High Quality Content by WIKIPEDIA articles! In geometry, a Schwarz triangle is a spherical triangle that can be used to tile a sphere. Each Schwarz triangle defines a finite group — its triangle group. A Schwarz triangle is represented by three rational numbers (p q r) each representing the angle at a vertex. The value n/d means the vertex angle is d/n of the half-circle. "2" means a right triangle. A Schwarz triangle is represented graphically by a triangular graph. Each node represents an edge (mirror) of the Schwarz triangle. Each edge is labeled by a rational value corresponding to the reflection order, being ?/vertex angle.

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