3 papers
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 is the regular hexagon. We pro…
math.MG2021
Discrete 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 is at most the ceiling function plus two of the continuous solution to the Double…
math.GT2020
An elementary proof for the Double Bubble problem in norm
Parker Duncan, Rory O'Dwyer, Eviatar B. Procaccia
We study the double bubble problem with perimeter taken with respect to the norm on . We give an elementary proof for the existence of minimizing sets for an…