2 51 honeycomb

251 honeycomb
(No image)
Type Uniform tessellation
Family 2k1 polytope
Schläfli symbol {3,3,35,1}
Coxeter symbol 251
Coxeter-Dynkin diagram
8-face types 241
{37}
7-face types 231
{36}
6-face types 221
{35}
5-face types 211
{34}
4-face type {33}
Cells {32}
Faces {3}
Edge figure 051
Vertex figure 151
Edge figure 051
Coxeter group , [35,2,1]

In 8-dimensional geometry, the 251 honeycomb is a space-filling uniform tessellation. It is composed of 241 polytope and 8-simplex facets arranged in an 8-demicube vertex figure. It is the final figure in the 2k1 family.