Bitetragonal duotransitionalterprism

From Polytope Wiki
Jump to navigation Jump to search
Bitetragonal duotransitionalterprism
File:Bitetragonal duotransitionalterprism.png
Rank4
TypeIsogonal
Elements
Cells16 rectangular trapezoprisms, 8 ditetragonal prisms, 8 orthoaligned truncated square prisms
Faces64 isosceles trapezoids, 32+32 rectangles, 16+16 ditetragons
Edges64+64+64+64
Vertices128
Vertex figureIrregular tetrahedron
Measures (edge length 1)
Central density1
Related polytopes
DualBitetragonal duotransitionaltertegum
Abstract & topological properties
Euler characteristic0
OrientableYes
Properties
SymmetryB2≀S2, order 128
ConvexYes
NatureTame

The bitetragonal duotransitionalterprism is a convex isogonal polychoron and the third member of the bipolygonal duotransitionalterprism family. It consists of 8 orthoaligned truncated square prisms, 8 ditetragonal prisms, and 16 rectangular trapezoprisms. 2 orthoaligned truncated square prisms, 1 ditetragonal prism, and 1 rectangular trapezoprism join at each vertex. It can be obtained as the convex hull of two orthogonal ditetragonal-ditetragonal duoprisms. However, it cannot be made scaliform.

This polychoron can be alternated into a snub square duotransitionalterprism, which is also not scaliform.

Using the ratio method, the lowest possible ratio between the longest and shortest edges is 1:2.