Tetrapod-cut rhombicuboctahedron

Tetrapod-cut rhombicuboctahedron
Rank	3
Type	Orbiform
Space	Spherical
Notation
Bowers style acronym	Tepcus
Elements
Faces	8 triangles 2+4 squares 4 octagons
Edges	8+8+8+16
Vertices	8+16
Vertex figure	8 (4.8.3/2.8) 16 (3.4.8)
Measures (edge length 1)
Circumradius	$\frac{\sqrt{5+2\sqrt2}}2 \approx 1.39896632597$
Volume	$\frac{2\sqrt2}3 \approx 0.94280904158$
Number of external pieces	26
Related polytopes
Conjugate	Cross-hatch great cubicuboctahedron
Convex hull	Small rhombicuboctahedron
Convex core	Square prism
Abstract & topological properties
Orientable	Yes
Properties
Symmetry	B2×A1, order 16
Convex	No
Nature	Tame

The tetrapod-cut rhombicuboctahedron is an orbiform polyhedron. It consists of 8 triangles, 6 squares, and 4 octagons. It can be constructed as a blend of a small cubicuboctahedron with an octagonal prism. It appears as a cell in shado and scapto.

External links

• Klitzing, Richard. "tepcus".