Parker Duncan

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20202024

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math.MG2024

The Double Bubble Problem in the Hexagonal Norm

Parker Duncan, Rory O'Dwyer, Eviatar B. Procaccia

We study the double bubble problem where the perimeter is taken with respect to the hexagonal norm, i.e. the norm whose unit circle in $R^{2}$ is the regular hexagon. We pro…

math.MG2021

Discrete $ℓ^{1}$ Double Bubble solution is at most ceiling +2 of the continuous solution

Parker Duncan, Rory O'Dwyer, Eviatar B. Procaccia

In this paper we show that the solution of the discrete Double Bubble problem over $Z^{2}$ is at most the ceiling function plus two of the continuous solution to the Double…

The Double Bubble Problem in the Hexagonal Norm

Discrete ℓ1 Double Bubble solution is at most ceiling +2 of the continuous solution

Discrete $ℓ^{1}$ Double Bubble solution is at most ceiling +2 of the continuous solution