Acta Mathematica Hungarica
Volume/Issue:
Volume 125: Issue 3
Parallel packing and covering of an equilateral triangle with sequences of squares
Author:
J. Januszewski University of Technology and Life Sciences Institute of Mathematics and Physics ul. Kaliskiego 7 85-796 Bydgoszcz Poland

Search for other papers by J. Januszewski in
Current site
Google Scholar
PubMed Close
Pages:
249–260
Online Publication Date:
10 Jun 2009
Publication Date:
01 Nov 2009
Article Category:
Research Article
DOI:
https://doi.org/10.1007/s10474-009-9015-z
Keywords:
packing; covering; square; triangle; 52C15
Restricted access

Abstract  

An equilateral triangle Te of sides 1 can be parallel covered with any sequence of squares whose total area is not smaller than 1:5. Moreover, any sequence of squares whose total area does not exceed
\documentclass{aastex} \usepackage{amsbsy} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{bm} \usepackage{mathrsfs} \usepackage{pifont} \usepackage{stmaryrd} \usepackage{textcomp} \usepackage{upgreek} \usepackage{portland,xspace} \usepackage{amsmath,amsxtra} \usepackage{bbm} \pagestyle{empty} \DeclareMathSizes{10}{9}{7}{6} \begin{document} $$\frac{3} {4}(2 - \sqrt 3 )$$ \end{document}
(2 − √3) can be parallel packed into Te.
  • Collapse
  • Expand
Cover Acta Mathematica Hungarica
Acta Mathematica Hungarica
Print ISSN:
0236-5294
Online ISSN:
1588-2632

To see the editorial board, please visit the website of Springer Nature.

Manuscript Submission: HERE

For subscription options, please visit the website of Springer Nature.

Acta Mathematica Hungarica
Language English
Size B5
Year of
Foundation		 1950
Volumes
per Year		 3
Issues
per Year		 6
Founder Magyar Tudományos Akadémia  
Founder's
Address		 H-1051 Budapest, Hungary, Széchenyi István tér 9.
Publisher Akadémiai Kiadó
Springer Nature Switzerland AG
Publisher's
Address		 H-1117 Budapest, Hungary 1516 Budapest, PO Box 245.
CH-6330 Cham, Switzerland Gewerbestrasse 11.
Responsible
Publisher		 Chief Executive Officer, Akadémiai Kiadó
ISSN 0236-5294 (Print)
ISSN 1588-2632 (Online)

Monthly Content Usage

Abstract Views Full Text Views PDF Downloads
Apr 2024 5 0 0
May 2024 24 0 0
Jun 2024 4 0 0
Jul 2024 12 0 0
Aug 2024 9 0 0
Sep 2024 2 0 0
Oct 2024 0 0 0