topologia
TRANSCRIPT
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TOPOLOGIALa Topología es el estudio de aquellas propiedades de
los cuerpos geométricos que permanecen inalteradas
por transformaciones continuas
GEOMETRIA
DE LA PAGINA
DE GOMA
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POSTULADOS En la topología dos objetos pueden ser equivalentes
en un sentido mas amplio, al tener el mismo numero
de HUECOS, TROZOS, INTERSECCIONES, ETC.
En el manejo de los objetos la topología permite
DOBLAR, ESTIRAR, ENCOGER, RETORCER, ETC.
Siempre que no se rompan o separen
No se permite la unión dos objetos separados
Un triangulo es topológicamente igual que un circulo
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ESPACIO
TOPOLOGICO
3CCONVERGENCIA
CONECTIVIDAD
CONTINUIDAD
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TEOREMA DE
LOS 4 COLORESDado cualquier mapa geográfico
con regiones continuas, éste
puede ser coloreado con cuatro
colores diferentes, de forma que no
queden regiones adyacentes (es
decir, regiones que compartan no
sólo un punto, sino todo un
segmento de borde en común) con
el mismo color.
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EJEMPLOSEJEMPLOS
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El pabellón orgánico de Zaha Hadid para el Millenium Park ya está luciendo en Chicago
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Edén Project - Nicholas Grimshaw
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ARQUITECTURA
LIQUIDA
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Planta de reciclaje – España / WMA Willy Müller Architects
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