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Periodic partitions with minimal perimeter , Nonlinear Anal · 2024

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math.MG 1

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2025 1

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CONDITIONAL 1

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Periodic double tilings of the plane

math.MG · 2025-02-12 · conditional · novelty 7.0

For periodic tilings of the plane with two different tile areas, the minimal-interface configurations are exactly three shapes: a pair of hexagons, a curved rectangle with a chipped parallelogram, or a Reuleaux triangle with a chipped hexagon.

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  • Periodic double tilings of the plane math.MG · 2025-02-12 · conditional · none · ref 5

    For periodic tilings of the plane with two different tile areas, the minimal-interface configurations are exactly three shapes: a pair of hexagons, a curved rectangle with a chipped parallelogram, or a Reuleaux triangle with a chipped hexagon.