subplane

Noun

Meaning

subplane (plural subplanes)

(mathematics) A plane making up part of another plane.

Anagrams

Examples

Fano subplanes A Fano subplane is a subplane isomorphic to PG(2,2), the unique projective plane of order 2. If you consider a quadrangle (a set of 4 points no three collinear) in this plane, the points determine six of the lines of the plane. Source: Internet

Every point of the plane lies on a line of a Baer subplane and every line of the plane contains a point of the Baer subplane. Source: Internet

An open question is: Does every non-desarguesian plane contain a Fano subplane? Source: Internet

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