Fano plane

English thumb|A diagram of the finite projective plane , a.k.a. Fano plane. (In this presentation of it, the labels are vectors over the finite field ; vectors on the same line are linearly dependent. Vectors whose third component is zero are “at infinity”, whereas the ones whose third component is one form a 2×2 array, suggestive of .)|350px Etymology Named after Gino Fano (1871–1952), an Italian mathematician. Noun en geometry The finite projective plane of order 2, having the smallest possible number of points and lines, 7 each, with 3 points on every line and 3 lines through every point. en Manifolds Surfaces Seven en eponyms