Small ditetrahedronary prismatotrishecatonicosachoron

Small ditetrahedronary prismatotrishecatonicosachoron
(OFF file)
Rank	4
Type	Uniform
Space	Spherical
Notation
Bowers style acronym	Sadtapthi
Elements
Cells	120 gidtid, 120 doe, 1200 trip, 120 sird
Faces	2400 triangles, 3600 squares, 1440 pentagons, 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	Gardtapthi
Abstract & topological properties
Flag count	144000
Euler characteristic	3600
Orientable	No
Properties
Symmetry	H4, order 14400
Convex	No
Nature	Wild

The small ditetrahedronary prismatotrishecatonicosachoron, or sadtapthi, is a nonconvex uniform polychoron that consists of 120 great ditrigonary icosidodecahedra, 120 dodecahedra, 1200 triangular prisms, and 120 small rhombidodecahedra. Four great ditrigonary icosidodecahedra, four dodecahedra, 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" (#812).