| Mate Bezdek
Planets Guarded by Satellites
| Division: | Physical & Mathematical Sciences | | Category: | Junior | | 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
Junior
Sponsor: Canadian Mathematical Society | $250.00 | The University of Western Ontario Scholarship
Gold Medallist - $2000 Entrance Scholarship
Sponsor: University of Western Ontario | $2 000.00 | Gold Medal - Physical & Mathematical Sciences
Junior
Sponsor: Encana Corporation | $1 500.00 | | Total | $3 750.00 | |
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