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math.DG2026
The relative isoperimetric profile of a unit square with a central square removed
Kyle Byassee, Hunter Johnson, Brandon Jones +1
We calculate the exact values of the relative isoperimetric profile for a unit square with a central square removed. In other words, given a removed central square of a fixed size,…
math.DG2026
Remarks on the relative isoperimetric profile of polygonal domains in
Jason DeVito, Robert DeYeso, Ezra Nance +1
We develop techniques for solving the relative isoperimetric problem on polygonal domains in , with special attention paid to corners. As an application, we solve the…