Reserve in packing cubes into the unit cube
Tom 71 / 2023
Bulletin Polish Acad. Sci. Math. 71 (2023), 85-95
MSC: Primary 52C17; Secondary 52C15.
DOI: 10.4064/ba230215-21-6
Opublikowany online: 29 June 2023
Streszczenie
Any collection of -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.
