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- Q17077848 subject Q8521444.
- Q17077848 abstract "In the geometry of hyperbolic 3-space, the tetrahedron-octahedron honeycomb is a compact uniform honeycomb, constructed from octahedron and tetrahedron cells, in a rhombicuboctahedron vertex figure.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.Honeycombs are usually constructed in ordinary Euclidean ("flat") space, like the convex uniform honeycombs. They may also be constructed in non-Euclidean spaces, such as hyperbolic uniform honeycombs. Any finite uniform polytope can be projected to its circumsphere to form a uniform honeycomb in spherical space.It represents a semiregular honeycomb as defined by all regular cells, although from the Wythoff construction, rectified tetrahedral r{3,3}, becomes the regular octahedron {3,4}.".
- Q17077848 thumbnail Uniform_polyhedron-33-t0.png?width=300.
- Q17077848 wikiPageWikiLink Q1189295.
- Q17077848 wikiPageWikiLink Q127661.
- Q17077848 wikiPageWikiLink Q129916.
- Q17077848 wikiPageWikiLink Q1347011.
- Q17077848 wikiPageWikiLink Q160003.
- Q17077848 wikiPageWikiLink Q1686501.
- Q17077848 wikiPageWikiLink Q169451.
- Q17077848 wikiPageWikiLink Q17077885.
- Q17077848 wikiPageWikiLink Q1878538.
- Q17077848 wikiPageWikiLink Q188884.
- Q17077848 wikiPageWikiLink Q19821.
- Q17077848 wikiPageWikiLink Q2534367.
- Q17077848 wikiPageWikiLink Q3895007.
- Q17077848 wikiPageWikiLink Q5166523.
- Q17077848 wikiPageWikiLink Q598843.
- Q17077848 wikiPageWikiLink Q7706516.
- Q17077848 wikiPageWikiLink Q7874246.
- Q17077848 wikiPageWikiLink Q80553.
- Q17077848 wikiPageWikiLink Q8087.
- Q17077848 wikiPageWikiLink Q847941.
- Q17077848 wikiPageWikiLink Q8521444.
- Q17077848 wikiPageWikiLink Q860923.
- Q17077848 comment "In the geometry of hyperbolic 3-space, the tetrahedron-octahedron honeycomb is a compact uniform honeycomb, constructed from octahedron and tetrahedron cells, in a rhombicuboctahedron vertex figure.A geometric honeycomb is a space-filling of polyhedral or higher-dimensional cells, so that there are no gaps.".
- Q17077848 label "Hyperbolic tetrahedral-octahedral honeycomb".
- Q17077848 depiction Uniform_polyhedron-33-t0.png.