# Small retroinverted prismatotetracontoctachoron

Small retroinverted prismatotetracontoctachoron
Rank4
TypeUniform
Notation
Bowers style acronymSripic
Elements
Cells48 tic, 192 trip
Faces384 triangles, 288 squares, 144 octagons
Edges576
Vertices144
Vertex figureInverted 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${\displaystyle {\sqrt {2+{\sqrt {2}}}}\approx 1.84776}$
Hypervolume${\displaystyle 20(3+2{\sqrt {2}})\approx 116.56854}$
Dichoral anglesTrip–4–trip: ${\displaystyle \arccos \left(-{\frac {2{\sqrt {2}}}{3}}\right)\approx 160.52878^{\circ }}$
Tic–3–trip: 90°
Socco–8–socco: 45°
Number of external pieces576
Level of complexity7
Related polytopes
ArmySpic
RegimentSpic
ConjugateGreat retroinverted prismatotetracontoctachoron
Abstract & topological properties
Flag count13824
Euler characteristic144
OrientableYes
Properties
SymmetryF4×2, order 2304
ConvexNo
NatureFeral

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.