Difference between revisions of "Tetrahedral space"
From Encyclopedia of Mathematics
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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 $R^3=S^3=(RS)^2$. | + | 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==== | ====References==== | ||
| − | + | * {{Ref|a1}} H.S.M. Coxeter, "Regular complex polytopes", Cambridge Univ. Press (1991) pp. 76 {{ZBL|0732.51002}} | |
Latest revision as of 13:54, 8 April 2023
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=51422
Tetrahedral space. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Tetrahedral_space&oldid=51422
This article was adapted from an original article by M.I. Voitsekhovskii (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article