Small 15-4 double step prism

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Small 15-4 double step prism
File:Small 15-4 double step prism.png
Rank4
TypeIsogonal
Elements
Cells15 rhombic disphenoids, 30+30+30 phyllic disphenoids, 60 irregular tetrahedra
Faces30 isosceles triangles, 60+60+60+60+60 scalene triangles
Edges15+30+30+30+30+60
Vertices30
Vertex figure13-vertex polyhedron with 22 triangular faces
Measures (edge length 1)
Central density1
Related polytopes
DualSmall 15-4 bigyrochoron
Abstract & topological properties
Euler characteristic0
OrientableYes
Properties
SymmetryI2(15)+×4×I, order 60
ConvexYes
NatureTame

The small 15-4 double step prism is a convex isogonal polychoron that consists of 15 rhombic disphenoids, 90 phyllic disphenoids of three kinds, and 60 irregular tetrahedra. 2 rhombic disphenoids, 12 phyllic disphenoids, and 8 irregular tetrahedra join at each vertex. It can be obtained as the convex hull of two orthogonal 15-4 step prisms.

This polychoron cannot be optimized using the ratio method, because the solution would yield a medial 15-4 double step prism instead.