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|Cells||25 rectangular trapezoprisms, 10 pentagonal prisms, 10 pentagonal trapezorhombihedra|
|Faces||100 isosceles trapezoids, 50 rectangles, 25 squares, 20 pentagons|
|Vertex figure||Isosceles trapezoidal pyramid|
|Measures (edge length 1)|
|Abstract & topological properties|
|Symmetry||H2≀S2, order 200|
The pentagonal duotransitionalterprism is a convex isogonal polychoron and the fourth member of the duotransitionalterprism family. It consists of 10 pentagonal trapezorhombihedra, 10 pentagonal prisms, and 25 rectangular trapezoprisms. 2 pentagonal trapezorhombihedra, 1 pentagonal prism, and 2 rectangular trapezoprisms join at each vertex. It can be obtained as the convex hull of two orthogonal pentagonal-dipentagonal duoprisms. However, it cannot be made scaliform.
Using the ratio method, the lowest possible ratio between the longest and shortest edges is 1: ≈ 1:2.14412.