the 8-simplex honeycomb is a space-filling tessellation (or honeycomb). The tessellation fills space by 8-simplex, rectified 8-simplex, birectified 8-simplex...

geometry, the omnitruncated 8-simplex honeycomb is a space-filling tessellation (or honeycomb). It is composed entirely of omnitruncated 8-simplex facets. The...

composed of omnitruncated simplex facets. The vertex figure for each is an irregular n-simplex. The facets of an omnitruncated simplicial honeycomb are called...

omnitruncated 5-simplex honeycomb, and therefore the Voronoi cell of this lattice is an omnitruncated 5-simplex. ∪ ∪ ∪ ∪ ∪ = dual of This honeycomb is...

vertices of the 8-simplex. Like all uniform omnitruncated n-simplices, the omnitruncated 8-simplex can tessellate space by itself, in this case 8-dimensional...

to the dual honeycomb of the omnitruncated 7-simplex honeycomb, and therefore the Voronoi cell of this lattice is an omnitruncated 7-simplex. ∪ ∪ ∪ ∪ ∪...

8-space: 8-cubic honeycomb 8-demicubic honeycomb 8-simplex honeycomb Omnitruncated 8-simplex honeycomb 521 honeycomb 251 honeycomb 152 honeycomb * Weisstein...

Euclidean geometry, the omnitruncated 5-simplex honeycomb or omnitruncated hexateric honeycomb is a space-filling tessellation (or honeycomb). It is composed...

prismatodispentachoric tetracomb The omnitruncated 4-simplex honeycomb or omnitruncated 5-cell honeycomb is a space-filling tessellation honeycomb. It can also be seen...

of the dual to the omnitruncated 6-simplex honeycomb, and therefore the Voronoi cell of this lattice is the omnitruncated 6-simplex. ∪ ∪ ∪ ∪ ∪ ∪ = dual...

forms Uniform 6-simplex honeycomb: {3[7]} Uniform Cyclotruncated 6-simplex honeycomb: t0,1{3[7]} Uniform Omnitruncated 6-simplex honeycomb: t0,1,2,3,4,5...

to the dual honeycomb of the omnitruncated 7-simplex honeycomb, and therefore the Voronoi cell of this lattice is an omnitruncated 7-simplex. ∪ ∪ ∪ ∪ ∪...

and the six vertices of the 5-simplex. The omnitruncated 5-simplex honeycomb is constructed by omnitruncated 5-simplex facets with 3 facets around each...

16-cell honeycomb 5-cell honeycomb Omnitruncated 5-cell honeycomb Truncated 5-cell honeycomb Omnitruncated 5-simplex honeycomb regular 5-polytope 5-dimensional...

In geometry, the simplicial honeycomb (or n-simplex honeycomb) is a dimensional infinite series of honeycombs, based on the A ~ n {\displaystyle {\tilde...

origin and the seven vertices of the 6-simplex. Like all uniform omnitruncated n-simplices, the omnitruncated 6-simplex can tessellate space by itself, in...

all reflective mirrors active. The omnitruncated 7-simplex is the permutohedron of order 8. The omnitruncated 7-simplex is a zonotope, the Minkowski sum...

and uniform honeycombs in 7-space: 7-cubic honeycomb 7-demicubic honeycomb 7-simplex honeycomb Omnitruncated 7-simplex honeycomb 331 honeycomb Weisstein...

including: 7-simplex honeycomb: {3[8]} C ~ 7 {\displaystyle {\tilde {C}}_{7}} 135 uniquely ringed forms, including: Regular 7-cube honeycomb: {4,34,4} =...

Polytopes, (3rd edition, 1973), Dover edition, ISBN 0-486-61480-8 p. 296, Table II: Regular honeycombs Grünbaum, Branko; Shephard, G. C. (1987). Tilings and Patterns...

16-cell honeycomb 5-cell honeycomb Omnitruncated 5-cell honeycomb Truncated 5-cell honeycomb Omnitruncated 5-simplex honeycomb Five-dimensional space, 5-polytope...

forms a uniform honeycomb which Coxeter calls Hinton's honeycomb. Omnitruncated 5-cell Omnitruncated pentachoron Omnitruncated 4-simplex Great prismatodecachoron...

of the dual to the omnitruncated 6-simplex honeycomb, and therefore the Voronoi cell of this lattice is the omnitruncated 6-simplex. ∪ ∪ ∪ ∪ ∪ ∪ = dual...

isosceles-trapezoidal pyramid vertex figure. The omnitruncated hexagonal tiling honeycomb or omnitruncated order-6 tetrahedral honeycomb, t0,1,2,3{6,3,3}, has truncated...

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

parallel to the face diagonals of a cube; an example of the honeycomb is the bitruncated cubic honeycomb. More generally, every permutohedron and parallelohedron...

rings. 31 are shown below: all one and two ringed forms, and the final omnitruncated form. Bowers-style acronym names are given in parentheses for cross-referencing...

Truncated 5-simplex honeycomb Omnitruncated 5-simplex honeycomb C ~ 5 {\displaystyle {\tilde {C}}_{5}} There are 35 uniform honeycombs, including: Regular...

hexagonal tiling honeycomb is the same as the runcitruncated order-6 cubic honeycomb. The omnitruncated order-4 hexagonal tiling honeycomb, t0,1,2,3{6,3...

cyclotruncated simplicial honeycomb (or cyclotruncated n-simplex honeycomb) is a dimensional infinite series of honeycombs, based on the symmetry of the...