Small retrointercepted ditetrahedronary hecatonicosiprismatohecatonicosachoron

Small retrointercepted ditetrahedronary hecatonicosiprismatohecatonicosachoron
(OFF file)
Rank	4
Type	Uniform
Space	Spherical
Notation
Bowers style acronym	Sarned thiphi
Elements
Cells	120 ditdid, 1200 trip, 120 srid
Faces	2400 triangles, 3600 squares, 1440 pentagons, 720 pentagrams
Edges	3600
Vertices	600
Measures (edge length 1)
Circumradius	$\frac{\sqrt2+\sqrt{10}}{2} \approx 2.28825$
Related polytopes
Army	Hi
Regiment	Sidtaxhi
Conjugate	Gand thiphi
Abstract & topological properties
Flag count	129600
Euler characteristic	3720
Orientable	No
Properties
Symmetry	H4, order 14400
Convex	No
Nature	Wild

The small retrointercepted ditetrahedronary hecatonicosiprismatohecatonicosachoron, or sarned thiphi, is a nonconvex uniform polychoron that consists of 120 ditrigonary dodecadodecahedra, 1200 triangular prisms, and 120 small rhombicosidodecahedra. Four ditrigonary dodecadodecahedra, twelve triangular prisms, and twelve small rhombicosidodecahedra 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" (#792).