8-cube (original) (raw)
V geometrii je okterakt osmirozměrnou analogií krychle, jde tedy o speciální variantu nadkrychle pro d=8.
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| dbo:abstract | V geometrii je okterakt osmirozměrnou analogií krychle, jde tedy o speciální variantu nadkrychle pro d=8. (cs) In geometry, an 8-cube is an eight-dimensional hypercube. It has 256 vertices, 1024 edges, 1792 square faces, 1792 cubic cells, 1120 tesseract 4-faces, 448 5-cube 5-faces, 112 6-cube 6-faces, and 16 7-cube 7-faces. It is represented by Schläfli symbol {4,36}, being composed of 3 7-cubes around each 6-face. It is called an octeract, a portmanteau of tesseract (the 4-cube) and oct for eight (dimensions) in Greek. It can also be called a regular hexdeca-8-tope or hexadecazetton, being an 8-dimensional polytope constructed from 16 regular facets. It is a part of an infinite family of polytopes, called hypercubes. The dual of an 8-cube can be called an 8-orthoplex and is a part of the infinite family of cross-polytopes. (en) En geometría de octava dimensión, octoracto es el nombre de un miembro de la familia de los hipercubos, con 256 vértices, 1024 líneas, 1792 cuadrados, 1792 cubos, 1120 hipercubos, así como 448 penteractos, 112 hexeractos, y 16 hepteractos. Su nombre es el resultado de combinar el nombre de teseracto o hipercubo con el prefijo octo- que se deriva del griego y significa ocho (en este caso ocho dimensiones). Es parte de una familia infinita de figuras n dimensionales conocida como hipercubos. * Datos: Q1117691 * Multimedia: 8-cube / Q1117691 (es) Un otteratto è una forma geometrica di 8 dimensioni spaziali che possiede 256 vertici, 1024 spigoli, 1792 facce quadrate, 1792 celle cubiche, 1120 ipercelle tesserattiche, 448 celle penterattiche (di 5 dimensioni spaziali), 112 celle eserattiche (di 6 dimensioni spaziali) e 16 celle etterattiche (di 7 dimensioni spaziali). Il nome otteratto deriva dalla fusione tra la parola tesseratto e la parola greca ὁκτώ(otto). (it) Октеракт, или 8-гиперкуб, или гексадеказеттон — восьмимерный гиперкуб, аналог куба в восьмимерном пространстве. Определяется как выпуклая оболочка 256 точек . (ru) Октера́кт — аналог куба в восьмивимірному просторі. Визначається як опукла оболонка 256 точок. (uk) |
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| dbp:title | Hypercube (en) |
| dbp:urlname | Hypercube (en) |
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| dct:subject | dbc:8-polytopes |
| gold:hypernym | dbr:Hypercube |
| rdfs:comment | V geometrii je okterakt osmirozměrnou analogií krychle, jde tedy o speciální variantu nadkrychle pro d=8. (cs) En geometría de octava dimensión, octoracto es el nombre de un miembro de la familia de los hipercubos, con 256 vértices, 1024 líneas, 1792 cuadrados, 1792 cubos, 1120 hipercubos, así como 448 penteractos, 112 hexeractos, y 16 hepteractos. Su nombre es el resultado de combinar el nombre de teseracto o hipercubo con el prefijo octo- que se deriva del griego y significa ocho (en este caso ocho dimensiones). Es parte de una familia infinita de figuras n dimensionales conocida como hipercubos. * Datos: Q1117691 * Multimedia: 8-cube / Q1117691 (es) Un otteratto è una forma geometrica di 8 dimensioni spaziali che possiede 256 vertici, 1024 spigoli, 1792 facce quadrate, 1792 celle cubiche, 1120 ipercelle tesserattiche, 448 celle penterattiche (di 5 dimensioni spaziali), 112 celle eserattiche (di 6 dimensioni spaziali) e 16 celle etterattiche (di 7 dimensioni spaziali). Il nome otteratto deriva dalla fusione tra la parola tesseratto e la parola greca ὁκτώ(otto). (it) Октеракт, или 8-гиперкуб, или гексадеказеттон — восьмимерный гиперкуб, аналог куба в восьмимерном пространстве. Определяется как выпуклая оболочка 256 точек . (ru) Октера́кт — аналог куба в восьмивимірному просторі. Визначається як опукла оболонка 256 точок. (uk) In geometry, an 8-cube is an eight-dimensional hypercube. It has 256 vertices, 1024 edges, 1792 square faces, 1792 cubic cells, 1120 tesseract 4-faces, 448 5-cube 5-faces, 112 6-cube 6-faces, and 16 7-cube 7-faces. It is represented by Schläfli symbol {4,36}, being composed of 3 7-cubes around each 6-face. It is called an octeract, a portmanteau of tesseract (the 4-cube) and oct for eight (dimensions) in Greek. It can also be called a regular hexdeca-8-tope or hexadecazetton, being an 8-dimensional polytope constructed from 16 regular facets. (en) |
| rdfs:label | Okterakt (cs) 8-cube (en) Octoracto (es) Otteratto (it) Октеракт (ru) Октеракт (uk) |
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