## FANDOM

1,022 Pages

For the academic journal, see Tetrahedron (journal).
Regular Tetrahedron

TypePlatonic solid
ElementsF = 4, E = 6
V = 4 (χ = 2)
Faces by sides4{3}
Schläfli symbol{3,3} and s{2,2}
Wythoff symbol3 | 2 3
| 2 2 2
Coxeter-Dynkin

SymmetryTd
or (*332)
ReferencesU01, C15, W1
PropertiesRegular convex deltahedron
Dihedral angle70.528779° = arccos(1/3)

3.3.3
(Vertex figure)

Self-dual
(dual polyhedron)

Net

A tetrahedron (plural: tetrahedra) is a polyhedron composed of four triangular faces, three of which meet at each vertex. A regular tetrahedron is one in which the four triangles are regular, or "equilateral", and is one of the Platonic solids.

The tetrahedron is one kind of pyramid, which is a polyhedron with a flat polygon base and triangular faces connecting the base to a common point. In the case of a tetrahedron the base is a triangle (any of the four faces can be considered the base), so a tetrahedron is also known as triangular pyramid or Digonal Deltahedron.

## Formulas for regular tetrahedron

The volume is $V=\frac{\sqrt3}{12}S^3$

The surface area is $SA=\sqrt3S^2$