Regular n-flake dusts in R^2 are lattice-type self-similar sets that are not Minkowski measurable.
A survey on Minkowski measurability of self-similar and self-conformal fractalsinR d
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The regular n-flake dust in $\mathbb{R}^2$ is not Minkowski measurable
Regular n-flake dusts in R^2 are lattice-type self-similar sets that are not Minkowski measurable.