# 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 | S_{4} |
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.