Prismatoicositetrintercepted disicositetrachoron

Prismatoicositetrintercepted disicositetrachoron
(OFF file)
Rank	4
Type	Uniform
Notation
Bowers style acronym	Pindi
Elements
Cells	96 triangular prisms, 24 cuboctahedra, 24 great cubicuboctahedra, 24 quasitruncated cuboctahedra
Faces	96+192 triangles, 144+288 squares, 96 hexagons, 144 octagrams
Edges	288+576
Vertices	288
Vertex figure	Inverted wedge, edge lengths 1 (3), √2 (6), √3 (2), and √2–√2 (4)
Measures (edge length 1)
Circumradius	${\sqrt {4-2{\sqrt {2}}}}\approx 1.08239$
Hypervolume	$140{\sqrt {2}}-173=24.98990$
Dichoral angles	Gocco–3–gocco: 120°
	Quitco–6–quitco: 60°
	Quitco–4–trip: $\arccos \left({\frac {\sqrt {3}}{3}}\right)\approx 54.73561^{\circ }$
	Gocco–4–co: 45°
	Gocco–8/3–quitco: 45°
	Co–3–trip: 30°
Related polytopes
Army	Srico
Regiment	Wavaty
Conjugate	Icositetrintercepted prismatodisicositetrachoron
Convex core	Icositetrachoron
Abstract & topological properties
Euler characteristic	216
Orientable	Yes
Properties
Symmetry	F4, order 1152
Convex	No
Nature	Wild

The prismatoicositetrintercepted disicositetrachoron, or pindi, is a nonconvex uniform polychoron that consists of 24 cuboctahedra, 24 great cubicuboctahedra, 96 triangular prisms, and 24 quasitruncated cuboctahedra. One cuboctahedron, two great cubicuboctahedra, two triangular prisms, and four quasitruncated cuboctahedra join at each vertex.

Vertex coordinates

The vertices are the same as those of the regiment colonel, the sphenoverted trisicositetrachoron.

External links

• Bowers, Jonathan. "Category 6: Sphenoverts" (#233).