The marble minbar of the Selimiye mosque in Edirne that was designed by the Ottoman architect, Sinan, and completed in 1575, bears a circular medallion of carved and pierced openwork in each of its triangular framing walls. The carved circular patterns are unusual in having radial symmetry with local five-fold and ten-fold rotations, but no periodic repeat. This contribution explores the relationship of this late 16th-century design to a similar array generated by X-ray diffraction of aluminum alloys, identified as a quasiperiodic pattern, which garnered the 2011 Nobel Prize in Chemistry. The 16th-century appearance of this pattern in an architectural context is attributed to the deliberate and conscientious attention to elements of geometry in the training of Ottoman architects, which drew upon a long tradition of geometric patterns in Islamic art.