László Fejes Tóth

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László Fejes Tóth (born March 12, 1915 in Szeged , † March 17, 2005 in Budapest ) was a Hungarian mathematician .

László Fejes Tóth, 1991.
Photo: Ludwig Danzer

Life

László Tóth is known for his work in the field of convex geometry and finite packing of spheres . In 1953 he was able to provide an important basis for the proof of Kepler's conjecture in a paper by reducing the problem to a complicated calculation. He also predicted that the evidence could probably only be computerized . This came true when Thomas Hales later submitted computer-aided evidence. Furthermore, he made the sausage presumption . His alternative honeycomb , which would save significantly less than a per thousand of the wax compared to the real one , also became well known . His honeycomb conjecture was proven by Thomas Hales, who used methods similar to those used in the proof of the Kepler conjecture . There he followed a path that Fejes Tóth himself had suggested for the solution of this conjecture.

Tóth was a professor in Budapest at the Alfred Renyi Institute of the Hungarian Academy of Sciences, which he headed from 1970 to 1982 after Renyi's death. In 1960/61 he was visiting professor at the Albert Ludwig University of Freiburg and in 1963/64 at the University of Wisconsin . László Fejes Tóth is the father of the well-known mathematician Gábor Fejes Tóth .

László Tóth was a corresponding member of the Saxon Academy of Sciences and the Braunschweingische Wissenschaftliche Gesellschaft , a foreign member of the Academy of Sciences of the GDR and a member of the Hungarian Academy of Sciences . On June 11, 1991 he was awarded an honorary doctorate from the University of Salzburg .

Works

László Fejes Tóth, Vienna 1987
Photo: Konrad Jacobs
  • Bearings in the plane, on the sphere and in space . 2., verb. u. exp. Springer, Berlin, Heidelberg, New York 1972, ISBN 0-387-05477-4 (XI, 238 pages). First edition Julius Springer Verlag 1953 (older standard work in this field).
  • Regular Figures . Pergamon Press, Oxford 1964 (XI, 339 pp.).
  • Regular figures . Publishing house of the Hungarian Academy of Sciences, Budapest 1965 (316 pages, 13 supplements in back pocket).

Individual evidence

  1. Heinrich Hemme: The mathematics of the honeycombs. In: Spektrum der Wissenschaft , February 2002, pp. 78–82
  2. Rényi Alfréd Matematikai Kutatóintézet - Alfréd Rényi Institute of Mathematics