{"id":9786,"date":"2024-07-27T19:39:33","date_gmt":"2024-07-27T18:39:33","guid":{"rendered":"https:\/\/www2.ual.es\/neotrie\/?p=9786"},"modified":"2026-05-27T11:48:09","modified_gmt":"2026-05-27T10:48:09","slug":"torre-de-comares-en-la-alhambra","status":"publish","type":"post","link":"https:\/\/www2.ual.es\/neotrie\/torre-de-comares-en-la-alhambra\/","title":{"rendered":"Torre de Comares en la Alhambra"},"content":{"rendered":"\n<p class=\"wp-block-paragraph\">En esta entrada, explicamos c\u00f3mo se construye el techo de la Torre de Comares a partir de un 14-gono regular en Neotrie, tal y como se explica en (Rodr\u00edguez, Mart\u00ednez, Alonso, 2024). La Torre de Comares alberga el conocido Sal\u00f3n del trono o de los embajadores, que est\u00e1 reconstruido con 4 fotos, escaladas a tama\u00f1o real. All\u00ed dentro se podr\u00e1n Australia tambi\u00e9n algunos arcos de las alcobas del sal\u00f3n.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Para comenzar la actividad propuesta, se pide a los alumnos que construyan un tetradec\u00e1gono regular en Neotrie. Para ello, tienen que calcular primero el \u00e1ngulo entre dos aristas adyacentes del tetradec\u00e1gono regular, que es 180 - 360\/14 \u2243 154,2857, y hacer el tetradec\u00e1gono completo con la herramienta correspondiente. A continuaci\u00f3n, se deben desvincular las dependencias de los puntos verdes y hacer una copia para obtener el tetradec\u00e1gono regular.<\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"576\" src=\"https:\/\/www2.ual.es\/neotrie\/wp-content\/uploads\/2024\/07\/angle2-1024x576.png\" alt=\"\" class=\"wp-image-9805\" srcset=\"https:\/\/www2.ual.es\/neotrie\/wp-content\/uploads\/2024\/07\/angle2-980x551.png 980w, https:\/\/www2.ual.es\/neotrie\/wp-content\/uploads\/2024\/07\/angle2-480x270.png 480w\" sizes=\"(min-width: 0px) and (max-width: 480px) 480px, (min-width: 481px) and (max-width: 980px) 980px, (min-width: 981px) 1024px, 100vw\" \/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">El siguiente paso es utilizar dos mitades del 14-gono para formar el eje de la c\u00fapula, gir\u00e1ndolas, creando puntos medios en el segmento superior y uni\u00e9ndolas adecuadamente.<\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"576\" src=\"https:\/\/www2.ual.es\/neotrie\/wp-content\/uploads\/2024\/07\/comares2-1024x576.png\" alt=\"\" class=\"wp-image-9803\" srcset=\"https:\/\/www2.ual.es\/neotrie\/wp-content\/uploads\/2024\/07\/comares2-980x551.png 980w, https:\/\/www2.ual.es\/neotrie\/wp-content\/uploads\/2024\/07\/comares2-480x270.png 480w\" sizes=\"(min-width: 0px) and (max-width: 480px) 480px, (min-width: 481px) and (max-width: 980px) 980px, (min-width: 981px) 1024px, 100vw\" \/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">A continuaci\u00f3n, mediante la intersecci\u00f3n de paralelas, se obtienen las aristas de la c\u00fapula. <\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"576\" src=\"https:\/\/www2.ual.es\/neotrie\/wp-content\/uploads\/2024\/07\/comares3-1024x576.png\" alt=\"\" class=\"wp-image-9804\" srcset=\"https:\/\/www2.ual.es\/neotrie\/wp-content\/uploads\/2024\/07\/comares3-980x551.png 980w, https:\/\/www2.ual.es\/neotrie\/wp-content\/uploads\/2024\/07\/comares3-480x270.png 480w\" sizes=\"(min-width: 0px) and (max-width: 480px) 480px, (min-width: 481px) and (max-width: 980px) 980px, (min-width: 981px) 1024px, 100vw\" \/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">Por \u00faltimo, se completan las caras para obtener un peque\u00f1o modelo de la c\u00fapula.<\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"576\" src=\"https:\/\/www2.ual.es\/neotrie\/wp-content\/uploads\/2024\/07\/comares4-1024x576.png\" alt=\"\" class=\"wp-image-9806\" srcset=\"https:\/\/www2.ual.es\/neotrie\/wp-content\/uploads\/2024\/07\/comares4-980x551.png 980w, https:\/\/www2.ual.es\/neotrie\/wp-content\/uploads\/2024\/07\/comares4-480x270.png 480w\" sizes=\"(min-width: 0px) and (max-width: 480px) 480px, (min-width: 481px) and (max-width: 980px) 980px, (min-width: 981px) 1024px, 100vw\" \/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">A continuaci\u00f3n, los alumnos pueden obtener una copia a escala real de la c\u00fapula. Para ello, primero tienen que encontrar el tama\u00f1o real de la base cuadrada de la torre (11 metros) y medir la longitud de la base de la peque\u00f1a c\u00fapula (44,9 cm), luego obtener el cambio de escala como 1100\/44,9 \u2243 24,5, hacer la copia a escala y colocarla en lo alto de la torre. Adem\u00e1s, pueden comprobar con la cinta m\u00e9trica que la altura de la torre es aproximadamente d18 metros.<\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"576\" src=\"https:\/\/www2.ual.es\/neotrie\/wp-content\/uploads\/2024\/07\/comares-dome-1024x576.png\" alt=\"\" class=\"wp-image-9802\" srcset=\"https:\/\/www2.ual.es\/neotrie\/wp-content\/uploads\/2024\/07\/comares-dome-980x551.png 980w, https:\/\/www2.ual.es\/neotrie\/wp-content\/uploads\/2024\/07\/comares-dome-480x270.png 480w\" sizes=\"(min-width: 0px) and (max-width: 480px) 480px, (min-width: 481px) and (max-width: 980px) 980px, (min-width: 981px) 1024px, 100vw\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"576\" src=\"https:\/\/www2.ual.es\/neotrie\/wp-content\/uploads\/2024\/07\/comares-dome-scaled-1-1024x576.png\" alt=\"\" class=\"wp-image-9799\" srcset=\"https:\/\/www2.ual.es\/neotrie\/wp-content\/uploads\/2024\/07\/comares-dome-scaled-1-980x551.png 980w, https:\/\/www2.ual.es\/neotrie\/wp-content\/uploads\/2024\/07\/comares-dome-scaled-1-480x270.png 480w\" sizes=\"(min-width: 0px) and (max-width: 480px) 480px, (min-width: 481px) and (max-width: 980px) 980px, (min-width: 981px) 1024px, 100vw\" \/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">En el interior de la torre, en el Sal\u00f3n del Trono, los puntos de dos rect\u00e1ngulos interactivos se pueden mover para encontrar las proporciones de dos nichos de tama\u00f1o real. Tambi\u00e9n se pueden ajustar arcos semicirculares que pasan por 3 puntos y localizar el centro, construyendo y cortando las mediatrices correspondientes.<\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"576\" src=\"https:\/\/www2.ual.es\/neotrie\/wp-content\/uploads\/2024\/07\/comares-archs-1024x576.png\" alt=\"\" class=\"wp-image-9809\" srcset=\"https:\/\/www2.ual.es\/neotrie\/wp-content\/uploads\/2024\/07\/comares-archs-980x551.png 980w, https:\/\/www2.ual.es\/neotrie\/wp-content\/uploads\/2024\/07\/comares-archs-480x270.png 480w\" sizes=\"(min-width: 0px) and (max-width: 480px) 480px, (min-width: 481px) and (max-width: 980px) 980px, (min-width: 981px) 1024px, 100vw\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"576\" src=\"https:\/\/www2.ual.es\/neotrie\/wp-content\/uploads\/2024\/07\/comares-proportions-1024x576.png\" alt=\"\" class=\"wp-image-9787\" srcset=\"https:\/\/www2.ual.es\/neotrie\/wp-content\/uploads\/2024\/07\/comares-proportions-980x551.png 980w, https:\/\/www2.ual.es\/neotrie\/wp-content\/uploads\/2024\/07\/comares-proportions-480x270.png 480w\" sizes=\"(min-width: 0px) and (max-width: 480px) 480px, (min-width: 481px) and (max-width: 980px) 980px, (min-width: 981px) 1024px, 100vw\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-video\"><video height=\"720\" style=\"aspect-ratio: 720 \/ 720;\" width=\"720\" controls src=\"https:\/\/www2.ual.es\/neotrie\/wp-content\/uploads\/2024\/07\/comares-video.mp4\"><\/video><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\">Referencia:<\/h2>\n\n\n\n<ul class=\"wp-block-list\">\n<li>JL Rodr\u00edguez, \u00c1 Mart\u00ednez-Sevilla, S Alonso (2024): 3D models and Virtual Reality to explain the mathematics of andalusian monumental heritage, Electronic Journal of Mathematics &amp; Technology 18 (2), 98-112. (enlace a <a href=\"https:\/\/ejmt.mathandtech.org\/Contents.html#v18n2\" title=\"\">revista<\/a>, <a href=\"https:\/\/ejmt.mathandtech.org\/Contents\/eJMT_v18n2p2.pdf\">PDF<\/a>) <\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">En este trabajo abordamos la construcci\u00f3n de escenarios de realidad virtual para el software NeoTrie VR, con el fin de hacer manejables en cualquier lugar algunos modelos 3D de objetos arquitect\u00f3nicos. Los alumnos podr\u00e1n ver las piezas (moc\u00e1rabes, b\u00f3vedas y arcos y torres) en un modelo 3D, manipularlas y ensamblarlas, para comprender su disposici\u00f3n espacial. Tambi\u00e9n podr\u00e1n utilizar las herramientas de Neotrie para construir y as\u00ed asimilar mejor las estructuras geom\u00e9tricas subyacentes.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Acceso al proyecto <a href=\"https:\/\/www2.ual.es\/neotrie\/project\/paseo-matematico-al-andalus\" title=\"\">Paseo Matem\u00e1tico Al-\u00c1ndalus<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>En esta entrada explicamos c\u00f3mo se construye el techo de la Torre de Comares a partir de un 14-gono regular.<\/p>\n","protected":false},"author":3,"featured_media":9799,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"om_disable_all_campaigns":false,"_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"footnotes":""},"categories":[48,218,11],"tags":[198,84,53,205],"class_list":["post-9786","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-diseno-3d","category-divulgacion","category-secundaria","tag-arcos","tag-arte","tag-poliedros","tag-poligonos"],"aioseo_notices":[],"aioseo_head":"\n\t\t<!-- All in One SEO 4.9.8 - aioseo.com -->\n\t<meta name=\"description\" content=\"En esta entrada explicamos c\u00f3mo se construye el techo de la Torre de Comares a partir de un 14-gono regular.\" \/>\n\t<meta name=\"robots\" content=\"max-image-preview:large\" \/>\n\t<meta name=\"author\" content=\"Jos\u00e9 Luis Rodr\u00edguez\"\/>\n\t<meta name=\"google-site-verification\" content=\"google-site-verification=yECM5sD2Ii3xsSoDBArqBmNdlDrmXh-FAAOQ40keSr4\" \/>\n\t<link rel=\"canonical\" href=\"https:\/\/www2.ual.es\/neotrie\/torre-de-comares-en-la-alhambra\/\" \/>\n\t<meta name=\"generator\" content=\"All in One SEO (AIOSEO) 4.9.8\" \/>\n\t\t<meta property=\"og:locale\" content=\"es_ES\" \/>\n\t\t<meta property=\"og:site_name\" content=\"Neotrie VR - NeoTrie VR es un software de realidad virtual y mixta, multijugador, que permite al usuario crear, manipular e interactuar con objetos geom\u00e9tricos y modelos 3D en general.\" \/>\n\t\t<meta property=\"og:type\" content=\"article\" \/>\n\t\t<meta property=\"og:title\" content=\"Torre de Comares en la Alhambra \ufeff \ufeff\ufeff-\ufeff\ufeff\ufeff\ufeff\ufeff\ufeff\ufeff \ufeff\ufeffNeotrie VR\" \/>\n\t\t<meta property=\"og:description\" content=\"En esta entrada explicamos c\u00f3mo se construye el techo de la Torre de 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