Counting Parallel Segments: New Variants of Pick’s Area Theorem

Alexander Belyaev, Pierre-Alain Fayolle

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Abstract

New variants of Pick's Area Formula for lattice polygons are proposed. They are based on a proper counting of parallel lattice segments contained in and intersecting a given lattice polygon. An extension to 3D lattice polyhedra is also considered.
Original languageEnglish
Pages (from-to)1-7
Number of pages7
JournalThe Mathematical Intelligencer
Volume41
Issue number4
Early online date8 Aug 2019
DOIs
Publication statusPublished - Dec 2019

ASJC Scopus subject areas

  • Mathematics(all)
  • History and Philosophy of Science

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