Abstract.
Several papers have appeared with descriptions of sets that are expressible as unions of 2 or 3 starshaped sets. The general problem is relevant since it is closely related to the classical “Art Gallery Problem”. Some new solutions, for generic values of the parameters, are presented here. These solutions are adaptations of known characterizations of starshaped sets.
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Toranzos, F.A., Forte Cunto, A. Sets expressible as finite unions of starshaped sets. J. Geom. 79, 190–195 (2004). https://doi.org/10.1007/s00022-003-1563-8
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DOI: https://doi.org/10.1007/s00022-003-1563-8