Small rhombic tesseractihexadecachoron

The small rhombic tesseractihexadecachoron, or sirth, is a nonconvex uniform polychoron that consists of 8 truncated octahedra, 16 cubohemioctahedra, and 24 cubes. 2 of each type of cell join at each vertex.

Small rhombic tesseractihexadecachoron
Rank4
TypeUniform
Notation
Bowers style acronymSirth
Elements
Cells24 cubes, 16 cubohemioctahedra, 8 truncated octahedra
Faces48+96 squares, 64 hexagons
Edges96+192
Vertices96
Vertex figureButterfly wedge, edge lengths 2 (bases and sides of outer triangles) and 3 (sides of inner triangles)
Measures (edge length 1)
Circumradius
Dichoral anglesCho–4–cube: 135°
 Cho–6–toe: 60°
 Toe–4–cube: 45°
Related polytopes
ArmyRico
RegimentRico
ConjugateNone
Convex coreTesseract
Abstract & topological properties
Flag count3840
Euler characteristic–32
OrientableNo
Properties
SymmetryB4, order 384
ConvexNo
NatureTame

Vertex coordinates edit

The vertices are the same as those of the regiment colonel, the rectified icositetrachoron.

External links edit