| quarter 7-cubic honeycomb | |
|---|---|
| (No image) | |
| Type | Uniform 7-honeycomb |
| Family | Quarter hypercubic honeycomb |
| Schläfli symbol | q{4,3,3,3,3,3,4} |
| Coxeter diagram |       =  
|
| 6-face type | h{4,35},  h5{4,35},  {31,1,1}×{3,3} duoprism |
| Vertex figure | |
| Coxeter group | ×2 = [[31,1,3,3,3,31,1]] |
| Dual | |
| Properties | vertex-transitive |
In seven-dimensional Euclidean geometry, the quarter 7-cubic honeycomb is a uniform space-filling tessellation (or honeycomb). It has half the vertices of the 7-demicubic honeycomb, and a quarter of the vertices of a 7-cube honeycomb.[1] Its facets are 7-demicubes, pentellated 7-demicubes, and {31,1,1}×{3,3} duoprisms.
- ^ Coxeter, Regular and Semi-Regular Polytopes III, (1988), p318