Hexagonal-square tegmantitegmoid
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| Hexagonal-square tegmantitegmoid | |
|---|---|
| Rank | 4 |
| Type | Isotopic |
| Notation | |
| Coxeter diagram | m4p2p12o (      ) |
| Elements | |
| Cells | 48 monotruncated kite pyramids |
| Faces | 48 scalene triangles, 24 isosceles triangles, 48 kites, 24 mirror-symmetric pentagons |
| Edges | 8+12+24+48+48 |
| Vertices | 4+4+12+24 |
| Vertex figure | 24 notches, 12 digonal scalenohedra, 4 hexagonal tegums, 4 hexagonal antitegums |
| Measures (edge length 1) | |
| Central density | 1 |
| Related polytopes | |
| Dual | Hexagonal-square prismantiprismoid |
| Abstract & topological properties | |
| Euler characteristic | 0 |
| Orientable | Yes |
| Properties | |
| Symmetry | (B2×I2(12))/2, order 96 |
| Convex | Yes |
| Nature | Tame |
The hexagonal-square tegmantitegmoid is a convex isochoric polychoron and member of the tegmantitegmoid family with 48 monotruncated kite pyramids as cells.
Each cell of this polychoron has mirror symmetry, with 1 mirror-symmetric pentagon, 2 kites, 1 isosceles triangle, and 2 scalene triangles for faces.