Expanded dodecafold cubiswirlchoron
Jump to navigation
Jump to search
| Expanded dodecafold cubiswirlchoron | |
|---|---|
| Rank | 4 |
| Type | Isogonal |
| Elements | |
| Cells | 288+288 wedges, 96 triangular prisms, 96 triangular gyroprisms, 72 square prisms, 72 square gyroprisms |
| Faces | 192 triangles, 576+576 isosceles triangles, 144 squares, 288+288+576 rectangles |
| Edges | 288+288+288+288+576+576 |
| Vertices | 576 |
| Vertex figure | Irregular tetragonal antiprism |
| Measures (edge length 1) | |
| Central density | 1 |
| Related polytopes | |
| Dual | Small crystallized cubiswirlic heptacontadichoron |
| Abstract & topological properties | |
| Euler characteristic | 0 |
| Orientable | Yes |
| Properties | |
| Symmetry | B3●I2(12), order 576 |
| Convex | Yes |
| Nature | Tame |
The small disprismated dodecafold cubiswirlchoron, also known as the small disprismated dodecafold octaswirlchoron, is an isogonal polychoron with 72 square prisms, 72 square gyroprisms, 96 triangular prisms, 96 triangular gyroprisms, 576 wedges of two kinds, and 576 vertices. 4 wedges and 1 each of the other cell types join at each vertex. It can be formed by expanding the cells of the square-gyroprismatic heptacontadichoron or its dual triangular-gyroprismatic enneacontahexachoron outward.