Small ditetrahedronary disprismatohecatonicosachoron

Small ditetrahedronary disprismatohecatonicosachoron
(OFF file)
Rank	4
Type	Uniform
Notation
Bowers style acronym	Sidtadphi
Elements
Cells	120 id, 720 pip, 1200 trip
Faces	2400 triangles, 3600 squares, 1440 pentagons
Edges	3600
Vertices	600
Edge figure	(trip 4 pip 5 id 3 trip 4 pip 4 trip 3 id 5 pip 4)
Measures (edge length 1)
Circumradius	${\frac {{\sqrt {2}}+{\sqrt {10}}}{2}}\approx 2.28825$
Number of external pieces	1357680
Level of complexity	2836
Related polytopes
Army	Hi
Regiment	Sidtaxhi
Conjugate	Gadtadaphi
Abstract & topological properties
Flag count	115200
Euler characteristic	2400
Orientable	Yes
Properties
Symmetry	H4, order 14400
Convex	No
Nature	Feral

The small ditetrahedronary disprismatohecatonicosachoron, or sidtadphi, is a nonconvex uniform polychoron that consists of 120 icosidodecahedra, 720 pentagonal prisms, and 1200 triangular prisms. Six 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" (#785).