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JOURNALS // Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports] // Archive

Sib. Èlektron. Mat. Izv., 2020 Volume 17, Pages 1009–1012 (Mi semr1269)

This article is cited in 1 paper

Discrete mathematics and mathematical cybernetics

A note on perfect packing of $d$-dimensional cubes

J. Januszewski, Ł. Zielonka

Institute of Mathematics and Physics, UTP University of Science and Technology, 7, Al. Prof. S. Kaliskiego, 85-789 Bydgoszcz, Poland

Abstract: The $d$-dimensional cubes of edges of length $\ 1, 2^{-t}, 3^{-t}, 4^{-t},\ldots $ can be packed perfectly into a $d$-dimensional box, provided $\ 1/d < t \le 2^{d-1}/(d2^{d-1}-1)$.

Keywords: packing, tiling, $d$-cube.

UDC: 514.174

MSC: 52C17,~52C22

Received July 6, 2020, published July 23, 2020

Language: English

DOI: 10.33048/semi.2020.17.075



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© Steklov Math. Inst. of RAS, 2024