Triangular triswirltegum
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Triangular triswirltegum | |
---|---|
Rank | 4 |
Type | Isotopic |
Elements | |
Cells | 27 12-vertex decahedra |
Faces | 54 isosceles triangles, 54 rhombi, 27 rectangular-symmetric hexagons |
Edges | 18+54+108 |
Vertices | 18+54 |
Vertex figure | 54 phyllic disphenoids, 18 triangular gyrotegums |
Measures (edge length 1) | |
Central density | 1 |
Related polytopes | |
Dual | Triangular triswirlprism |
Abstract & topological properties | |
Euler characteristic | 0 |
Orientable | Yes |
Properties | |
Symmetry | (I2(9)≀S2)+/3, order 108 |
Convex | Yes |
Nature | Tame |
The triangular triswirltegum is a convex isochoric polychoron and member of the duoprismatic swirltegum family with 27 identical cells. It is the third in an infinite family of isochoric triangular hosohedral swirlchora.
Each cell of this polychoron has chiral digonal prismatic symmetry, with 2 rectangular-symmetric hexagons, 4 rhombi, and 4 isosceles triangles for faces.