In geometry, uniform honeycombs in hyperbolic space are tessellations of convex uniform polyhedron cells. In 3-dimensional hyperbolic space there are 23 Coxeter group families of paracompact uniform honeycombs, generated as Wythoff constructions, and represented by ring permutations of the Coxeter diagrams for each family. These families can produce uniform honeycombs with infinite or unbounded facets or vertex figure, including ideal vertices at infinity, similar to the hyperbolic uniform tilings in 2-dimensions.
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3-dimensional hyperbolic space there are 23 Coxeter group families of paracompactuniformhoneycombs, generated as Wythoff constructions, and represented by ring...
hyperbolic uniformhoneycombs. (more unsolved problems in mathematics) In hyperbolic geometry, a uniformhoneycomb in hyperbolic space is a uniform tessellation...
total 28 uniformhoneycombs. The regular cubic honeycomb, represented by Schläfli symbol {4,3,4}, offers seven unique derived uniformhoneycombs via truncation...
In geometry, a uniformhoneycomb or uniform tessellation or infinite uniform polytope, is a vertex-transitive honeycomb made from uniform polytope facets...
the hexagonal tiling honeycomb is one of 11 regular paracompacthoneycombs in 3-dimensional hyperbolic space. It is paracompact because it has cells composed...
hyperbolic 3-space, the square tiling honeycomb is one of 11 paracompact regular honeycombs. It is called paracompact because it has infinite cells, whose...
tiling honeycomb is one of 11 paracompact regular space-filling tessellations (or honeycombs) in hyperbolic 3-space. It is called paracompact because...
Tetrahedron-icosahedron honeycomb, Paracompactuniformhoneycombs, 3D honeycombs, which include uniform tilings as cells: Rectified order-6 tetrahedral honeycomb, Rectified...
Convex uniformhoneycombs in hyperbolic space Regular tessellations of hyperbolic 3-space Paracompactuniformhoneycombs Semiregular honeycomb Hexagonal...
uniform polytopes to be finite, while a more expansive definition allows uniformhoneycombs (2-dimensional tilings and higher dimensional honeycombs)...
hyperbolic honeycombs. There are 15 hyperbolic honeycombs in H3, 4 compact and 11 paracompact. There are also 11 paracompact H3 honeycombs (those with...
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