One of the symmetry groups of the Platonic solids. There are three polyhedral groups: the tetrahedral group of order 12, the octahedral group of order 24, and the icosahedral group of order 60.

# Polyhedral Group

## See also

Icosahedral Group, Octahedral Group, Platonic Solid, Polyhedral Graph, Tetrahedral Group## Explore with Wolfram|Alpha

## References

Coxeter, H. S. M. "The Polyhedral Groups." §3.5 in*Regular Polytopes, 3rd ed.*New York: Dover, pp. 46-47, 1973. Pegg, E. "Making Polyhedra with Polyhedral Group." http://library.wolfram.com/infocenter/MathSource/4807/.

## Referenced on Wolfram|Alpha

Polyhedral Group## Cite this as:

Weisstein, Eric W. "Polyhedral Group."
From *MathWorld*--A Wolfram Web Resource. https://mathworld.wolfram.com/PolyhedralGroup.html