Digonal-hexagonal triprismantiprismoid
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Digonal-hexagonal triprismantiprismoid | |
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File:Digonal-hexagonal triprismantiprismoid.png | |
Rank | 4 |
Type | Isogonal |
Elements | |
Cells | 12 phyllic disphenoids, 6 rhombic disphenoids, 12 digonal-rectangular gyrowedges, 6 rectangular gyroprisms |
Faces | 24+24+24+24 scalene triangles, 6+6 rectangles |
Edges | 12+12+12+12+12+12+24 |
Vertices | 24 |
Vertex figure | 8-vertex polyhedron with 4 tetragons and 4 triangles |
Measures (edge length 1) | |
Central density | 1 |
Related polytopes | |
Dual | Digonal-hexagonal tritegmoantitegmoid |
Abstract & topological properties | |
Euler characteristic | 0 |
Orientable | Yes |
Properties | |
Symmetry | (G2×G2)+/3, order 24 |
Convex | Yes |
Nature | Tame |
The digonal-hexagonal triprismantiprismoid is a convex isogonal polychoron that consists of 6 rectangular gyroprisms, 12 digonal-rectangular gyrowedges, 6 rhombic disphenoids, and 12 phyllic disphenoids. 2 rectangular gyroprism, 2 rhombic disphenoids, and 4 phyllic disphenoids join at each vertex. It can be obtained as a subsymmetrical faceting of the hexagonal-dihexagonal duoprism. However, it cannot be made scaliform.
Using the ratio method, the lowest possible ratio between the longest and shortest edges is 1: ≈ 1:1.98406.
Vertex coordinates[edit | edit source]
The vertices of a digonal-hexagonal triprismantiprismoid, assuming that the edge length differences are minimized, using the ratio method, are given by all even permutations of the first two coordinates of: