Highly Influential

- Published 2014 in Discrete & Computational Geometry
DOI:10.1007/s00454-014-9617-2

We establish an isoperimetric inequality with constraint by ndimensional lattices. We prove that, among all domains which consist of rectangular parallelepipeds with the common side-lengths, a cube is the best shape to minimize the ratio involving its perimeter and volume as long as the cube is realizable by the lattice. For its proof a solvability of… CONTINUE READING

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