Ideal Triangle - Real Ideal Triangle Group

Real Ideal Triangle Group

The real ideal triangle group is the reflection group generated by reflections of the hyperbolic plane through the sides of an ideal triangle. Algebraically, it is isomorphic to the free product of three order-two groups (Schwarz 2001).

Read more about this topic:  Ideal Triangle

Famous quotes containing the words real, ideal and/or group:

    Some people are so extremely whiffling and inconsiderable that they are as far from any real faults as from substantial virtues.
    François, Duc De La Rochefoucauld (1613–1680)

    Many Americans imagine simpler times even as a storm of social change swirls about, blowing parents here and children there. Sure, the 1950s ideal world would be wonderful. But knock on the nation’s doors: Ozzie and Harriet are seldom at home.
    Leslie Dreyfous (20th century)

    The poet who speaks out of the deepest instincts of man will be heard. The poet who creates a myth beyond the power of man to realize is gagged at the peril of the group that binds him. He is the true revolutionary: he builds a new world.
    Babette Deutsch (1895–1982)