2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/127611The concept of star-duality is described for self-similar cut-and-project tilings in arbitrary dimensions. This generalises Thurston's concept of a Galois-dual tiling. The dual tilings of the Penrose tilings as well as the Ammann-Beenker tilings are calculated. Conditions for a tiling to be self-dual are obtained.15 pages, 6 figuresMetric Geometry52C23text