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CWSF 2005 - Vancouver, British Columbia

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Mate Bezdek

Planets Guarded by Satellites
Division:Physical & Mathematical Sciences
Region:Calgary Youth
City:Calgary, AB
School:St. Brigid School
Abstract:I solve the satellite problem for arbitrary family of disjoint unit circles in the plane and for 2D-planets that are unions of close unit circles. In the space I prove Hadwiger’s satellite conjecture for fat 3D-planets and for 3D-planets that are unions of sufficiently close unit spheres.

Awards Value
Canadian Mathematical Society Award
Sponsor: Canadian Mathematical Society
The University of Western Ontario Scholarship
Gold Medallist - $2000 Entrance Scholarship
Sponsor: University of Western Ontario
$2 000.00
Gold Medal - Physical & Mathematical Sciences
Sponsor: Encana Corporation
$1 500.00
Total$3 750.00