Icositetrintercepted tetracontoctidisicositetrachoron

Icositetrintercepted tetracontoctidisicositetrachoron
Rank	4
Type	Uniform
Notation
Bowers style acronym	Incdi
Elements
Cells	48 oct, 24 groh, 24 querco, 24 quith
Faces	288 triangles, 360 squares, 144 octagrams
Edges	576
Vertices	144
Measures (edge length 1)
Circumradius	${\sqrt {2-{\sqrt {2}}}}\approx 0.76537$
Related polytopes
Army	Spic
Regiment	Giddic
Conjugate	Dinic
Abstract & topological properties
Euler characteristic	168
Orientable	No
Properties
Symmetry	F4, order 1152
Convex	No
Nature	Wild

The icositetrintercepted tetracontoctidisicositetrachoron, or incdi, is a nonconvex uniform polychoron that consists of 48 octahedra, 24 great rhombihexahedra, 24 quasirhombicuboctahedra, and 24 quasitruncated hexahedra. Two octahedra, four great rhombihexahedra, four quasirhombicuboctahedra, and four quasitruncated hexahedra join at each vertex.

Vertex coordinates

Its vertices are the same as those of its regiment colonel, the great distetracontoctachoron.

External links

• Bowers, Jonathan. "Category 13: Spic and Giddic Regiments" (#551).