Title
Almost-Tiling the Plane by Ellipses
Abstract
For any delta > 1 we construct a periodic and locally finite packing of the plane with ellipses whose delta-enlargement covers the whole plane. This answers a question of Imre B\'ar\'any. On the other hand, we show that if C is a packing in the plane with circular discs of radius at most 1, then its 1.00001-enlargement covers no square with side length 4.
Year
DOI
Venue
1999
10.1007/PL00009466
Discrete & Computational Geometry
Field
DocType
Volume
Combinatorics,Plane curve,Ellipse,Geometry,Periodic graph (geometry),Mathematics
Journal
22
Issue
ISSN
Citations 
3
0179-5376
3
PageRank 
References 
Authors
0.51
0
4
Name
Order
Citations
PageRank
Krystyna Kuperberg131.53
W. Kuperberg2216.34
Jirí Matousek376376.77
Pavel Valtr439777.30