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math.AP2025
Existence of a non-standard isoperimetric triple partition
Matteo Novaga, Emanuele Paolini, Vincenzo Maria Tortorelli
We show existence of a isoperimetric -partition of , with one set of finite volume and two of infinite volume, which is asymptotic to a singular minimal cone.
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.,…