Antiwedge intersected tetradecahedral pentacosiheptacontahexachoron
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| Antiwedge intersected tetradecahedral pentacosiheptacontahexachoron | |
|---|---|
| Rank | 4 |
| Type | Isotopic |
| Elements | |
| Cells | 576 14-vertex tetradecahedra |
| Faces | 576+576+576 scalene triangles, 288+288+288 kites, 576 irregular tetragons, 576 irregular hexagons, 288 mirror-symmetric decagons |
| Edges | 192+192+576+576+576+576+576+576+576+576+576 |
| Vertices | 48+144+192+288+288+576+576 |
| Vertex figure | 48 tetartoids, 192 chiral triangular antitegums, 288 tetragonal antiwedges, 576 skew kite pyramids, 144 rhombic disphenoids, 288 phyllic disphenoids, 576 irregular tetrahedra |
| Measures (edge length 1) | |
| Central density | 1 |
| Related polytopes | |
| Dual | Antiwedged omnisnub bitetrahedral tetracontoctachoron |
| Abstract & topological properties | |
| Flag count | 69120 |
| Euler characteristic | 0 |
| Orientable | Yes |
| Properties | |
| Symmetry | A3●B3, order 576 |
| Convex | Yes |
| Nature | Tame |
The antiwedge intersected tetradecahedral pentacosiheptacontahexachoron is a convex isochoric polychoron with 576 identical cells. It can be obtained as the dual of the antiwedged omnisnub bitetrahedral tetracontoctachoron.
Each cell of this polychoron is completely asymmetric, with 1 decagon, 2 hexagons, 5 tetragons, and 6 triangles for faces.