We investigate isoperimetric regions in the 1st quadrant of the 2- dimensional lattice, where each point is weighted by the sum of its coordinates. We analyze the isoperimetric properties of six types of regions located in the first quadrant of the Cartesian
Frank Morgan, Department of Mathematics and Statistics Williams College Frank.Morgan@williams.edu
"Isoperimetric Regions on a Weighted 2-Dimensional Lattice,"
Rose-Hulman Undergraduate Mathematics Journal: Vol. 10
, Article 13.
Available at: http://scholar.rose-hulman.edu/rhumj/vol10/iss2/13