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research article
Piercing quasi-rectangles-On a problem of Danzer and Rogers
It is an old problem of Danzer and Rogers to decide whether it is possible to arrange 0(1/epsilon) points in the unit square so that every rectangle of area epsilon > 0 within the unit square contains at least one of them. We show that the answer to this question is in the negative if we slightly relax the notion of rectangles, as follows.
Type
research article
Web of Science ID
WOS:000305820200001
Authors
Publication date
2012
Publisher
Published in
Volume
119
Issue
7
Start page
1391
End page
1397
Peer reviewed
REVIEWED
EPFL units
Available on Infoscience
July 27, 2012
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