Square dihedral bitrigyroprism

Square dihedral bitrigyroprism
File:Square dihedral bitrigyroprism.png (OFF file)
Rank	5
Type	Isogonal
Elements
Tera	24 skew rectangular scalenes, 8 6-2 step prisms, 12 square-tetragonal disphenoidal wedges, 6 tetragonal disphenoidal antiprisms, 6 tetragonal disphenoidal prisms
Cells	48 phyllic disphenoids, 48 sphenoids, 24 rhombic disphenoids, 12+12 tetragonal disphenoids, 48 skew rectangular pyramids, 24 wedges
Faces	96 scalene triangles, 48+48+48 isosceles triangles, 24 rectangles, 6 squares
Edges	12+24+48+48
Vertices	24
Measures (edge length 1)
Central density	1
Related polytopes
Dual	Square hosohedral bitrigyrotegum
Abstract & topological properties
Euler characteristic	2
Orientable	Yes
Properties
Symmetry	(B3÷(B2×A1))×2, order 96
Convex	Yes
Nature	Tame

The square dihedral bitrigyroprism is a convex isogonal polyteron that consists of 6 tetragonal disphenoidal prisms, 6 tetragonal disphenoidal antiprisms, 12 square-tetragonal disphenoidal wedges, 8 6-2 step prisms, and 24 skew rectangular scalenes. 2 tetragonal disphenoidal prisms, 2 tetragonal disphenoidal antiprisms, 2 square-tetragonal disphenoidal wedges, 2 6-2 step prisms, and 8 skew rectangular scalenes meet at each vertex. It is the convex hull of two opposite tridiminished rectified hexatera. However, it cannot be made scaliform.

Using the ratio method, the lowest possible ratio between the longest and shortest edges is 1:${\frac {\sqrt {6}}{2}}$ ≈ 1:1.22474.