The Truncated Cube

A semi-regular polyhedron with two octagons and a triangle meeting at each vertex.

The truncated cube is one of the thirteen archimedian solids. It can be created by slicing suitable sections off the vertices of either a cube or an octahedron and thus may be inscribed in either solid.

Vertex
Symbol
Wythoff
Symbol
No. of
Vertices
No. of
Edges
{3}
Faces
{8}
Faces
Symmetry
Group
Dual Polyhedron
3.8.8 2 3 | 4 24 36 8 6 S4×C2 Triakis Octahedron
Edge
Inter-Radius
= 2 – root2   Edge
Circum-Radius
= 2root(7 – 4root2)
root17
Edge
Cubic Edge
= root2 – 1   Edge
Octahedral Edge
= 3root2 – 4