# Tetrahedral space

From Encyclopedia of Mathematics

The three-dimensional space which is the orbit space of the action of the binary tetrahedral group on the three-dimensional sphere. This group is presented by generators $R$, $S$ and relations $R^3=S^3=(RS)^2$.

#### References

- [a1] H.S.M. Coxeter, "Regular complex polytopes", Cambridge Univ. Press (1991) pp. 76 Zbl 0732.51002

**How to Cite This Entry:**

Tetrahedral space.

*Encyclopedia of Mathematics.*URL: http://encyclopediaofmath.org/index.php?title=Tetrahedral_space&oldid=53663

This article was adapted from an original article by M.I. Voitsekhovskii (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article