|Cells||16 rectangular trapezoprisms, 8 square prisms, 8 square trapezorhombihedra|
|Faces||64 isosceles trapezoids, 32 rectangles, 16+16 squares|
|Vertex figure||Isosceles trapezoidal pyramid|
|Measures (edge length 1)|
|Abstract & topological properties|
|Symmetry||B2≀S2, order 128|
The square duotransitionalterprism is a convex isogonal polychoron and the third member of the duotransitionalterprism family. It consists of 8 square trapezorhombihedra, 8 square prisms, and 16 rectangular trapezoprisms. 2 square trapezorhombihedra, 1 square prism, and 2 rectangular trapezoprisms join at each vertex. It can be obtained as the convex hull of two orthogonal square-ditetragonal duoprisms. However, it cannot be made scaliform.
This polychoron can be alternated into a digonal duotransitionalterantiprism, which is also not scaliform.
Using the ratio method, the lowest possible ratio between the longest and shortest edges is 1:2.
Vertex coordinates[edit | edit source]
The vertices of a square duotransitionalterprism, assuming that the isosceles trapezoids have three equal edges of length 1, centered at the origin, are given by:
|This article is a stub. You can help Polytope Wiki by expanding it.|