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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2020, Volume 17, Pages 1009–1012
DOI: https://doi.org/10.33048/semi.2020.17.075 (Mi semr1269) 		 
This article is cited in 1 scientific paper (total 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
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DOI: https://doi.org/10.33048/semi.2020.17.075
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.
Received July 6, 2020, published July 23, 2020
Bibliographic databases:
Document Type: Article
UDC: 514.174
MSC: 52C17,~52C22
Language: English
Citation: J. Januszewski, Ł. Zielonka, “A note on perfect packing of $d$-dimensional cubes”, Sib. Èlektron. Mat. Izv., 17 (2020), 1009–1012
Citation in format AMSBIB
\Bibitem{JanZie20}
\by J.~Januszewski, \L .~Zielonka
\paper A note on perfect packing of $d$-dimensional cubes
\jour Sib. \`Elektron. Mat. Izv.
\yr 2020
\vol 17
\pages 1009--1012
\mathnet{http://mi.mathnet.ru/semr1269}
\crossref{https://doi.org/10.33048/semi.2020.17.075}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000552306400001}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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