For every r at least 30, the lattice-type Cantor dust C_r in the plane is proven to be non-Minkowski measurable; for r in (2,30) the same conclusion is supported only numerically.
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A family of non Minkowski measurable fractals in $\mathbb{R}^2$
For every r at least 30, the lattice-type Cantor dust C_r in the plane is proven to be non-Minkowski measurable; for r in (2,30) the same conclusion is supported only numerically.