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

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

geometry of hyperbolic 3-space, the order-7 dodecahedral honeycomb is a regular space-filling tessellation (or honeycomb). With Schläfli symbol {5,3,7}, it...

The order-6 dodecahedral honeycomb is one of 11 paracompact regular honeycombs in hyperbolic 3-space. It is paracompact because it has vertex figures composed...

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...

a (finite volume) quotient space of the (non-finite volume) order-5 dodecahedral honeycomb, a regular tessellation of hyperbolic 3-space by dodecahedra...

honeycomb Order-4 dodecahedral honeycomb Order-5 dodecahedral honeycomb Order-5 cubic honeycomb Icosahedral honeycomb Order-3 icosahedral honeycomb Order-4...

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

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

its regular dual, the order-6 dodecahedral honeycomb. The order-5 hexagonal tiling honeycomb has a related alternation honeycomb, represented by ↔ , with...

120-cell – regular 4-polytope with dodecahedral cells Order-5 dodecahedral honeycomb - regular hyperbolic honeycomb with same Schläfli type, {5,3,5}. (The...

three regular 4-polytopes: the 5-cell {3,3,3}, 16-cell {3,3,4} of Euclidean 4-space, and the order-6 tetrahedral honeycomb {3,3,6} of hyperbolic space....

parallelohedra: Cubic honeycomb (or variations: cuboid, rhombic hexahedron or parallelepiped) Hexagonal prismatic honeycomb Rhombic dodecahedral honeycomb Elongated...

related to the (order-3) 120-cell honeycomb, and order-4 120-cell honeycomb. It is analogous to the order-5 dodecahedral honeycomb and order-5 pentagonal tiling...

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

honeycombs with {p,5,3} Schläfli symbol, and dodecahedral vertex figures: In the geometry of hyperbolic 3-space, the order-5-3 pentagonal honeycomb or...

constructionally related to prismatic uniform honeycombs by truncation operations. They are higher-dimensional analogues of the order-2 apeirogonal tiling and apeirogonal...

and 12 icosahedra around each vertex, in a regular dodecahedral vertex figure. A geometric honeycomb is a space-filling of polyhedral or higher-dimensional...

{n,2} Coxeter diagram Symmetry group Dnh, [2,n], (*22n), order 4n Rotation group Dn, [2,n]+, (22n), order 2n Dual polyhedron regular n-gonal hosohedron...

structure as a hyperbolic manifold. It is a quotient space of the order-5 dodecahedral honeycomb, a regular tessellation of hyperbolic 3-space by dodecahedra...

related to the rhombic dodecahedral honeycomb with an elongation of zero. Projected normal to the elongation direction, the honeycomb looks like a square...

cross-section through xi = n is a rhombic dodecahedral honeycomb, and the cross-section through xi = n + ⁠1/2⁠ is a cubic honeycomb. As the hyperplane moves through...

120 with a dodecahedral fundamental domain. There are also 23 paracompact Coxeter groups of rank 4 that produce paracompact uniform honeycombs with infinite...

to the great 120-cell honeycomb. It can be constructed by replacing the great dodecahedral cells of the great 120-cell honeycomb with their icosahedral...

projection of the tesseract into three-dimensional space has a rhombic dodecahedral envelope. Two vertices of the tesseract are projected to the origin....

colors of cells. Convex uniform honeycombs in hyperbolic space List of regular polytopes Infinite-order dodecahedral honeycomb Coxeter, Regular Polytopes,...

is that self-dual 4-polytope {p,q,p} (and honeycombs) remain cell-transitive after bitruncation. There are 5 such forms corresponding to the five truncated...

can be used to tesselate its copies in space creating a rhombic dodecahedral honeycomb. There are some variations of the rhombic dodecahedron, one of which...

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...

cells. Twenty-eight such honeycombs are known: the familiar cubic honeycomb and 7 truncations thereof; the alternated cubic honeycomb and 4 truncations thereof;...