Sciweavers

DCG
2006

Isodiametric Problems for Polygons

13 years 11 months ago
Isodiametric Problems for Polygons
The maximal area of a polygon with n = 2m edges and unit diameter is not known when m 5, nor is the maximal perimeter of a convex polygon with n = 2m edges and unit diameter known when m 4. We construct improved polygons in both problems, and show that the values we obtain cannot be improved for large n by more than c1/n3 in the area problem and c2/n5 in the perimeter problem, for certain constants c1 and c2.
Michael J. Mossinghoff
Added 11 Dec 2010
Updated 11 Dec 2010
Type Journal
Year 2006
Where DCG
Authors Michael J. Mossinghoff
Comments (0)