Small prismatoditetrahedronary prismatohecatonicosachoron

Small prismatoditetrahedronary prismatohecatonicosachoron
(OFF file)
Rank	4
Type	Uniform
Notation
Bowers style acronym	Sapditphi
Elements
Cells	720 pip, 1200 trip, 120 saddid
Faces	2400 triangles, 3600 squares, 1440 pentagons, 720 decagons
Edges	3600
Vertices	600
Measures (edge length 1)
Circumradius	${\frac {{\sqrt {2}}+{\sqrt {10}}}{2}}\approx 2.28825$
Number of external pieces	1446480
Level of complexity	3260
Related polytopes
Army	Hi
Regiment	Sidtaxhi
Conjugate	Gapdatphi
Abstract & topological properties
Flag count	144000
Euler characteristic	3120
Orientable	Yes
Properties
Symmetry	H4, order 14400
Convex	No
Nature	Wild

The small prismatoditetrahedronary prismatohecatonicosachoron, or sapditphi, is a nonconvex uniform polychoron that consists of 720 pentagonal prisms, 1200 triangular prisms, and 120 small dodecicosidodecahedra. Twelve pentagonal prisms, twelve triangular prisms, and twelve small dodecicosidodecahedra 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" (#801).