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

Alexander Belyaev*, Pierre-Alain Fayolle

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)
89 Downloads (Pure)


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
Issue number4
Early online date8 Aug 2019
Publication statusPublished - Dec 2019

ASJC Scopus subject areas

  • Mathematics(all)
  • History and Philosophy of Science


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