Small ditetrahedronary prismatocubihexacosichoron

Small ditetrahedronary prismatocubihexacosichoron
(OFF file)
Rank	4
Type	Uniform
Space	Spherical
Notation
Bowers style acronym	Sidtapicax
Elements
Cells	120 compounds of five cubes, 600 tetrahedra, 1200 triangular prisms
Faces	2400 triangles, 3600 squares
Edges	3600
Vertices	600
Measures (edge length 1)
Circumradius	$\frac{\sqrt2+\sqrt{10}}{2} \approx 2.28825$
Number of external pieces	96120
Level of complexity	190
Related polytopes
Army	Hi
Regiment	Sidtaxhi
Conjugate	Gadtapicax
Abstract & topological properties
Flag count	86400
Euler characteristic	600
Orientable	Yes
Properties
Symmetry	H4, order 14400
Convex	No
Nature	Wild

The small ditetrahedronary prismatocubihexacosichoron, or sidtapicax, is a nonconvex uniform polychoron that consists of 600 cubes (lying in the same hyperplanes, forming 120 compounds of five cubes), 600 tetrahedra, and 1200 triangular prisms. Eight cubes (or four compounds), four tetrahedra, and twelve triangular prisms join at each vertex.

Vertex coordinates

Its vertices are the same as those of its regiment colonel, the small ditetrahedronary hexacosihecatonicosachoron.

External links

• Bowers, Jonathan. "Category 18: Ditetrahedrals" (#787).