The Tetrahedron

A polyhedron bounded by four equilateral triangles; three meeting at each vertex.

The tetrahedron is one of the five platonic solids, and is the only regular polyhedron to be self-dual.

Vertex
Symbol
Wythoff
Symbol
No. of
Vertices
No. of
Edges
No. of
Faces
Symmetry
Group
Dual Polyhedron
33 3 | 2 3 4 6 4 S4 Tetrahedron

Edge ratios:

where `e` is the edge length, `r` is the in-radius, `rho` is the inter-radius, and `R` is the circum-radius.