Floret pentagonal antitegmatic honeycomb
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| Floret pentagonal antitegmatic honeycomb | |
|---|---|
| Rank | 4 |
| Type | Isotopic |
| Space | Euclidean |
| Notation | |
| Coxeter diagram | p∞o2p6p3p |
| Elements | |
| Cells | 12N mirror-symmetric triangular-pentagonal orthobigyronotches |
| Faces | 6N+6N isosceles trapezoids, 6N+6N+6N kites, 3N rectangular-symmetric hexagons |
| Edges | N+2N+12N+12N+12N |
| Vertices | N+2N+3N+12N |
| Vertex figure | N hexagonal gyrotegums, 2N triangular gyrotegums, 3N rhombic disphenoids, 12N irregular tetrahedra |
| Related polytopes | |
| Dual | Snub trihexagonal antiprismatic honeycomb |
| Abstract & topological properties | |
| Orientable | Yes |
| Properties | |
| Symmetry | V3❘W2+ |
| Convex | Yes |
| Nature | Tame |
The floret pentagonal antitegmatic honeycomb is an isochoric honeycomb with identical mirror-symmetric triangular-pentagonal orthobigyronotch cells. It can be obtained as the dual of the snub trihexagonal antiprismatic honeycomb.
Each cell of this honeycomb has mirror symmetry, with 8 tetragons and 1 hexagon for faces.