Medial 15-4 double step prism

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Medial 15-4 double step prism
File:Medial 15-4 double step prism.png
Rank4
TypeIsogonal
Elements
Cells60 irregular tetrahedra, 30+30+30+30 phyllic disphenoids, 15 rhombic disphenoids
Faces60+60+60+60+60+60 scalene triangles, 30 isosceles triangles
Edges15+30+30+30+30+30+60
Vertices30
Vertex figure15-vertex polyhedron with 26 triangles
Measures (edge length 1)
Central density1
Related polytopes
DualMedial 15-4 bigyrochoron
Abstract & topological properties
Euler characteristic0
OrientableYes
Properties
SymmetryS2(I2(15)-4)×2R, order 60
ConvexYes
NatureTame

The medial 15-4 double step prism is a convex isogonal polychoron that consists of 15 rhombic disphenoids, 120 phyllic disphenoids of four kinds, and 60 irregular tetrahedra. 2 rhombic disphenoids, 16 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.

Using the ratio method, the lowest possible ratio between the longest and shortest edges is 1: ≈ 1:1.91303.