Skewverted trisprismatoctachoron

Skewverted trisprismatoctachoron
(OFF file)
Rank	4
Type	Uniform
Notation
Bowers style acronym	Kavitpo
Coxeter diagram	(x4/3x3x4*aØx4/3x3x4*d *bØ*d *cØ*f)/2
Elements
Cells	32 hexagonal prisms, 24 octagonal prisms, 24 octagrammic prisms, 8 cuboctatruncated cuboctahedra
Faces	96+96+96 squares, 64 hexagons, 48 octagons, 48 octagrams
Edges	192+192+192
Vertices	192
Vertex figure	Scalene triangular retroprism
Measures (edge length 1)
Circumradius	${\sqrt {2}}\approx 1.41421$
Hypervolume	40
Dichoral angles	Stop–4–hip: $\arccos \left(-{\frac {\sqrt {3}}{3}}\right)\approx 125.26439^{\circ }$
	Stop–4–op: 90°
	Cotco–6–hip: 90°
	Cotco-8/3–stop: 90°
	Cotco–8–op: 90°
	Op–4–hip: $\arccos \left({\frac {\sqrt {3}}{3}}\right)\approx 54.73561^{\circ }$
Central density	-2
Related polytopes
Army	Semi-uniform Proh, edge lengths ${\sqrt {2}}-1$ (truncated cubes), 1 (bases of triangular prisms)
Regiment	Skiviphado
Conjugate	Skewverted trisprismatoctachoron
Abstract & topological properties
Flag count	9216
Euler characteristic	–24
Orientable	Yes
Properties
Symmetry	B4, order 384
Convex	No
Nature	Tame

The skewverted trisprismatoctachoron, or kavitpo, is a nonconvex uniform polychoron that consists of 24 octagrammic prisms, 8 cuboctatruncated cuboctahedra, 24 octagonal prisms, and 32 hexagonal prisms. Two octagrammic prisms, two cuboctatruncated cuboctahedra, two octagonal prisms, and two hexagonal prisms join at each vertex.

Vertex coordinates

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

External links

• Bowers, Jonathan. "Category 14: Skewverts" (#559).