Schwarz Triangle
The Schwarz triangles are Spherical Triangles which, by repeated reflection in their indices,lead to a set of congruent Spherical Triangles covering the Sphere a finite number oftimes.
Schwarz triangles are specified by triples of numbers 
. There are four ``families'' of Schwarz triangles, and thelargest triangles from each of these families are
The others can be derived from
where
and
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See also Colunar Triangle, Spherical Triangle
References
Coxeter, H. S. M. Regular Polytopes, 3rd ed. New York: Dover, pp. 112-113 and 296, 1973. Schwarz, H. A. ``Zur Theorie der hypergeometrischen Reihe.'' J. reine angew. Math. 75, 292-335, 1873.
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