A+ CATEGORY SCIENTIFIC UNIT

PDF files of articles are only available for institutions which have paid for the online version upon signing an Institutional User License.

Reserve in packing cubes into the unit cube

Volume 71 / 2023

Janusz Januszewski, Łukasz Zielonka Bulletin Polish Acad. Sci. Math. 71 (2023), 85-95 MSC: Primary 52C17; Secondary 52C15. DOI: 10.4064/ba230215-21-6 Published online: 29 June 2023

Abstract

Any collection of $d$-dimensional cubes of total volume not greater than $2^{1-d}$ can be packed into the unit $d$-dimensional cube $I^d$ so that the uncovered part of $I^d$ contains a cube of edge length $1-\sqrt[d]{2}/2$. To achieve this result, the well-known packing method described by Meir and Moser is used.

Authors

  • Janusz JanuszewskiInstitute of Mathematics and Physics
    Bydgoszcz University of Science and Technology
    85-789 Bydgoszcz, Poland
    ORCID: 0000-0001-5096-9838
    e-mail
  • Łukasz ZielonkaInstitute of Mathematics and Physics
    Bydgoszcz University of Science and Technology
    85-789 Bydgoszcz, Poland
    ORCID: 0000-0002-6278-8599
    e-mail

Search for IMPAN publications

Query phrase too short. Type at least 4 characters.

Rewrite code from the image

Reload image

Reload image