Small rhombic disoctachoron

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Small rhombic disoctachoron
Rank4
TypeUniform
Notation
Bowers style acronymSirdo
Elements
Cells32 triangular prisms, 8 truncated cubes, 8 small rhombihexahedra
Faces64 triangles, 96 squares, 48 octagons
Edges96+192
Vertices96
Vertex figureButterfly wedge, edge lengths 1 (bases), 2 (ides of outer triangles), and 2+2 (sides of inner triangles)
Measures (edge length 1)
Circumradius
Dichoral anglesSroh–4–trip:
 Sroh–8–tic: 90°
 Tic–3–trip: 90°
Related polytopes
ArmySrit
RegimentSrit
ConjugateGreat rhombic disoctachoron
Convex coreTesseract
Abstract & topological properties
Flag count3840
Euler characteristic–32
OrientableNo
Properties
SymmetryB4, order 384
ConvexNo
NatureTame

The small rhombic disoctachoron, or sirdo, is a nonconvex uniform polychoron that consists of 8 truncated cubes, 8 small rhombihexahedra, and 32 triangular prisms. 2 of each type of cell join at each vertex.

It can be constructed as a blend of four truncated cubic prisms. In the process the octagonal prisms blend into small rhombihexahedra.

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]