Packing of non-blocking four-dimensional cubes into the unit cube

Janusz Januszewski and Łukasz Zielonka

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

E-mail: januszew@pbs.edu.pl lukasz.zielonka@pbs.edu.pl

Abstract: Any collection of non-blocking four-dimensional cubes, whose total volume does not exceed 17/81, can be packed into the unit four-dimensional cube. This bound is tight for the parallel packing.

AMSclassification: primary 52C17.

Keywords: packing, cube.

DOI: 10.5817/AM2024-3-153