Quarter 8-cubic honeycomb
# Quarter 8-cubic honeycomb

quarter 8-cubic honeycomb :

| (No image) ||
| - | - |
| Type | Uniform 8-honeycomb |
| Family | Quarter hypercubic honeycomb |
| Schläfli symbol | q{4,3,3,3,3,3,3,4} |
| Coxeter diagram | = |
| 7-face type | $h{4,3^6},$ $h_6{4,3^6},$ ${3,3}×{3^{2,1,1}}$ duoprism ${3^{1,1,1}}×{3^{1,1,1}}$ duoprism |
| Vertex figure | |
| Coxeter group | ${\tilde {D}}_{8}$×2 = $[[3^{1,1},3,3,3,3,3^{1,1}]]$ |
| Dual | |
| Properties | vertex-transitive |

In seven-dimensional Euclidean geometry, the quarter 8-cubic honeycomb is a uniform space-filling tessellation (or honeycomb). It has half the vertices of the 8-demicubic honeycomb, and a quarter of the vertices of a 8-cube honeycomb. Its facets are 8-demicubes $h{4,3^6},$ pentic 8-cubes $h_6{4,3^6},$ ${3,3}×{3^{2,1,1}}$ and ${3^{1,1,1}}×{3^{1,1,1}}$ duoprisms.

