Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. 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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