Triangle group
Group realized geometrically by reflections across the sides of a triangle / From Wikipedia, the free encyclopedia
Dear Wikiwand AI, let's keep it short by simply answering these key questions:
Can you list the top facts and stats about Triangle group?
Summarize this article for a 10 year old
SHOW ALL QUESTIONS
This article is about a geometric concept. For Weihai, China-based tire manufacturing company, see Triangle Group.
In mathematics, a triangle group is a group that can be realized geometrically by sequences of reflections across the sides of a triangle. The triangle can be an ordinary Euclidean triangle, a triangle on the sphere, or a hyperbolic triangle. Each triangle group is the symmetry group of a tiling of the Euclidean plane, the sphere, or the hyperbolic plane by congruent triangles called Möbius triangles, each one a fundamental domain for the action.
This article needs additional citations for verification. (April 2010) |