Digonal duotruncatoalterantiprism
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Digonal duotruncatoalterantiprism | |
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File:Digonal duotruncatoalterantiprism.png | |
Rank | 4 |
Type | Isogonal |
Elements | |
Cells | 16 digonal disphenoids, 8+16 tetragonal disphenoids, 32 isosceles trapezoidal pyramids, 16 wedges |
Faces | 32+32+32+64 isosceles triangles, 32 isosceles trapezoids, 8 rectangles |
Edges | 16+16+16+32+64 |
Vertices | 32 |
Vertex figure | Polyhedron with 1 tetragon and 12 triangles |
Measures (edge length 1) | |
Central density | 1 |
Related polytopes | |
Dual | Digonal duotruncatoalterantitegum |
Abstract & topological properties | |
Euler characteristic | 0 |
Orientable | Yes |
Properties | |
Symmetry | B2+≀S2×2, order 64 |
Convex | Yes |
Nature | Tame |
The digonal duotruncatoalterantiprism is a convex isogonal polychoron and the first member of the duotruncatoalterantiprisms. It consists of 16 wedges, 32 isosceles trapezoidal pyramids, 24 tetragonal disphenoids of two kinds, and 16 digonal disphenoids. 3 wedges, 5 isosceles trapezoidal pyramids, 3 tetragonal disphenoids, and 2 digonal disphenoids join at each vertex. It can be obtained as the convex hull of two orthogonal digonal-square prismantiprismoids. However, it cannot be made scaliform.
This polychoron cannot be optimized using the ratio method, because the solution (with intended minimal ratio 1: ≈ 1:1.41421) would yield a rectified tesseract instead.