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Model sets (or cut and project sets) provide a familiar and commonly usedmethod of constructing and studying nonperiodic point sets. Here we extend thismethod to situations where the internal spaces are no longer Euclidean, butinstead spaces with p-adic topologies or even with mixed Euclidean/p-adictopologies.  We show that a number of well known tilings precisely fit this form,including the chair tiling and the Robinson square tilings. Thus the scope ofthe cut and project formalism is considerably larger than is usually supposed.Applying the powerful consequences of model sets we derive the diffractivenature of these tilings.Comment: 11 pages, 2 figures; dedicated to Peter Kramer on the occasion of his  65th birthda

Limit-(quasi)periodic point sets as quasicrystals withp-adic internal spaces