Small spinoditetrahedronary disprismatohecatonicosachoron

Small spinoditetrahedronary disprismatohecatonicosachoron
(OFF file)
Rank	4
Type	Uniform
Notation
Bowers style acronym	Sandit diphi
Elements
Cells	120 gidtid, 720 pip, 1200 trip
Faces	2400 triangles, 3600 squares, 1440 pentagons
Edges	3600
Vertices	600
Measures (edge length 1)
Circumradius	${\frac {{\sqrt {2}}+{\sqrt {10}}}{2}}\approx 2.28825$
Related polytopes
Army	Hi
Regiment	Sidtaxhi
Conjugate	Gand tadiphi
Abstract & topological properties
Flag count	115200
Euler characteristic	2400
Orientable	No
Properties
Symmetry	H4, order 14400
Convex	No
Nature	Wild

The small spinoditetrahedronary disprismatohecatonicosachoron, or sandit diphi, is a nonconvex uniform polychoron that consists of 120 great ditrigonary icosidodecahedra, 720 pentagonal prisms, and 1200 triangular prisms. Four great ditrigonary icosidodecahedra, twelve pentagonal prisms, 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" (#786).