László Fejes Tóth

László Fejes Tóth
László Fejes Tóth, 1991
Born
László Tóth

(1915-03-12)12 March 1915
Szeged, Hungary
Died17 March 2005(2005-03-17) (aged 90)
Budapest, Hungary
AwardsKossuth Prize (1957), State Award (1973), Gauss Bicentennial Medal (1977), and Gold Medal of the Hungarian Academy of Sciences (2002)
Academic background
Alma materPázmány Péter University, as of 1950 Eötvös Loránd University
Academic work
Main interestsDiscrete and combinatorial geometry
Notable worksLagerungen in der Ebene, auf der Kugel und im Raum; Regular Figures
Notable ideasTheorems on packings and coverings of geometrical objects, including the packing of spheres
InfluencedThomas Hales, Károly Bezdek

László Fejes Tóth (Hungarian: Fejes Tóth László, pronounced [ˈfɛjɛʃ ˈtoːt ˈlaːsloː]; 12 March 1915 – 17 March 2005) was a Hungarian mathematician who specialized in geometry. He proved that a lattice pattern is the most efficient way to pack centrally symmetric convex sets on the Euclidean plane (a generalization of Thue's theorem, a 2-dimensional analog of the Kepler conjecture). He also investigated the sphere packing problem. He was the first to show, in 1953, that proof of the Kepler conjecture can be reduced to a finite case analysis and, later, that the problem might be solved using a computer.

He was a member of the Hungarian Academy of Sciences (from 1962) and a director of the Alfréd Rényi Institute of Mathematics (1970-1983). He received both the Kossuth Prize (1957) and State Award (1973).

Together with H.S.M. Coxeter and Paul Erdős, he laid the foundations of discrete geometry.