Tetrahedral space

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


  • [a1] H.S.M. Coxeter, "Regular complex polytopes", Cambridge Univ. Press (1991) pp. 76 Zbl 0732.51002
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Tetrahedral space. Encyclopedia of Mathematics. URL:
This article was adapted from an original article by M.I. Voitsekhovskii (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article