Icositetrintercepted prismatoicositetritetracontoctachoron

Icositetrintercepted prismatoicositetritetracontoctachoron
(OFF file)
Rank	4
Type	Uniform
Notation
Bowers style acronym	Inpic
Elements
Cells	24+24 octahedra, 96 triangular prisms, 24 small cubicuboctahedra, 24 small rhombihexahedra
Faces	192+192 triangles, 72+288 squares, 144 octagons
Edges	288+288
Vertices	144
Measures (edge length 1)
Circumradius	${\sqrt {2+{\sqrt {2}}}}\approx 1.84776$
Dichoral angles	Oct–3–trip:; 150°
	Socco–8–sroh: 135°
	Oct–3–socco: 120°
	Socco–4–socco: 90°
	Sroh–4–trip: $\arccos \left({\frac {\sqrt {6}}{3}}\right)\approx 35.26439^{\circ }$
Related polytopes
Army	Spic
Regiment	Spic
Conjugate	Prismatoicositetrintercepted icositetritetracontoctachoron
Abstract & topological properties
Flag count	14976
Euler characteristic	264
Orientable	No
Properties
Symmetry	F4, order 1152
Convex	No
Nature	Wild

The icositetrintercepted prismatoicositetritetracontoctachoron, or inpic, is a nonconvex uniform polychoron that consists of 48 octahedra, 24 small rhombihexahedra, 24 small cubicuboctahedra, and 96 triangular prisms. Two octahedra, four small rhombihexahedra, four small cubicuboctahedra, and four triangular prisms join at each vertex.

Vertex coordinates

Its vertices are the same as those of its regiment colonel, the small prismatotetracontoctachoron.

External links

• Bowers, Jonathan. "Category 13: Spic and Giddic Regiments" (#531).