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I am having a hard time finding references (apart from wikipedia) for the geometric interpretation of triangle groups $T_{a,b,c} = \langle x,y \mid |x|=a, |y|=b, |xy|=c \rangle$. How can these groups be visualized in the Euclidean, spherical and hyperbolic cases?

Many thanks in advance!

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    $\begingroup$ You can see Magnus' book, Noneuclidean tesselations and their groups. $\endgroup$
    – Seirios
    Commented Apr 24, 2014 at 6:05
  • $\begingroup$ Jeff Weeks' Kalediotile is a program that handles visualization of the action of these groups as well. It's available here: geometrygames.org/KaleidoTile/index.html $\endgroup$
    – Neil Hoffman
    Commented Apr 24, 2014 at 7:36

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