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.


Published in:
Journal of Combinatorial Theory, Series A, 119, 7, 1391-1397
Year:
2012
Publisher:
Elsevier
ISSN:
0097-3165
Keywords:
Laboratories:




 Record created 2012-07-27, last modified 2018-09-13


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