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:

    Masturbation is not only an expression of self-regard: it is also the natural emotional outlet of those who ... have already accepted as inevitable the wide gulf between their real futures and the expectations of their fantasies.
    Quentin Crisp (b. 1908)

    Good friends, good books and a sleepy conscience: this is the ideal life.
    Mark Twain [Samuel Langhorne Clemens] (1835–1910)

    Just as a person who is always asserting that he is too good-natured is the very one from whom to expect, on some occasion, the coldest and most unconcerned cruelty, so when any group sees itself as the bearer of civilization this very belief will betray it into behaving barbarously at the first opportunity.
    Simone Weil (1910–1943)