The isoperimetric problem asks, among all figures with the same perimeter (iso-perimetric means ``same perimeter''), which has the greatest area. This paper proves the classic isoperimetric problem using a generalization of calibration techniques which we call metacalibration. We then generalize to arbitrary dimensions and to spherical spaces.
Gary Lawlor, Department of Mathematics Education, Brigham Young University firstname.lastname@example.org
"A Metacalibration Proof of the Isoperimetric Problem,"
Rose-Hulman Undergraduate Mathematics Journal: Vol. 11
, Article 2.
Available at: http://scholar.rose-hulman.edu/rhumj/vol11/iss2/2