Augmented isosceles trapezoidal pyramidal honeycomb
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| Augmented isosceles trapezoidal pyramidal honeycomb | |
|---|---|
| Rank | 4 |
| Type | Isotopic |
| Space | Euclidean |
| Notation | |
| Coxeter diagram | m4p3p4o |
| Elements | |
| Cells | 12N monoaugmented isosceles trapezoidal pyramids |
| Faces | 6N+6N isosceles triangles, 24N scalene triangles, 6N isosceles trapezoids |
| Edges | 3N+3N+8N+12N+12N |
| Vertices | N+N+6N |
| Vertex figure | N tetragonal icositetrahedra, N pyritohedra, 6N notches |
| Related polytopes | |
| Dual | Cantic snub cubic honeycomb |
| Abstract & topological properties | |
| Orientable | Yes |
| Properties | |
| Symmetry | R4/2 |
| Convex | Yes |
| Nature | Tame |
The augmented isosceles trapezoidal pyramidal honeycomb is an isochoric honeycomb with monoaugmented isosceles trapezoidal pyramid cells. It can be obtained as the dual of the cantic snub cubic honeycomb.