Small retroinverted prismatotetracontoctachoron

Small retroinverted prismatotetracontoctachoron
(OFF file)
Rank	4
Type	Uniform
Notation
Bowers style acronym	Sripic
Elements
Cells	48 tic, 192 trip
Faces	384 triangles, 288 squares, 144 octagons
Edges	576
Vertices	144
Vertex figure	Inverted square antiprism, edge lengths 1 (base), √2 (outer side edges), and √2+√2 (inne side edges)
Edge figure	(trip 4 trip 4 trip 3 tic 8 tic 8 tic 3)
Measures (edge length 1)
Circumradius	${\sqrt {2+{\sqrt {2}}}}\approx 1.84776$
Hypervolume	$20(3+2{\sqrt {2}})\approx 116.56854$
Dichoral angles	Trip–4–trip: $\arccos \left(-{\frac {2{\sqrt {2}}}{3}}\right)\approx 160.52878^{\circ }$
	Tic–3–trip: 90°
	Socco–8–socco: 45°
Number of external pieces	576
Level of complexity	7
Related polytopes
Army	Spic
Regiment	Spic
Conjugate	Great retroinverted prismatotetracontoctachoron
Abstract & topological properties
Flag count	13824
Euler characteristic	144
Orientable	Yes
Properties
Symmetry	F4×2, order 2304
Convex	No
Nature	Feral

The small retroinverted prismatotetracontoctachoron, or sripic, is a nonconvex uniform polychoron that consists of 48 truncated cubes and 192 triangular prisms. Eight truncated cubes and eight triangular prisms join at each vertex.

It also has octahedra as pseudofacets.

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" (#514).