Transitional triangular double tetraswirltegum
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Transitional triangular double tetraswirltegum | |
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File:Transitional triangular double tetraswirltegum.png | |
Rank | 4 |
Type | Isotopic |
Elements | |
Cells | 72 8-vertex enneahedra |
Faces | 72+72+72 isosceles triangles, 72 kites, 36 rhombi |
Edges | 24+36+144+144 |
Vertices | 24+36+36 |
Vertex figure | 36 rhombic disphenoids, 24 triangular gyrotegums, 36 rhombic gyrotegums |
Measures (edge length 1) | |
Central density | 1 |
Related polytopes | |
Dual | Transitional triangular double tetraswirlprism |
Abstract & topological properties | |
Euler characteristic | 0 |
Orientable | Yes |
Properties | |
Symmetry | (I2(12)≀S2)+/4, order 144 |
Convex | Yes |
Nature | Tame |
The transitional triangular double tetraswirltegum is a convex isochoric polychoron with 72 identical cells. It is the fourth in an infinite family of isochoric triangular tegmatic swirlchora, the others being the small triangular double tetraswirltegum and great triangular double tetraswirltegum.
Each cell of this polychoron has bilateral symmetry, with 1 rhombus, 2 kites, and 6 isosceles triangles for faces.