Small retroditetrahedronary prismatotrishecatonicosachoron

Small retroditetrahedronary prismatotrishecatonicosachoron
(OFF file)
Rank	4
Type	Uniform
Space	Spherical
Notation
Bowers style acronym	Sard tipthi
Elements
Cells	120 doe, 120 id, 1200 trip, 120 sird
Faces	2400 triangles, 3600 squares, 1440 pentagons, 720 decagons
Edges	3600
Vertices	600
Measures (edge length 1)
Circumradius	$\frac{\sqrt2+\sqrt{10}}{2} \approx 2.28825$
Number of external pieces	1271280
Level of complexity	2483
Related polytopes
Army	Hi
Regiment	Sidtaxhi
Conjugate	Gadtapthi
Abstract & topological properties
Flag count	144000
Euler characteristic	3600
Orientable	No
Properties
Symmetry	H4, order 14400
Convex	No
Nature	Wild

The small retroditetrahedronary prismatotrishecatonicosachoron is a nonconvex uniform polychoron that consists of 120 dodecahedra, 120 icosidodecahedra, 1200 triangular prisms, and 120 small rhombidodecahedra. Four dodecahedra, six 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" (#814).