# 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.

 VertexSymbol WythoffSymbol No. ofVertices No. ofEdges {3}Faces {6}Faces SymmetryGroup Dual Polyhedron 3.6.6 2 3 | 3 12 18 4 4 S4 Triakis Tetrahedron

Edge ratios:

• e/rho = (2sqrt(2))/3
• e/R = (2 sqrt(22))/11
• e/(e_4^-) = 1/5
• e/(e_4^+) = 1/3

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.