Erdös’ Distinct Distances Problem Cover Image
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Проблемът на Ердьош за различните разстояния
Erdös’ Distinct Distances Problem

Author(s): Houssam Zenati
Subject(s): Social Sciences, Education, Library and Information Science, School education, Vocational Education, Adult Education, Higher Education , Inclusive Education / Inclusion
Published by: Национално издателство за образование и наука „Аз-буки“
Keywords: geometry; the Erdös’ distinct distances problem; young students

Summary/Abstract: In discrete geometry, the Erdös’ distinct distances problem states that between n distinct points in a plane there are at least distinct distances. The problem was posed by Paul Erdös in 1946. In 2010, Larry Guth and Net Hawk Katz claimed to have a solution. The solution was published in 2015 in the Annals of Mathematics. This article aims at popularizing this problem to young students in mathematics, therefore no big background in mathematics is needed to understand it. It is open to every reader and shall be improved with any remarks or questions.

  • Issue Year: 60/2017
  • Issue No: 5
  • Page Range: 501-514
  • Page Count: 14
  • Language: English