A note on perfect packing of d-dimensional cubes

Authors

  • Janusz Januszewski Institute of Mathematics and Physics, UTP University of Science and Technology
  • Lukasz Zielonka Institute of Mathematics and Physics, UTP University of Science and Technology

Keywords:

packing, tiling, $d$-cube

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 $\ 1/d < t \le 2^{d-1}/(d2^{d-1}-1)$.

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Published

2020-07-23

Issue

Vol. 17 (2020)

Section

Discrete mathematics and mathematical cybernetics