In geometry, a hypercubic honeycomb is a family of regular honeycombs (tessellations) in n-dimensional spaces with the Schläfli symbols {4,3...3,4} and...

quarter hypercubic honeycomb (or quarter n-cubic honeycomb) is a dimensional infinite series of honeycombs, based on the hypercube honeycomb. It is given...

alternated hypercube honeycomb (or demicubic honeycomb) is a dimensional infinite series of honeycombs, based on the hypercube honeycomb with an alternation...

infinite family of uniform honeycombs called alternated hypercubic honeycombs, formed as an alternation of a hypercubic honeycomb and being composed of demihypercube...

inverse-skew factors and uses a stretched hypercubic honeycomb. The stretched hypercubic honeycomb becomes a simplicial honeycomb after subdivision. This means that...

Hypercubic honeycomb Alternated hypercubic honeycomb Quarter hypercubic honeycomb Truncated simplicial honeycomb Omnitruncated simplicial honeycomb George...

this honeycomb can be positioned in 4-space in all integer coordinates (i,j,k,l). Like all regular hypercubic honeycombs, the tesseractic honeycomb corresponds...

tessellations include: Regular 9-hypercubic honeycomb, with symbols {4,37,4}, Uniform alternated 9-hypercubic honeycomb with symbols h{4,37,4}, There are...

allowed Euclidean honeycombs as facets of higher-dimensional Euclidean honeycombs, giving the following additional figures: Hypercubic honeycomb prism, named...

arrangement: Hypercubic honeycomb Alternated hypercubic honeycomb Quarter hypercubic honeycomb Simplectic honeycomb Omnitruncated simplicial honeycomb George...

Tesseractic honeycomb 5-cube honeycomb 6-cube honeycomb 7-cube honeycomb 8-cube honeycomb Hypercubic honeycomb honeycombs Order-5 5-cell honeycomb 120-cell...

Uniform 2k1 polytope Uniform k21 polytope Honeycombs Hypercubic honeycomb Alternated hypercubic honeycomb Rectification (geometry) Truncation (geometry)...

arrangement: Hypercubic honeycomb Alternated hypercubic honeycomb Quarter hypercubic honeycomb Simplectic honeycomb Truncated simplicial honeycomb George Olshevsky...

sharing vertices and faces with another hypercubic honeycomb. This compound can have any number of hypercubic honeycombs. There are also dual-regular tiling...

Archimedean honeycombs are all cell-transitive and have been described by Inchbald. Honeycombs can also be self-dual. All n-dimensional hypercubic honeycombs with...

The 5-demicube honeycomb (or demipenteractic honeycomb) is a uniform space-filling tessellation (or honeycomb) in Euclidean 5-space. It is constructed...

sharing vertices and faces with another hypercubic honeycomb. This compound can have any number of hypercubic honeycombs. The Coxeter notation is δn[dδn]δn...

3,3}. Every hypercubic honeycomb, in any number of dimensions. These include the apeirogon {∞}, square tiling {4,4} and cubic honeycomb {4,3,4}. Numerous...

uniform honeycombs in 5-space: 5-cube honeycomb 5-demicube honeycomb 5-simplex honeycomb Truncated 5-simplex honeycomb Omnitruncated 5-simplex honeycomb Coxeter...

3,4,3,3}, {3,4,3,3,4}, and {4,3,3,4,3} The hypercubic honeycomb is the only family of regular honeycombs that can tessellate each dimension, five or...

an A* n lattice, which is essentially the vertex arrangement of a hypercubic honeycomb that has been squashed along its main diagonal until the distance...

uniform honeycombs in 5-space: 6-cube honeycomb 6-demicube honeycomb 6-simplex honeycomb Truncated 6-simplex honeycomb Omnitruncated 6-simplex honeycomb Coxeter...

quarter cubic honeycomb, quarter cubic cellulation or bitruncated alternated cubic honeycomb is a space-filling tessellation (or honeycomb) in Euclidean...

Euclidean geometry, the rectified tesseractic honeycomb is a uniform space-filling tessellation (or honeycomb) in Euclidean 4-space. It is constructed by...

uniform honeycombs in 7-space: 7-cube honeycomb 7-demicube honeycomb 7-simplex honeycomb Truncated 7-simplex honeycomb Omnitruncated 7-simplex honeycomb Coxeter...

uniform honeycombs in 8-space: 8-cube honeycomb 8-demicube honeycomb 8-simplex honeycomb Truncated 8-simplex honeycomb Omnitruncated 8-simplex honeycomb Coxeter...

24-cell honeycomb {3,4,3,3} is the 16-cell honeycomb {3,3,4,3}. The third regular tessellation of four dimensional space is the tesseractic honeycomb {4,3...

Euclidean honeycombs are: Apeirogon: {∞} Square tiling: {4,4} Cubic honeycomb: {4,3,4} In general, all regular n-dimensional Euclidean hypercubic honeycombs: {4...

4] ... Hypercubic honeycomb D ~ n {\displaystyle {\tilde {D}}_{n}} Q n + 1 {\displaystyle Q_{n+1}} [ 31,1,3n−4,31,1] ... Demihypercubic honeycomb E ~ 6...

regular n-dimensional hypercubic honeycombs - {4,3,...,3,4}. These may be treated as infinite polytopes. Hyperbolic tilings and honeycombs (tilings {p,p} with...