Gregory R. Chambers

collaborators

2 papers

math.DG2024

On the relative isoperimetric problem for the cube

Gregory R. Chambers, Lawrence MouillÃ©

In this article, we solve the relative isoperimetric problem in $[0, 1]^{3}$ for orthogonal polyhedra. Up to isometries of the cube or sets of measure $0$ , the minimizers are of the f…

math.MG2024

A note on the affine-invariant plank problem

Suppose that $C$ is a bounded, convex subset of $R^{n}$ , and that $P_{1}, \dots, P_{k}$ are planks which cover $C$ in respective directions $v_{1}, \dots, v_{k}$ and with widths $w_…