The Truncated Tetrahedron

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

The truncated tetrahedron is one of the thirteen archimedian solids. It can be created by slicing off a suitable section from each vertex of a regular tetrahedron.

Vertex
Symbol
Wythoff
Symbol
No. of
Vertices
No. of
Edges
{3}
Faces
{6}
Faces
Symmetry
Group
Dual Polyhedron
3.6.6 2 3 | 3 12 18 4 4 S4 Triakis Tetrahedron

Edge ratios:

where `e` is the edge length, `rho` is the inter-radius, `R` is the circum-radius, `e_4^-` is the edge of the inner tetrahedron, and `e_4^+` is the edge of the outer tetrahedron.