Abstract

We present the problem stated in intuitive language as problem 2 at the 52nd International Mathematical Olympiad as a formal statement, and prove that it is valid in ordered regular incidence planes, the weakest ordered geometry whose models can be embedded in projective ordered planes.

Original languageEnglish (US)
Pages (from-to)113-121
Number of pages9
JournalIndagationes Mathematicae
Volume25
Issue number1
DOIs
StatePublished - Jan 5 2014

Keywords

  • Ordered regular incidence planes
  • Purity of the method
  • Windmill problem

ASJC Scopus subject areas

  • Mathematics(all)

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