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Difference between revisions of "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 $R^3=S^3=(RS)^2$.
 
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====Comments====
 
  
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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 $R^3=S^3=(RS)^2$.
  
 
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<table><TR><TD valign="top">[a1]</TD> <TD valign="top">  H.S.M. Coxeter,   "Regular complex polytopes" , Cambridge Univ. Press (1991) pp. 76</TD></TR></table>
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* {{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=32913
This article was adapted from an original article by M.I. Voitsekhovskii (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article
Retrieved from "https://encyclopediaofmath.org/index.php?title=Tetrahedral_space&oldid=53663"