Hollow cubic gyrotrigonism

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Hollow cubic gyrotrigonism
Rank5
TypeScaliform
Elements
Tera3 hollow cubic cupoliprisms
18 blends of 2 antiduowedges
Cells72 square pyramids
36 blends of 2 triangular prisms
36 tetrahedra (as 18 stella octangulas)
Faces144+48 triangles
72 squares
Edges36+144
Vertices36
Measures (edge length 1)
Circumradius
Hypervolume
ArmyTraco
Abstract & topological properties
OrientableYes
Properties
SymmetryB3×A2, order 288
ConvexNo

This scaliform polyteron can be created as a blend of 6 tridiminished rectified hexatera.

Vertex coordinates[edit | edit source]

The vertices of a hollow cubic gyrotrigonism of edge length 1 are given by all permutations of the first three coordinates of: