Small intercepted ditetrahedronary hecatonicosiprismatohecatonicosachoron

Small intercepted ditetrahedronary hecatonicosiprismatohecatonicosachoron
(OFF file)
Rank	4
Type	Uniform
Space	Spherical
Notation
Bowers style acronym	Sand thiphi
Elements
Cells	120 sidtid, 1200 trip, 120 sird
Faces	2400 triangles, 3600 squares, 720 pentagrams, 720 decagons
Edges	3600
Vertices	600
Measures (edge length 1)
Circumradius	$\frac{\sqrt2+\sqrt{10}}{2} \approx 2.28825$
Related polytopes
Army	Hi
Regiment	Sidtaxhi
Conjugate	Grand thiphi
Abstract & topological properties
Flag count	129600
Euler characteristic	3000
Orientable	No
Properties
Symmetry	H4, order 14400
Convex	No
Nature	Wild

The small intercepted ditetrahedronary hecatonicosiprismatohecatonicosachoron, or sand thiphi, is a nonconvex uniform polychoron that consists of 120 small ditrigonary icosidodecahedra, 1200 triangular prisms, and 120 small rhombidodecahedra. Four small ditrigonary icosidodecahedra, twelve triangular prisms, and twelve small rhombidodecahedra 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" (#807).