Just Fallen Short
Quasi-periodicity in 15 th century Islamic Art and whether it actually has been developed as a concept is still a matter of a somewhat controversial debate. There are three sites in the city of Esfahan which have been studied in this regard in considerable detail, two rather small patterns on a spandrel and a portal on the Darb-i Imam shrine in the Dardasht quarter of the old city (1453) and a huge pattern on the western iwan of the Great Mosque. Several authors have, in the meantime, tried to overlie Penrose patterns of kites and darts or thick and thin rhombuses in order to prove that medieval artisans were able to apply what had been described by Roger Penrose only five centuries later. See, for example, Lu and Steinhardt (2007), their response to some additional work by Makovicky (2007), or Cromwell (2008) here , here , and here . However, while a certain desire for subdivision and self-similarity can easily be traced on the respective buildings, it is not perfect, in particular...