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● Aperiodic substitution tilings based on Girih Tiles(Islamic Architecture)
Makovicky 1992 + Lu & Steinhardt 2007
● My own version:
Lu, P.J.; Steinhardt, P.J.Decagonal and Quasi-Crystalline Tilings in Medieval Islamic Architecture. Science 2007, 315, 1106–1110.
Makovicky, E. Hargittai, I. (Ed.)800-year-old pentagonal tiling from Maragha, Iran, and the new varieties of a periodic tiling it inspired Fivefold symmetry, World Scientific: Singapore, 1992, 67-86.
D. Frettlöh, F. Gähler, and E. O. Harris.Tilings encyclopedia. available at http://tilings.math.uni-bielefeld.de/.
M. Baake and U. Grimm. Aperiodic Order. Vol 1. A Mathematical Invitation, volume 149 of Encyclopedia of Mathematics and its Applications. Cambridge University Press, Cambridge, 2013.
Warrington, D.H.Two Dimensional Inflation Patterns and Corresponding Diffraction Patterns. In Quasicrystalline Materials: Proceedings of the I.L.L./CODEST Workshop; Janot, C., Dubois, J., Eds.; World Scientific: Singapore, 1988; pp. 243–254.
Nischke, K.P.; Danzer, L.A construction of inflation rules based on n-fold symmetry. Discret. Comput. Geom. 1996, 15, 221–236.
Harriss, E.O.Non-Periodic Rhomb Substitution Tilings that Admit Order n Rotational Symmetry. Discret. Comput. Geom. 2005, 34, 523–536.
Hibma, T.Generalization of Non-periodic Rhomb Substitution Tilings. arXiv 2015, arXiv:1509.02053.
Hibma, T. Aperiodic Rhomb Tiling. Available online: http://www.hibma.org/wpaperiodictiling/
CAST ∆7-1.1.1Installation – Enhanced version of aaperiodic substitution tiling by L. DanzerShown 2017-11 at “Drei Dimensionen der Ebene”Kunstpavillon Munich, GermanyInstallation + Photo by Stefan Pautze
● B. Grünbaum and G. C. Shephard.Tilings and Patterns. W. H. Freeman & Co.: New York, NY, USA, 1987.
● D. Frettlöh, F. Gähler, and E. O. Harris.Tilings encyclopedia. available at http://tilings.math.uni-bielefeld.de/.
● M. Baake and U. Grimm. Aperiodic Order. Vol 1. A Mathematical Invitation, volume 149 of Encyclopedia of Mathematics and its Applications. Cambridge University Press, Cambridge, 2013.
● M. Baake and U. Grimm. Aperiodic Order. Vol 2. Crystallography and Almost Periodicity, volume 166 of Encyclopedia of Mathematics and its Applications. Cambridge University Press, Cambridge, 2017.