Gino Fano

Gino Fano (5 January 1871 – 8 November 1952) was an Italian mathematician, best known as the founder of finite geometry.

Fano was an early writer in the area of finite projective spaces.

In his article[3] on proving the independence of his set of axioms for projective n-space,[4] among other things, he considered the consequences of having a fourth harmonic point be equal to its conjugate.

[3]: 114 All the planes in this space consist of seven points and seven lines and are now known as Fano planes: Fano went on to describe finite projective spaces of arbitrary dimension and prime orders.

In 1907 Gino Fano contributed two articles to Part III of Klein's encyclopedia.

Fano Plane (7 points and 7 lines)
Fano Plane (7 points and 7 lines)