Triangular double gyroantitegmoid
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| Triangular double gyroantitegmoid | |
|---|---|
| Rank | 4 |
| Type | Isotopic |
| Elements | |
| Cells | 36 order-8 truncated digonal-octagonal gyronotches |
| Faces | 72+72 kites, 36 mirror-symmetric pentagons, 18 tetrambi |
| Edges | 12+72+72+144 |
| Vertices | 12+18+36+72 |
| Vertex figure | 72 sphenoids, 36 rhombic disphenoids, 18 tetragonal disphenoids, 12 triangular antitegums |
| Measures (edge length 1) | |
| Central density | 1 |
| Related polytopes | |
| Dual | Triangular double gyroantiprismoid |
| Abstract & topological properties | |
| Euler characteristic | 0 |
| Orientable | Yes |
| Properties | |
| Symmetry | (G2≀S2)/2, order 144 |
| Convex | Yes |
| Nature | Tame |
The triangular double gyroantitegmoid is a convex isochoric polychoron and member of the double gyroantitegmoid family with 36 order-8 truncated digonal-octagonal gyronotches as cells. It is the second in an infinite family of isochoric triangular tegmatic swirlchora.
Each cell of this polychoron has rectangular pyramidal symmetry, with 1 tetrambus, 2 mirror-symmetric pentagons, and 8 kites for faces.