Decagonal tetrambitriate
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Decagonal tetrambitriate | |
---|---|
Rank | 4 |
Type | Isotopic |
Elements | |
Cells | 200 wedges |
Faces | 200 isosceles triangles, 200 isosceles trapezoids, 100 squares |
Edges | 20+200+200 |
Vertices | 20+100 |
Vertex figure | 100 digonal scalenohedra, 20 decagonal tegums |
Measures (edge length 1) | |
Central density | 1 |
Related polytopes | |
Dual | Decagonal ditetragoltriate |
Abstract & topological properties | |
Euler characteristic | 0 |
Orientable | Yes |
Properties | |
Symmetry | I2(10)≀S2, order 800 |
Convex | Yes |
Nature | Tame |
The decagonal tetrambitriate is a convex isochoric polychoron and member of the tetrambitriate family with 200 wedges as cells. It is the first in an infinite family of isochoric decagonal tegmatic swirlchora.
Each cell of this polychoron has rectangular pyramidal symmetry, with 1 square, 2 isosceles trapezoids, and 2 isosceles triangles for faces.