Translative packing of a square with sequences of squares

Janusz Januszewski

Colloquium Mathematicae (2010)

  • Volume: 121, Issue: 2, page 273-280
  • ISSN: 0010-1354

Abstract

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Let S be a square and let S' be a square of unit area with a diagonal parallel to a side of S. Any (finite or infinite) sequence of homothetic copies of S whose total area does not exceed 4/9 can be packed translatively into S'.

How to cite

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Janusz Januszewski. "Translative packing of a square with sequences of squares." Colloquium Mathematicae 121.2 (2010): 273-280. <http://eudml.org/doc/283877>.

@article{JanuszJanuszewski2010,
abstract = {Let S be a square and let S' be a square of unit area with a diagonal parallel to a side of S. Any (finite or infinite) sequence of homothetic copies of S whose total area does not exceed 4/9 can be packed translatively into S'.},
author = {Janusz Januszewski},
journal = {Colloquium Mathematicae},
keywords = {on-line packing; square; translation},
language = {eng},
number = {2},
pages = {273-280},
title = {Translative packing of a square with sequences of squares},
url = {http://eudml.org/doc/283877},
volume = {121},
year = {2010},
}

TY - JOUR
AU - Janusz Januszewski
TI - Translative packing of a square with sequences of squares
JO - Colloquium Mathematicae
PY - 2010
VL - 121
IS - 2
SP - 273
EP - 280
AB - Let S be a square and let S' be a square of unit area with a diagonal parallel to a side of S. Any (finite or infinite) sequence of homothetic copies of S whose total area does not exceed 4/9 can be packed translatively into S'.
LA - eng
KW - on-line packing; square; translation
UR - http://eudml.org/doc/283877
ER -

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