Gino Fano

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Gino Fano
Gino Fano.jpg
Born (1871-01-05)5 January 1871
Mantua, Italy
Died 8 November 1952(1952-11-08) (aged 81)
Verona, Italy
Nationality Italian
Fields Mathematics

Gino Fano (5 January 1871 – 8 November 1952) was an Italian mathematician. He was born in Mantua, Italy and died in Verona, Italy.

Fano worked on projective and algebraic geometry; the Fano postulate, Fano plane, Fano fibration, Fano surface, and Fano varieties are named for him. His work in the foundations of geometry predates the similar, but more popular, work of David Hilbert by about a decade.

Fano is considered the "Father of Finite Geometry". In his article[1] on proving the independence of his set of axioms for projective n-space,[2] he produced a finite three-dimensional space with 15 points, 35 lines and 15 planes, in which each line had only three points on it.[3] The planes in this space consisted of seven points and seven lines and are now known as Fano planes:

Fano Plane (7 points and 7 lines)

Ugo Fano and Robert Fano were his sons.

In 1907 Gino Fano contributed two articles to Part III of Klein's encyclopedia. The first (SS. 221–88) was a comparison of analytic geometry and synthetic geometry through their historic development in the 19th century. The second (SS. 282–388) was on continuous groups in geometry and group theory as a unifying principle in geometry.


  1. ^ Fano, G. (1892), "Sui postulati fondamentali della geometria proiettiva", Giornale di Matematiche 30: 106–132 
  2. ^ Collino, Conte & Verra 2013, p. 6
  3. ^ Malkevitch Finite Geometries? an AMS Featured Column


  • Collino, Alberto; Conte, Alberto; Verra, Alessandro (2013). "On the life and scientific work of Gino Fano". arXiv:1311.7177. 

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