For regular anisotropies the lens cluster uniquely minimizes the anisotropic perimeter among (1,2)-clusters and the triod among (1,3)-clusters in R^2, with the result extended to general anisotropies by approximation.
The structure of isoperimetric bubbles onRn andS n
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The lens cluster and triod cluster uniquely minimize the anisotropic perimeter in $\mathbb{R}^2$
For regular anisotropies the lens cluster uniquely minimizes the anisotropic perimeter among (1,2)-clusters and the triod among (1,3)-clusters in R^2, with the result extended to general anisotropies by approximation.