5-cell honeycomb
In four-dimensional Euclidean geometry, the 4-simplex honeycomb, 5-cell honeycomb or pentachoric-dispentachoric honeycomb is a space-filling tessellation honeycomb. It is composed of 5-cells and rectified 5-cells facets in a ratio of 1:1.
| 4-simplex honeycomb | |
|---|---|
| (No image) | |
| Type | Uniform 4-honeycomb |
| Family | Simplectic honeycomb |
| Schläfli symbol | {3[5]} |
| Coxeter diagram | |
| 4-face types | {3,3,3} t1{3,3,3} |
| Cell types | {3,3} t1{3,3} |
| Face types | {3} |
| Vertex figure | t0,3{3,3,3} |
| Symmetry | ×2, {3[5]} |
| Properties | vertex-transitive |
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