Great bimetatetracontoctachoron
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| Great bimetatetracontoctachoron | |
|---|---|
| Rank | 4 |
| Type | Isotopic |
| Elements | |
| Cells | 1152 edge-truncated tetrahedra |
| Faces | 1152 scalene triangles, 1152 kites, 576+576 mirror-symmetric pentagons |
| Edges | 192+288+576+1152+1152 |
| Vertices | 48+144+288+576 |
| Vertex figure | 48 disdyakis dodecahedra, 144 tetragonal scalenohedra, 576 notches, 288 tetragonal disphenoids |
| Measures (edge length 1) | |
| Central density | 1 |
| Related polytopes | |
| Dual | Great bicantitruncatotetracontoctachoron |
| Abstract & topological properties | |
| Euler characteristic | 0 |
| Orientable | Yes |
| Properties | |
| Symmetry | F4×2, order 2304 |
| Convex | Yes |
| Nature | Tame |
The great bimetatetracontoctachoron is a convex isochoric polychoron with 1152 monotruncated kite pyramids as cells. It can be obtained as the dual of the great bicantitruncaotetracontoctachoron.
Each cell of this polychoron has mirror symmetry, with 2 pentagons, 2 tetragons, and 2 triangles for faces.