Prismatointercepted prismatotesseractihexadecachoron

From Polytope Wiki
Jump to navigation Jump to search
Prismatointercepted prismatotesseractihexadecachoron
Rank4
TypeUniform
Notation
Bowers style acronymPinpith
Elements
Cells32 triangular prisms, 16 octahedra, 24 octagonal prisms, 8 small cubicuboctahedra
Faces64+64 triangles, 24+48+96 squares, 48 octagons
Edges96+192
Vertices96
Vertex figureWindowed wedge, edge lengths 1 (4), 2 (7), and 2+2 (4)
Measures (edge length 1)
Circumradius
Hypervolume
Dichoral anglesOct–3–trip: 150°
 Socco–8–op: 135°
 Socco–3–oct: 120°
 Socco–4–socco: 90°
 Op–4–op: 90°
Central densityTrip–4–op:
Related polytopes
ArmySrit
RegimentSrit
ConjugateDisprismatointercepted tesseractihexadecachoron
Convex coreChamfered tesseract
Abstract & topological properties
Flag count5760
Euler characteristic72
OrientableYes
Properties
SymmetryB4, order 384
ConvexNo
NatureWild

The prismatointercepted prismatotesseractihexadecachoron, or pinpith, is a nonconvex uniform polychoron that consists of 16 octahedra, 8 small cubicuboctahedra, 32 triangular prisms, and 24 octagonal prisms. One octahedron, two small cubicuboctahedra, two triangular prisms, and four octagonal prisms join at each vertex.

Cross-sections[edit | edit source]

Vertex coordinates[edit | edit source]

The vertices are the same as those of the regiment colonel, the small rhombated tesseract.

External links[edit | edit source]