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In hyperbolic geometry, the order-5 cubic honeycomb is one of four compact regular space-filling tessellations (or honeycombs) in hyperbolic 3-space. With Schläfli symbol {4,3,5}, it has five cubes {4,3} around each edge, and 20 cubes around each vertex. It is dual with the order-4 dodecahedral honeycomb. A geometric honeycomb is a space-filling of polyhedral or higher-dimensional cells, so that there are no gaps. It is an example of the more general mathematical tiling or tessellation in any number of dimensions.

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  • Ordo-5 kuba kahelaro (eo)
  • Order-5 cubic honeycomb (en)
rdfs:comment
  • En geometrio, la ordo-5 kuba kahelaro estas unu el kvar kahelaroj de hiperbola 3-spaco. En ĉi tiu kahelaro, kvin kuboj ekzisti sur ĉiu rando, kaj 20 kuboj ĉirkaŭ ĉiu vertico. Ĝi estas duala kun la ordo-4 dekduedra kahelaro. La kahelaro estas simila al la (ordo-4) kuba kahelaro de eŭklida 3-spaco kiu havas 4 kubojn ĉirkaŭ latero, kaj al la 4-hiperkubo kiu havas 3 kubojn ĉirkaŭ latero. (eo)
  • In hyperbolic geometry, the order-5 cubic honeycomb is one of four compact regular space-filling tessellations (or honeycombs) in hyperbolic 3-space. With Schläfli symbol {4,3,5}, it has five cubes {4,3} around each edge, and 20 cubes around each vertex. It is dual with the order-4 dodecahedral honeycomb. A geometric honeycomb is a space-filling of polyhedral or higher-dimensional cells, so that there are no gaps. It is an example of the more general mathematical tiling or tessellation in any number of dimensions. (en)
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