# Quasiprismatotetracontoctachoron

Quasiprismatotetracontoctachoron
Rank4
TypeUniform
Notation
Bowers style acronymQuippic
Coxeter diagramx3o4/3o3x ()
Elements
Cells48 octahedra, 192 triangular prisms
Faces384 triangles, 288 squares
Edges576
Vertices144
Vertex figureSquare retroprism, edge lengths 1 (base) and 2 (sides)
Edge figureoct 3 trip 4 trip 4 trip 3
Measures (edge length 1)
Circumradius${\displaystyle {\sqrt {2-{\sqrt {2}}}}\approx 0.76537}$
Hypervolume${\displaystyle 2(8{\sqrt {2}}-11)\approx 0.62742}$
Dichoral anglesOct–3–trip: 30°
Trip–4–trip: ${\displaystyle \arccos \left({\frac {2{\sqrt {2}}}{3}}\right)\approx 19.47122^{\circ }}$
Central density73
Number of external pieces154560
Level of complexity2686
Related polytopes
ArmySpic, edge length ${\displaystyle {\sqrt {2}}-1}$
RegimentGiddic
ConjugateSmall prismatotetracontoctachoron
Abstract & topological properties
Flag count9216
Euler characteristic0
OrientableYes
Properties
SymmetryF4×2, order 2304
ConvexNo
NatureTame

The quasiprismatotetracontoctachoron, or quippic, is a nonconvex uniform polychoron that consists of 48 regular octahedra and 192 triangular prisms. 2 octahedra and 8 triangular prisms join at each vertex. It is the result of pushing the cells of an icositetrachoron inwards.

## Vertex coordinates

Its vertices are the same as those of the great distetracontoctachoron, its regiment colonel.

## Related polytopes

Its square faces form {4,8/3∣3} a regular skew polyhedron.