Digonal double tetraswirltegum
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| Digonal double tetraswirltegum | |
|---|---|
| File:Digonal double tetraswirltegum.png | |
| Rank | 4 |
| Type | Isotopic |
| Elements | |
| Cells | 32 20-vertex dodecahedra |
| Faces | 32+32 kites, 16 rhombi, 32 squares, 32+32 mirror-symmetric hexagons, 16 rectangular-symmetric octagons |
| Edges | 64+64+64+64+64 |
| Vertices | 16+16+16+16+32+64 |
| Vertex figure | 64 irregular tetrahedra, 32 phyllic disphenoids, 16+16+16 rhombic disphenoids, 16 tetragonal disphenoids |
| Measures (edge length 1) | |
| Central density | 1 |
| Related polytopes | |
| Dual | Digonal double tetraswirlprism |
| Abstract & topological properties | |
| Euler characteristic | 0 |
| Orientable | Yes |
| Properties | |
| Symmetry | (I2(8)≀S2)+/4, order 64 |
| Convex | Yes |
| Nature | Tame |
The digonal double tetraswirltegum is a convex isochoric polychoron with 32 identical cells. It is the third in an infinite family of isochoric digonal tegmatic swirlchora, the other being the square duoantitegum.
Each cell of this polychoron has bilateral symmetry, with 1 rectangular-symmetric octagon, 4 mirror-symmetric hexagons, 2 squares, for faces.