Abstract
Computing a polygon defining a set of planar points is a classical problem of modern computational geometry. In laboratory experiments, we demonstrate that a concave hull, a connected α-shape without holes, of a finite planar set is approximated by slime mould Physarum polycephalum. We represent planar points with sources of long-distance attractants and short-distance repellents and inoculate a piece of plasmodium outside the dataset. The plasmodium moves towards the data and envelops it by pronounced protoplasmic tubes.
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