# Tetrahedral space

From Encyclopedia of Mathematics

(Redirected from Binary tetrahedral group)

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 $R^3=S^3=(RS)^2$.

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#### References

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

**How to Cite This Entry:**

Binary tetrahedral group.

*Encyclopedia of Mathematics.*URL: http://encyclopediaofmath.org/index.php?title=Binary_tetrahedral_group&oldid=42317