3 papers
math.AP2026
Anisotropic isoperimetric double tilings of the plane
Francesco Nobili, Matteo Novaga, Emanuele Paolini
We study periodic partitions of the plane into two distinct cells minimizing the anisotropic -perimeter. For a rectangular lattice , we compute explicitly the $(G,\ell_1…
math.MG2025
Periodic double tilings of the plane
Francesco Nobili, Matteo Novaga, Emanuele Paolini
We study tilings of the plane composed of two repeating tiles of different assigned areas relative to an arbitrary periodic lattice. We classify isoperimetric configurations (i.e.,…
math.AP2024
Lattice tilings with minimal perimeter and unequal volumes
Francesco Nobili, Matteo Novaga
We study periodic tessellations of the Euclidean space with unequal cells arising from the minimization of perimeter functionals. Existence results and qualitative properties of mi…