Small ditetrahedronary hecatonicosiprismatodishecatonicosachoron

Small ditetrahedronary hecatonicosiprismatodishecatonicosachoron
(OFF file)
Rank	4
Type	Uniform
Space	Spherical
Notation
Bowers style acronym	Sadthipady
Elements
Cells	120 sidtid, 120 id, 720 pip, 120 sird
Faces	2400 triangles, 3600 squares, 1440 pentagons, 720 pentagrams, 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	Gadathipady
Abstract & topological properties
Flag count	158400
Euler characteristic	4800
Orientable	No
Properties
Symmetry	H4, order 14400
Convex	No
Nature	Wild

The small ditetrahedronary hecatonicosiprismatodishecatonicosachoron, or sadthipady, is a nonconvex uniform polychoron that consists of 120 small ditrigonary icosidodecahedra, 120 icosidodecahedra, 720 pentagonal prisms, and 120 small rhombidodecahedra. Four small ditrigonary icosidodecahedra, six icosidodecahedra, twelve pentagonal 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" (#809).