uniform honeycomb in spherical space. It is also seen as a rectified order-4 square tiling honeycomb, r{4,4,4}: The square tiling honeycomb has three...
26 KB (898 words) - 16:48, 3 August 2024
order-4-5 square honeycomb is a regular space-filling tessellation (or honeycomb) with Schläfli symbol {4,4,5}. It has five square tiling {4,4} around...
8 KB (431 words) - 21:29, 20 August 2024
geometry of hyperbolic 3-space, the order-4 square tiling honeycomb is one of 11 paracompact regular honeycombs. It is paracompact because it has infinite...
20 KB (845 words) - 16:57, 3 August 2024
edge, and infinite octahedra around each vertex in a square tiling vertex figure. A geometric honeycomb is a space-filling of polyhedral or higher-dimensional...
14 KB (615 words) - 16:57, 3 August 2024
List of mathematical shapes (section Honeycombs)
Order-3 icosahedral honeycomb Order-4 octahedral honeycomb Triangular tiling honeycomb Square tiling honeycomb Order-4 square tiling honeycomb Order-6 tetrahedral...
47 KB (3,580 words) - 17:01, 29 June 2024
the form {4,3,...,3,4}, starting with the square tiling, {4,4} in the plane. It is one of 28 uniform honeycombs using convex uniform polyhedral cells. Simple...
66 KB (3,191 words) - 16:48, 3 August 2024
hyperbolic 3-space, the cubic-square tiling honeycomb is a paracompact uniform honeycomb, constructed from cube and square tiling cells, in a rhombicuboctahedron...
3 KB (317 words) - 03:59, 24 July 2024
the tetrahedral-square tiling honeycomb is a paracompact uniform honeycomb, constructed from tetrahedron, cuboctahedron and square tiling cells, in a rhombicuboctahedron...
4 KB (281 words) - 03:59, 24 July 2024
field of hyperbolic geometry, the hexagonal tiling honeycomb is one of 11 regular paracompact honeycombs in 3-dimensional hyperbolic space. It is paracompact...
21 KB (843 words) - 16:48, 3 August 2024
tiling or tessellation in any number of dimensions. Its dimension can be clarified as n-honeycomb for a honeycomb of n-dimensional space. Honeycombs are...
14 KB (1,321 words) - 01:30, 13 July 2024