Translative packing of a convex body by sequences of its homothetic copies

Janusz Januszewski

Archivum Mathematicum (2008)

  • Volume: 044, Issue: 2, page 89-92
  • ISSN: 0044-8753

Abstract

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Every sequence of positive or negative homothetic copies of a planar convex body C whose total area does not exceed 0 . 175 times the area of C can be translatively packed in C .

How to cite

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Januszewski, Janusz. "Translative packing of a convex body by sequences of its homothetic copies." Archivum Mathematicum 044.2 (2008): 89-92. <http://eudml.org/doc/250439>.

@article{Januszewski2008,
abstract = {Every sequence of positive or negative homothetic copies of a planar convex body $C$ whose total area does not exceed $0.175$ times the area of $C$ can be translatively packed in $C$.},
author = {Januszewski, Janusz},
journal = {Archivum Mathematicum},
keywords = {translative packing; convex body; translative packing; convex body},
language = {eng},
number = {2},
pages = {89-92},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Translative packing of a convex body by sequences of its homothetic copies},
url = {http://eudml.org/doc/250439},
volume = {044},
year = {2008},
}

TY - JOUR
AU - Januszewski, Janusz
TI - Translative packing of a convex body by sequences of its homothetic copies
JO - Archivum Mathematicum
PY - 2008
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 044
IS - 2
SP - 89
EP - 92
AB - Every sequence of positive or negative homothetic copies of a planar convex body $C$ whose total area does not exceed $0.175$ times the area of $C$ can be translatively packed in $C$.
LA - eng
KW - translative packing; convex body; translative packing; convex body
UR - http://eudml.org/doc/250439
ER -

References

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  1. Böröczky, Jr., Finite packing and covering, Cambridge Tracts in Mathematics, Cambridge University Press, Cambridge 154 (2004). (2004) Zbl1061.52011MR2078625
  2. Januszewski, J., 10.1007/s10998-006-0010-7, Period. Math. Hungar. 52 (2) (2006), 27–30. (2006) Zbl1127.52023MR2265648DOI10.1007/s10998-006-0010-7
  3. Januszewski, J., 10.1007/s10474-007-6121-7, Acta Math. Hungar. 117 (4) (2007), 349–360. (2007) Zbl1174.52010MR2357419DOI10.1007/s10474-007-6121-7
  4. Lassak, M., 10.1007/BF01263495, Geom. Dedicata 47 (1993), 111–117. (1993) Zbl0779.52007MR1230108DOI10.1007/BF01263495
  5. 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
  6. Moon, J. W., Moser, L., Some packing and covering theorems, Colloq. Math. 17 (1967), 103–110. (1967) Zbl0152.39502MR0215197
  7. Novotny, P., A note on packing clones, Geombinatorics 11 (1) (2001), 29–30. (2001) Zbl1005.52010MR1837580

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