Cubiswirlic diacosihexacontatetrachoron
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| Cubiswirlic diacosihexacontatetrachoron | |
|---|---|
| Rank | 4 |
| Type | Isotopic |
| Elements | |
| Cells | 264 48-vertex icosihexahedra |
| Faces | 1056 isosceles triangles, 1056 rhombi, 1056 mirror-symmetric hexagons, 264 square-symmetric icosagons |
| Edges | 1056+1056+2112+2112 |
| Vertices | 1056+1056+1056 |
| Vertex figure | 1056+1056+1056 phyllic disphenoids |
| Measures (edge length 1) | |
| Central density | 1 |
| Related polytopes | |
| Dual | Tetracontatetrafold octaswirlchoron |
| Abstract & topological properties | |
| Euler characteristic | 0 |
| Orientable | Yes |
| Properties | |
| Symmetry | B3●I2(44), order 2112 |
| Convex | Yes |
| Nature | Tame |
The cubiswirlic diacosihexacontatetrachoron, also known as the cubeswirl 264, is an isochoric polychoron with 264 identical cells. It is the eleventh in an infinite family of isochoric cubic swirlchora.
Each cell of this polychoron has chiral square prismatic symmetry, with 2 square-symmetric icosagons, 8 mirror-symmetric hexagons, 8 rhombi, and 8 isosceles triangles for faces.