8-simplex honeycomb

8-simplex honeycomb
(No image)
Type	Uniform 8-honeycomb
Family	Simplectic honeycomb
Schläfli symbol	{3[9]} = 0[9]
Coxeter diagram
6-face types	{37} , t1{37} t2{37} , t3{37}
6-face types	{36} , t1{36} t2{36} , t3{36}
6-face types	{35} , t1{35} t2{35}
5-face types	{34} , t1{34} t2{34}
4-face types	{33} , t1{33}
Cell types	{3,3} , t1{3,3}
Face types	{3}
Vertex figure	t0,7{37}
Symmetry	${\displaystyle {\tilde {A}}_{8}}$×2, [[3[9]]]
Properties	vertex-transitive

In eighth-dimensional Euclidean geometry, the 8-simplex honeycomb is a space-filling tessellation (or honeycomb). The tessellation fills space by 8-simplex, rectified 8-simplex, birectified 8-simplex, and trirectified 8-simplex facets. These facet types occur in proportions of 1:1:1:1 respectively in the whole honeycomb.