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research article

A Stability Theorem On Cube Tessellations

Frankl, Peter
•
Pach, Janos  
January 1, 2018
Journal Of Computational Geometry

It is shown that if a d-dimensional cube is decomposed into n cubes, the side lengths of which belong to the interval (1 - n1/d+1; 1], then n is a perfect d-th power and all cubes are of the same size. This result is essentially tight.

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Type
research article
DOI
10.20382/jocg.v9i1a13
Web of Science ID

WOS:000457039000007

Author(s)
Frankl, Peter
Pach, Janos  
Date Issued

2018-01-01

Publisher

CARLETON UNIV, DEPT MATHEMATICS & STATISTICS

Published in
Journal Of Computational Geometry
Volume

9

Issue

1

Start page

387

End page

390

Subjects

Mathematics

•

decomposition

Editorial or Peer reviewed

REVIEWED

Written at

EPFL

EPFL units
DCG  
Available on Infoscience
June 18, 2019
Use this identifier to reference this record
https://infoscience.epfl.ch/handle/20.500.14299/157255
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