Fano Plane - Steiner System

Steiner System

The Fano plane, as a block design, is a Steiner triple system. As such, it can be given the structure of a quasigroup. This quasigroup coincides with the multiplicative structure defined by the unit octonions e1, e2, ..., e7 (omitting 1) if the signs of the octonion products are ignored (Baez 2002).

Read more about this topic:  Fano Plane

Famous quotes containing the words steiner and/or system:

    It is not the literal past that rules us, save, possibly, in a biological sense. It is images of the past.... Each new historical era mirrors itself in the picture and active mythology of its past or of a past borrowed from other cultures. It tests its sense of identity, of regress or new achievement against that past.
    —George Steiner (b. 1929)

    To care for the quarrels of the past, to identify oneself passionately with a cause that became, politically speaking, a losing cause with the birth of the modern world, is to experience a kind of straining against reality, a rebellious nonconformity that, again, is rare in America, where children are instructed in the virtues of the system they live under, as though history had achieved a happy ending in American civics.
    Mary McCarthy (1912–1989)