{"id":35957,"date":"1998-01-01T00:00:00","date_gmt":"1998-01-01T00:00:00","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/las-geometrias-de-escher-la-representacion-de-los-grupos-de-simetria-del-plano\/"},"modified":"1998-01-01T00:00:00","modified_gmt":"1998-01-01T00:00:00","slug":"las-geometrias-de-escher-la-representacion-de-los-grupos-de-simetria-del-plano","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/ciencias-de-las-artes-y-las-letras\/las-geometrias-de-escher-la-representacion-de-los-grupos-de-simetria-del-plano\/","title":{"rendered":"Las geometrias de escher. la representacion de los grupos de simetria del plano."},"content":{"rendered":"<h2>Tesis doctoral de <strong>  Alzola Domingo M. Carmen <\/strong><\/h2>\n<p>El trabajo se ha centrado en el estudio de la representaci\u00f3n gr\u00e1fica de los 17 grupos de simetr\u00eda del plano monocolores tratado a partir de la obra gr\u00e1fica del artista holand\u00e9s mauricius cornelius escher. Se pone de manifiesto la existencia de una estructura geom\u00e9trico-gr\u00e1fico-matem\u00e1tica en las obras gr\u00e1ficas que abordan el cubrimiento regular del plano sintetizando los aspectos exclusivamente gr\u00e1ficos del concepto de grupo de simetr\u00eda y sus aplicaciones posteriores.  en los cap. 2 al 4 se sintetizan los 17 grupos de simetr\u00eda del plano m. Definidos por el prof. Fedorov en 1.885 y se estructuran de tal modo que se obtiene una expresi\u00f3n \u00fanica para todos los grupos. Para ello se han establecido nuevos conceptos tales como: m\u00f3dulo, superm\u00f3dulo, malla del dise\u00f1o, integrar un giro de 180 grados, poligonal, grupo generador de, etc.  a partir de la definici\u00f3n de las operaciones de cada grupo de simetr\u00eda se han sintetizado las caracter\u00edsticas gr\u00e1ficas de los posibles grupos generadores demostrando la existencia de una relaci\u00f3n gr\u00e1fica entre los m\u00f3dulos de dise\u00f1os del mismo grupo fundamentada en las relaciones de isometr\u00eda que se establecen entre los lados o poligonales de dichos m\u00f3dulos. A su vez se ha establecido la relaci\u00f3n existente entre los distintos grupos de simetr\u00eda definiendo en consecuencia la expresi\u00f3n \u00abgrupo generador de\u00bb.  tambi\u00e9n se han establecido posibles procesos para la deducci\u00f3n del grupo de simetr\u00eda de un dise\u00f1o o para la creaci\u00f3n de nuevos dise\u00f1os que den lugar a infinitas soluciones aplicando los resultados obtenidos en la investigaci\u00f3n.<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Las geometrias de escher. la representacion de los grupos de simetria del plano.<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Las geometrias de escher. la representacion de los grupos de simetria del plano. <\/li>\n<li><strong>Autor:<\/strong>\u00a0  Alzola Domingo M. Carmen <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Pa\u00eds vasco\/euskal herriko unibertsitatea<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 01\/01\/1998<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n<h3>Direcci\u00f3n y tribunal<\/h3>\n<ul>\n<li><strong>Director de la tesis<\/strong>\n<ul>\n<li> Sanchez Mayendia Alcantara Jos\u00e9 Cristobal<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: Francisco Ba\u00f1os Martos <\/li>\n<li> Tomas San Martin Antonio (vocal)<\/li>\n<li>Juan Cordero Ruiz (vocal)<\/li>\n<li>Antonio Gonzalez Garcia (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Alzola Domingo M. Carmen El trabajo se ha centrado en el estudio de la representaci\u00f3n gr\u00e1fica de [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""}},"footnotes":""},"categories":[147,4100,12909,1111],"tags":[95560,11049,3811,11330,95561,13089],"class_list":["post-35957","post","type-post","status-publish","format-standard","hentry","category-ciencias-de-las-artes-y-las-letras","category-dibujo-y-grabado","category-pais-vasco-euskal-herriko-unibertsitatea","category-teoria-analisis-y-critica-de-las-bellas-artes","tag-alzola-domingo-m-carmen","tag-antonio-gonzalez-garcia","tag-francisco-banos-martos","tag-juan-cordero-ruiz","tag-sanchez-mayendia-alcantara-jose-cristobal","tag-tomas-san-martin-antonio"],"_links":{"self":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts\/35957","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/comments?post=35957"}],"version-history":[{"count":0,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts\/35957\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/media?parent=35957"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/categories?post=35957"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/tags?post=35957"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}