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Packing of non-blocking squares into the unit square

Volume 175 / 2024

Janusz Januszewski, Łukasz Zielonka Colloquium Mathematicum 175 (2024), 155-162 MSC: Primary 52C15 DOI: 10.4064/cm9006-12-2023 Published online: 4 March 2024

Abstract

Any collection of non-blocking squares with total area not greater than 5/9 can be packed into the unit square.

Authors

  • Janusz JanuszewskiInstitute of Mathematics and Physics
    Bydgoszcz University of Science and Technology
    85-789 Bydgoszcz, Poland
    e-mail
  • Łukasz ZielonkaInstitute of Mathematics and Physics
    Bydgoszcz University of Science and Technology
    85-789 Bydgoszcz, Poland
    e-mail

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