Digonal-hexagonal triprismantiprismoid

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Digonal-hexagonal triprismantiprismoid
File:Digonal-hexagonal triprismantiprismoid.png
Rank4
TypeIsogonal
Elements
Cells12 phyllic disphenoids, 6 rhombic disphenoids, 12 digonal-rectangular gyrowedges, 6 rectangular gyroprisms
Faces24+24+24+24 scalene triangles, 6+6 rectangles
Edges12+12+12+12+12+12+24
Vertices24
Vertex figure8-vertex polyhedron with 4 tetragons and 4 triangles
Measures (edge length 1)
Central density1
Related polytopes
DualDigonal-hexagonal tritegmoantitegmoid
Abstract & topological properties
Euler characteristic0
OrientableYes
Properties
Symmetry(G2×G2)+/3, order 24
ConvexYes
NatureTame

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: