_5490000696319313202" /></a><br /><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEihHmhZpqBGVdyDEkzpd3FYha7BXIq-CSBI8BOt8nSXgfgzCaFcDOAcPyY8y0uISuUms3qVm73_he7QTaygwlLEEXoCgFIJqbxAPwWg8GiCS5RiWQ7VLWBz5mDkcgJpH9toekc0OEyH9Cs/s1600/esf+5555.bmp"><img style="float:left; margin:0 10px 10px 0;cursor:pointer; cursor:hand;width: 320px; height: 202px;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEihHmhZpqBGVdyDEkzpd3FYha7BXIq-CSBI8BOt8nSXgfgzCaFcDOAcPyY8y0uISuUms3qVm73_he7QTaygwlLEEXoCgFIJqbxAPwWg8GiCS5RiWQ7VLWBz5mDkcgJpH9toekc0OEyH9Cs/s320/esf+5555.bmp" border="0" alt=""id="BLOGGER_PHOTO_ID_5490000679057190626" /></a> Dr. Néstor Martín Gulias. Catedrático de dibujo técnicohttp://www.blogger.com/profile/09024965679180931595noreply@blogger.com0tag:blogger.com,1999:blog-321690640000332130.post-89984218420938098632010-07-04T03:38:00.001-07:002010-07-04T03:38:35.070-07:00<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiCPeW9y3jwgqh9sGZl4Q3LxNBXn0AJYIVe-byZXRICU_84ZJuQu2NiviG2jGlGyIb_nOk-1bfmxVgM_E12m1lRs7NlJsOSSa2LMQdyx3Qq7uVaZayoX4Rg1_TqvzJB4ys0V2DTvtKw4mA/s1600/esfera+geod%C3%A9sica+cubocta%C3%A9drica+frecuencia+10060.jpg"><img style="float:left; margin:0 10px 10px 0;cursor:pointer; cursor:hand;width: 320px; height: 240px;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiCPeW9y3jwgqh9sGZl4Q3LxNBXn0AJYIVe-byZXRICU_84ZJuQu2NiviG2jGlGyIb_nOk-1bfmxVgM_E12m1lRs7NlJsOSSa2LMQdyx3Qq7uVaZayoX4Rg1_TqvzJB4ys0V2DTvtKw4mA/s320/esfera+geod%C3%A9sica+cubocta%C3%A9drica+frecuencia+10060.jpg" border="0" alt=""id="BLOGGER_PHOTO_ID_5489998611079208402" /></a><br /><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgH3lmqLLh5kViOIRDdzlMU6X1t6F3fbG2oW683zWK5TvVz3VFlsvg1r9IABnUdi-x0T3RSb202GW3u6CDWMKIii3P3EdMGvL-95vadb91qo-8x8kNPMkU4-WGFQQw-ja7fNGQhSKLJPZ8/s1600/esfera+geod%C3%A9sica+dodeca%C3%A9drica+frecuencia+10064.jpg"><img style="float:left; margin:0 10px 10px 0;cursor:pointer; cursor:hand;width: 320px; height: 240px;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgH3lmqLLh5kViOIRDdzlMU6X1t6F3fbG2oW683zWK5TvVz3VFlsvg1r9IABnUdi-x0T3RSb202GW3u6CDWMKIii3P3EdMGvL-95vadb91qo-8x8kNPMkU4-WGFQQw-ja7fNGQhSKLJPZ8/s320/esfera+geod%C3%A9sica+dodeca%C3%A9drica+frecuencia+10064.jpg" border="0" alt=""id="BLOGGER_PHOTO_ID_5489998606652797170" /></a> Dr. Néstor Martín Gulias. Catedrático de dibujo técnicohttp://www.blogger.com/profile/09024965679180931595noreply@blogger.com0tag:blogger.com,1999:blog-321690640000332130.post-90101721013300936312010-07-04T03:36:00.000-07:002010-07-04T03:37:57.213-07:00<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjIu3Cz_zTq3vt_v-Q2mDoFcjK5yv_r9PvnNLv3CgWkgC1MSnhE1l6nWIjbIReyBsB57olWzbjRniKP628dgyceYAQEUOGCBeVa9IbrjTPZXtacsCXecgXp3x2o8982fDiPf8QtAvTlGiI/s1600/esfera+geod%C3%A9sica+dodeca%C3%A9drica+frecuencia+20063.jpg"><img style="float:left; margin:0 10px 10px 0;cursor:pointer; cursor:hand;width: 320px; height: 240px;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjIu3Cz_zTq3vt_v-Q2mDoFcjK5yv_r9PvnNLv3CgWkgC1MSnhE1l6nWIjbIReyBsB57olWzbjRniKP628dgyceYAQEUOGCBeVa9IbrjTPZXtacsCXecgXp3x2o8982fDiPf8QtAvTlGiI/s320/esfera+geod%C3%A9sica+dodeca%C3%A9drica+frecuencia+20063.jpg" border="0" alt=""id="BLOGGER_PHOTO_ID_5489998228692762210" /></a><br /><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjlXbENrkgKllbV5W_FguxCd6dubnezHoyy1Cuvi2a-LxeXAvZhcto_RDcAZAdEXBh6jTFyVXuGyx2YLg6He7RoBGi5RLIoWlHKLIq0v75KkP-t5jNaoUMqLXmr1-HorDROmDc3gexhqUo/s1600/esfera+geodesica+hexa%C3%A9drica+frecuencia+10063.jpg"><img style="float:left; margin:0 10px 10px 0;cursor:pointer; cursor:hand;width: 320px; height: 240px;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjlXbENrkgKllbV5W_FguxCd6dubnezHoyy1Cuvi2a-LxeXAvZhcto_RDcAZAdEXBh6jTFyVXuGyx2YLg6He7RoBGi5RLIoWlHKLIq0v75KkP-t5jNaoUMqLXmr1-HorDROmDc3gexhqUo/s320/esfera+geodesica+hexa%C3%A9drica+frecuencia+10063.jpg" border="0" alt=""id="BLOGGER_PHOTO_ID_5489998227543777298" /></a><br /><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiAKvT-2Q1yGFdkCTP7q8UbakZSGR068J1VkkP88LAujTwt1Ql5IaO2nUjyxmVef56Vwx9gv092I7Ys15fVPi_Hy60QtnZkBki2CFQamEm-T-R9T68YXHoQvH45Sr9SSF9fYRhnp0XQAAg/s1600/esfera+geod%C3%A9sica+hexa%C3%A9drica+frecuencia+20058.jpg"><img style="float:left; margin:0 10px 10px 0;cursor:pointer; cursor:hand;width: 320px; height: 240px;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiAKvT-2Q1yGFdkCTP7q8UbakZSGR068J1VkkP88LAujTwt1Ql5IaO2nUjyxmVef56Vwx9gv092I7Ys15fVPi_Hy60QtnZkBki2CFQamEm-T-R9T68YXHoQvH45Sr9SSF9fYRhnp0XQAAg/s320/esfera+geod%C3%A9sica+hexa%C3%A9drica+frecuencia+20058.jpg" border="0" alt=""id="BLOGGER_PHOTO_ID_5489998221983963586" /></a><br /><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgS5xjSHh0GrOCERRlnDvQKLi_aEm8zemKO6Vtnx-A3d6DWKYv8SNobIDAeibg5HqyPnn3LwuV4g6MaZWyQbdWtr1rynWduI1IpGCjlGoCne1QxAUvPYmMEa9FgNYi28i6rMHjRECvvEp4/s1600/esfera+geod%C3%A9sica+icosa%C3%A9drica+frecuencia+20062.jpg"><img style="float:left; margin:0 10px 10px 0;cursor:pointer; cursor:hand;width: 320px; height: 240px;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgS5xjSHh0GrOCERRlnDvQKLi_aEm8zemKO6Vtnx-A3d6DWKYv8SNobIDAeibg5HqyPnn3LwuV4g6MaZWyQbdWtr1rynWduI1IpGCjlGoCne1QxAUvPYmMEa9FgNYi28i6rMHjRECvvEp4/s320/esfera+geod%C3%A9sica+icosa%C3%A9drica+frecuencia+20062.jpg" border="0" alt=""id="BLOGGER_PHOTO_ID_5489998218724389506" /></a><br /><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjnvfFao1xQ_TcskLQXtq0NFEC8W89mNo0s6bk-tLf70U_gPDKSm6wSZoD_y3xwrKtAOq8VJKjTWKdOBDthMeF4zxJcfVnVIf6p_UZGblv_HRhSpMLuqKsuKB0b4gWxBH6qxLmY9F0T8zY/s1600/esfera+geod%C3%A9sica+icosa%C3%A9drica+frecuencia+40063.jpg"><img style="float:left; margin:0 10px 10px 0;cursor:pointer; cursor:hand;width: 320px; height: 240px;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjnvfFao1xQ_TcskLQXtq0NFEC8W89mNo0s6bk-tLf70U_gPDKSm6wSZoD_y3xwrKtAOq8VJKjTWKdOBDthMeF4zxJcfVnVIf6p_UZGblv_HRhSpMLuqKsuKB0b4gWxBH6qxLmY9F0T8zY/s320/esfera+geod%C3%A9sica+icosa%C3%A9drica+frecuencia+40063.jpg" border="0" alt=""id="BLOGGER_PHOTO_ID_5489998206947805810" /></a> Dr. Néstor Martín Gulias. Catedrático de dibujo técnicohttp://www.blogger.com/profile/09024965679180931595noreply@blogger.com0tag:blogger.com,1999:blog-321690640000332130.post-12505809902207576912010-07-04T03:33:00.000-07:002010-07-04T03:36:08.713-07:00<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi7WB3HNDhSiHzffiK5gvMJCJdlu-PoUFpCY44lSdoqUzN7NjcVg0XwlYtaYP-tFvn0218lkIDAlk2pWJSaF5Tp6b1ra1_UK9x0wKHKqoTc_RYlrFX_u-sDEMyudmOjaX1SxsG7fwR6w7s/s1600/esfera+geod%C3%A9sica+octa%C3%A9drica+frecuencia+20060.jpg"><img style="float:left; margin:0 10px 10px 0;cursor:pointer; cursor:hand;width: 320px; height: 240px;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi7WB3HNDhSiHzffiK5gvMJCJdlu-PoUFpCY44lSdoqUzN7NjcVg0XwlYtaYP-tFvn0218lkIDAlk2pWJSaF5Tp6b1ra1_UK9x0wKHKqoTc_RYlrFX_u-sDEMyudmOjaX1SxsG7fwR6w7s/s320/esfera+geod%C3%A9sica+octa%C3%A9drica+frecuencia+20060.jpg" border="0" alt=""id="BLOGGER_PHOTO_ID_5489997824887125074" /></a><br /><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj6hRmmEI70kNkDMRi9iWCsgAtssLtIv6R1Zt_I9lyxgmGhrZtlVgR5JiIPdNK8-AoM8OS6hcRMud5Hub0l8zhGgor5_ZE9aIyUYqTY1GfYwDiPzoBcCtesFpzCzEUFiNTL7x5De4CdXY8/s1600/esfera+geod%C3%A9sica+snub-cubocta%C3%A9drica+frecuencia+20062.jpg"><img style="float:left; margin:0 10px 10px 0;cursor:pointer; cursor:hand;width: 320px; height: 240px;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj6hRmmEI70kNkDMRi9iWCsgAtssLtIv6R1Zt_I9lyxgmGhrZtlVgR5JiIPdNK8-AoM8OS6hcRMud5Hub0l8zhGgor5_ZE9aIyUYqTY1GfYwDiPzoBcCtesFpzCzEUFiNTL7x5De4CdXY8/s320/esfera+geod%C3%A9sica+snub-cubocta%C3%A9drica+frecuencia+20062.jpg" border="0" alt=""id="BLOGGER_PHOTO_ID_5489997823499036946" /></a><br /><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEirRvbsDzfaaPuxuOYNmC93CqUl4zt-vyLYQYS5mF77KOIy-6wi_ehstZ75p3fMe3RQeXASiKiCNWulbq4Alr7M3s99JiTr0x91pXGtGAM3iFOEdsFUmfSn7Spu7-XnQnS5pd1kV6CgDfk/s1600/esfera+geod%C3%A9sica+tetra%C3%A9drica+frecuencia+30060.jpg"><img style="float:left; margin:0 10px 10px 0;cursor:pointer; cursor:hand;width: 320px; height: 240px;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEirRvbsDzfaaPuxuOYNmC93CqUl4zt-vyLYQYS5mF77KOIy-6wi_ehstZ75p3fMe3RQeXASiKiCNWulbq4Alr7M3s99JiTr0x91pXGtGAM3iFOEdsFUmfSn7Spu7-XnQnS5pd1kV6CgDfk/s320/esfera+geod%C3%A9sica+tetra%C3%A9drica+frecuencia+30060.jpg" border="0" alt=""id="BLOGGER_PHOTO_ID_5489997811517604146" /></a><br /><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi292jtshU0UxMNs_fvwTi1EiNmrmJYxojouek5DFUHY3st7jott1A1_Y_30r34p17B0B87ogfmRpuinjfkf6kK3vc0KpSf_YkF02E2gPJd_w5_z5tqg7PBcWoREthyphenhyphene-XgqyI-8psLbgg/s1600/esfera+geod%C3%A9sica+tetra%C3%A9drica+frecuencia+60062.jpg"><img style="float:left; margin:0 10px 10px 0;cursor:pointer; cursor:hand;width: 320px; height: 240px;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi292jtshU0UxMNs_fvwTi1EiNmrmJYxojouek5DFUHY3st7jott1A1_Y_30r34p17B0B87ogfmRpuinjfkf6kK3vc0KpSf_YkF02E2gPJd_w5_z5tqg7PBcWoREthyphenhyphene-XgqyI-8psLbgg/s320/esfera+geod%C3%A9sica+tetra%C3%A9drica+frecuencia+60062.jpg" border="0" alt=""id="BLOGGER_PHOTO_ID_5489997809001209490" /></a><br /><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhD7lRGMj2LIDXreSuwOAKMBC9ZPcKFp7wIE6-jBGgoISzqP8CMYeRFOodY2RbQ68N2X2IYR75mfrHMcvaFMcEwCSu4jiYXCrcXXL1GyfzjmJGFu6Q9BSahmAm9L0etZl4_3yCzD0UnJyA/s1600/esfera+geod%C3%A9sica+tronco-tetra%C3%A9drica+frecuencia+20064.jpg"><img style="float:left; margin:0 10px 10px 0;cursor:pointer; cursor:hand;width: 320px; height: 240px;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhD7lRGMj2LIDXreSuwOAKMBC9ZPcKFp7wIE6-jBGgoISzqP8CMYeRFOodY2RbQ68N2X2IYR75mfrHMcvaFMcEwCSu4jiYXCrcXXL1GyfzjmJGFu6Q9BSahmAm9L0etZl4_3yCzD0UnJyA/s320/esfera+geod%C3%A9sica+tronco-tetra%C3%A9drica+frecuencia+20064.jpg" border="0" alt=""id="BLOGGER_PHOTO_ID_5489997805005279586" /></a> Dr. Néstor Martín Gulias. Catedrático de dibujo técnicohttp://www.blogger.com/profile/09024965679180931595noreply@blogger.com0