Fano plane
English
![](Images/wiktionary/Fano_Plane_P2(F2).png.webp)
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 2x2 array, suggestive of .)
Etymology
Named after Gino Fano (1871–1952), an Italian mathematician.
Noun
Fano plane (plural Fano planes)
- (finite 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.