Great biambotetrahedral diacositetracontachoron
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| Great biambotetrahedral diacositetracontachoron | |
|---|---|
| Rank | 4 |
| Type | Isogonal |
| Notation | |
| Bowers style acronym | Gobatid |
| Elements | |
| Cells | 720 rhombic disphenoids, 1440 phyllic disphenoids, 2880 irregular tetrahedra, 240 octahedra, 480+480 triangular gyroprisms |
| Faces | 960+960 triangles, 1440 isosceles triangles, 2880+2880+2880+2880 scalene triangles |
| Edges | 1440+1440+1440+1440+1440+2880 |
| Vertices | 1440 |
| Vertex figure | 14-vertex polyhedron with 5 tetragons and 14 triangles |
| Measures (edge length 1) | |
| Central density | 1 |
| Related polytopes | |
| Army | Gobatid |
| Regiment | Gobatid |
| Dual | Tetradecahedral chiliatetracositetracontachoron |
| Abstract & topological properties | |
| Flag count | 178560 |
| Euler characteristic | 0 |
| Orientable | Yes |
| Properties | |
| Symmetry | B3●H3, order 2880 |
| Convex | Yes |
| Nature | Tame |
The great biambotetrahedral diacositetracontachoron or gobatid is a convex isogonal polychoron that consists of 240 octahedra, 960 triangular gyroprisms of two kinds, 720 rhombic disphenoids, 1440 phyllic disphenoids, and 2880 irregular tetrahedra. 1 octahedron, 4 triangular gyroprisms, 2 rhombic disphenoids, 4 phyllic disphenoids, and 8 irregular tetrahedra join at each vertex. However, it cannot be made uniform.