Small circumfacetodistetracontoctachoron

The small circumfacetodistetracontoctachoron, or smiffadic, is a nonconvex uniform polychoron that consists of 48 octahedra and 48 small rhombicuboctahedra. Two octahedra and eight small rhombicuboctahedra join at each vertex.

Small circumfacetodistetracontoctachoron
Rank4
TypeUniform
Notation
Bowers style acronymSmiffadic
Elements
Cells48 octahedra, 48 small rhombicuboctahedra
Faces384 triangles, 144+288 squares
Edges576
Vertices144
Edge figure(oct 3 sirco 4 sirco 4 sirco 4 sirco 3)
Measures (edge length 1)
Circumradius
Hypervolume
Dichoral anglesSirco–3–oct: 120°
 Sirco–4–sirco: 90°
Number of external pieces1008
Level of complexity14
Related polytopes
ArmySpic
RegimentSpic
ConjugateGreat intercepted distetracontoctachoron
Abstract & topological properties
Flag count11520
Euler characteristic288
OrientableYes
Properties
SymmetryF4×2, order 2304
ConvexNo
NatureWild

It also has triangular prisms as pseudofacets.

Vertex coordinates edit

Its vertices are the same as those of its regiment colonel, the small prismatotetracontoctachoron.

External links edit