2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/219354The affinely regular polygons in certain planar sets are characterized. It is also shown that the obtained results apply to cyclotomic model sets and, additionally, have consequences in the discrete tomography of these sets.10 pages, 1 figureMetric Geometry52B05 (Primary); 52C23, 11R04, 52A10, 52B20, 12F10 (Secondary)text