problem in mathematics Find the complete set of hyperbolic uniform honeycombs. More unsolved problems in mathematics In hyperbolic geometry, a uniform honeycomb...

In geometry, uniform honeycombs in hyperbolic space are tessellations of convex uniform polyhedron cells. In 3-dimensional hyperbolic space there are...

In geometry, the icosahedral honeycomb is one of four compact, regular, space-filling tessellations (or honeycombs) in hyperbolic 3-space. With Schläfli...

In hyperbolic geometry, the order-4 dodecahedral honeycomb is one of four compact regular space-filling tessellations (or honeycombs) of hyperbolic 3-space...

compact honeycombs in 3D hyperbolic space: There are fifteen uniform honeycombs in the [5,3,4] Coxeter group family, including the order-5 cubic honeycomb as...

In hyperbolic geometry, the order-5 dodecahedral honeycomb is one of four compact regular space-filling tessellations (or honeycombs) in hyperbolic 3-space...

total 28 uniform honeycombs. The regular cubic honeycomb, represented by Schläfli symbol {4,3,4}, offers seven unique derived uniform honeycombs via truncation...

dodecahedral honeycomb Weaire–Phelan structure Convex uniform honeycombs in hyperbolic space Order-4 dodecahedral honeycomb Order-5 cubic honeycomb Order-5...

paracompact regular hyperbolic honeycombs and many compact and paracompact uniform hyperbolic honeycombs have been enumerated. For every honeycomb there is a dual...

polyhedra of 4-space Convex uniform honeycomb - related infinite 4-polytopes in Euclidean 3-space. Convex uniform honeycombs in hyperbolic space - related...

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...

of the convex uniform honeycombs in hyperbolic space. The skew apeirohedron shares the same antiprism vertex figure with the honeycomb, but only the zig-zag...

Two are honeycombs on the 3-sphere, one a honeycomb in Euclidean 3-space, and two are honeycombs in hyperbolic 3-space. uniform polyhedron uniform 4-polytope...

In the field of hyperbolic geometry, the hexagonal tiling honeycomb is one of 11 regular paracompact honeycombs in 3-dimensional hyperbolic space. It...

and honeycombs with {p,3,5} Schläfli symbol, and icosahedral vertex figures. In the geometry of hyperbolic 3-space, the order-3-5 octagonal honeycomb a...

other). A uniform honeycomb in hyperbolic space is a uniform tessellation of uniform polyhedral cells. In three-dimensional (3-D) hyperbolic space there are...

each generating uniform honeycombs in 6-space as permutations of rings of the Coxeter diagrams. The reflective 7-dimensional uniform polytopes are constructed...

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 the geometry of hyperbolic 3-space, the order-3-6 heptagonal honeycomb a regular space-filling tessellation (or honeycomb). Each infinite cell consists...

octahedral-hexagonal tiling honeycomb, has a higher symmetry construction as the order-4 hexagonal tiling. Uniform honeycombs in hyperbolic space List of regular...

including: Hyperbolic uniform honeycombs, 3D honeycombs: Alternated order-5 cubic honeycomb, ↔ (Also quasiregular polytope) Tetrahedral-octahedral honeycomb,...

In the geometry of hyperbolic 3-space, the order-4 icosahedral honeycomb is a regular space-filling tessellation (or honeycomb) with Schläfli symbol {3...

{C}}_{5}} There are 35 uniform honeycombs, including: Regular hypercube honeycomb of Euclidean 5-space, the 5-cube honeycomb, with symbols {4,33,4},...

planar tilings Uniform 4-polytope Convex uniform honeycomb Convex uniform honeycombs in hyperbolic space Wythoff construction and Wythoff symbol Hall, Brian...

polychora and honeycombs {p,6,p}: In the geometry of hyperbolic 3-space, the order-6-5 pentagonal honeycomb (or 5,6,5 honeycomb) a regular space-filling tessellation...

honeycombs with {p,6,3} Schläfli symbol, and dodecahedral vertex figures: In the geometry of hyperbolic 3-space, the order-6-3 pentagonal honeycomb or...

In the geometry of hyperbolic 3-space, the order-4-5 square honeycomb is a regular space-filling tessellation (or honeycomb) with Schläfli symbol {4,4...

regular star honeycombs of hyperbolic 4-space: {5/2,5,3,3}, {3,3,5,5/2}, {3,5,5/2,5}, and {5,5/2,5,3}. There are seven convex regular honeycombs and four...

In the geometry of hyperbolic 3-space, the square tiling honeycomb is one of 11 paracompact regular honeycombs. It is called paracompact because it has...

In the field of hyperbolic geometry, the order-5 hexagonal tiling honeycomb arises as one of 11 regular paracompact honeycombs in 3-dimensional hyperbolic...