Bowtie cut cuboctahedron

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Bowtie cut cuboctahedron
Rank3
TypeOrbiform
Notation
Bowers style acronymBocuco
Elements
Faces4 triangles, 4 squares, 2 hexagons
Edges4+8+8
Vertices2+2+8
Vertex figures2 bowties, edge lengths 2 and 3
2 rectangles, edge lengths 1 and 2
8 scalene triangles, edge lengths 1, 2, 3
Measures (edge length 1)
Circumradius1
Volume${\displaystyle {\sqrt {2}}\approx 1.41421}$
Dihedral angles3–4: ${\displaystyle \arccos \left(-{\frac {\sqrt {3}}{3}}\right)\approx 125.26439^{\circ }}$
3–6: ${\displaystyle \arccos \left({\frac {1}{3}}\right)\approx 70.52878^{\circ }}$
4–6: ${\displaystyle \arccos \left({\frac {\sqrt {3}}{3}}\right)\approx 54.73561^{\circ }}$
Related polytopes
ArmyCo
RegimentBocuco
ConjugateNone
Abstract & topological properties
Flag count80
OrientableYes
Properties
SymmetryK3, order 8
Flag orbits10
ConvexNo
NatureTame

The bowtie cut cuboctahedron (OBSA: bocuco) is a nonconvex orbiform polyhedron and an edge-faceting of the cuboctahedron. Its faces are 4 triangles, 4 squares, and 2 hexagons. It is the blend of the cuboctahedron and the elongated bowtie tegum.

Vertex coordinates

Its vertices are the same as those of the cuboctahedron.