Packing of non-blocking four-dimensional cubes into the unit cube
Janusz Januszewski; Łukasz Zielonka
Archivum Mathematicum (2024)
- Volume: 060, Issue: 3, page 153-162
- ISSN: 0044-8753
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topJanuszewski, Janusz, and Zielonka, Łukasz. "Packing of non-blocking four-dimensional cubes into the unit cube." Archivum Mathematicum 060.3 (2024): 153-162. <http://eudml.org/doc/299589>.
@article{Januszewski2024,
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.},
author = {Januszewski, Janusz, Zielonka, Łukasz},
journal = {Archivum Mathematicum},
keywords = {packing; cube},
language = {eng},
number = {3},
pages = {153-162},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Packing of non-blocking four-dimensional cubes into the unit cube},
url = {http://eudml.org/doc/299589},
volume = {060},
year = {2024},
}
TY - JOUR
AU - Januszewski, Janusz
AU - Zielonka, Łukasz
TI - Packing of non-blocking four-dimensional cubes into the unit cube
JO - Archivum Mathematicum
PY - 2024
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 060
IS - 3
SP - 153
EP - 162
AB - 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.
LA - eng
KW - packing; cube
UR - http://eudml.org/doc/299589
ER -
References
top- Januszewski, J., 10.1023/A:1005263703808, Geom. Dedicata 8 (2000), 13–18. (2000) MR1772192DOI10.1023/A:1005263703808
- Januszewski, J., Zielonka, Ł., Packing a triangle by sequences of its non-blocking homothetic copies, Period. Math. Hung., accepted. MR1694593
- Januszewski, J., Zielonka, Ł., 10.1007/s13366-023-00710-1, Beiträge Algebra Geom., https://doi.org/10.1007/s13366-023-00710-1. MR4779543DOI10.1007/s13366-023-00710-1
- Januszewski, J., Zielonka, Ł., 10.4064/cm9006-12-2023, Colloq. Math., https://doi.org/10.4064/cm9006-12-2023. DOI10.4064/cm9006-12-2023
- Januszewski, J., Zielonka, Ł., 10.4064/ba230215-21-6, Bull. Pol. Acad. Sci. Math. 71 (2023), 85–95. (2023) MR4622411DOI10.4064/ba230215-21-6
- Meir, A., Moser, L., 10.1016/S0021-9800(68)80047-X, J. Combin. Theory 5 (1968), 126–134. (1968) MR0229142DOI10.1016/S0021-9800(68)80047-X
- Moon, J.W., Moser, L., 10.4064/cm-17-1-103-110, Colloq. Math. 17 (1967), 103–110. (1967) Zbl0152.39502MR0215197DOI10.4064/cm-17-1-103-110
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