Mutetrahedral honeycomb
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| Mutetrahedral honeycomb | |
|---|---|
| Rank | 4 |
| Dimension | 4 |
| Type | Regular |
| Notation | |
| Schläfli symbol |
|
| Elements | |
| Cells | ∞ mutetrahedra |
| Faces | ∞ hexagons |
| Edges | ∞ |
| Vertices | ∞ |
| Edge figure | Triangle |
| Abstract & topological properties | |
| Flag count | ∞ |
| Schläfli type | {6,6,3} |
| Orientable | Yes |
| Properties | |
| Flag orbits | 1 |
| Convex | No |
| Dimension vector | (3,1,3,3) |
The mutetrahedral honeycomb is a regular skew apeirochoron in 4-dimensional Euclidean space. Three mutetrahedra meet at every edge.
Just as the mutetrahedron is the κ 1 of the tetrahedron, the mutetrahedral honeycomb is the κ 1 of the 5-cell.
Bibliography[edit | edit source]
- McMullen, Peter (2009), "Regular Apeirotopes of Dimension and Rank 4" (PDF), Discrete computational geometry, 42, doi:10.1007/s00454-009-9186-y