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 ratios:

where `e` is the edge length, `rho` is the inter-radius, `R` is the circum-radius, `e_6` is the edge of the circumscribing cube, and `e_8` is the edge of the circumscribing octahedron.