AI – ‘Applying game theory to classical Moorish art reveals that medieval artisans may have used a sophisticated modular logic to create their famous geometric patterns. This approach suggests that complex mosaics, such as those found in the Alhambra, were not just artistic expressions but strategic executions of mathematical rules. 

The New York Times +1Key insights revealed by this mathematical lens include:

• Advanced Geometric “Strategy”: Patterns once thought to be created with simple tools like a ruler and compass are now believed to involve “quasi-crystalline” designs. Applying game-like strategic logic shows these artisans could generate infinite, non-repeating patterns from a finite set of rules, an “important breakthrough in Islamic mathematics” that predated Western discovery by centuries.
• Modular “Gameplay”: Art historians and physicists have observed that Moorish tilework, such as zellij, functions like a puzzle. The artisans “played” with a limited set of polygonal shapes (the “moves”) to reach a “Nash equilibrium” of visual harmony, where no single tile can be changed without disrupting the entire symmetrical grid.
• Conflict vs. Cooperation in Design: Traditional Islamic thought often views zero-sum games (win-lose) as forbidden, which is reflected in their art’s cooperative geometry. The patterns often focus on “mutual dependence,” where every shape supports the adjacent one to create a unified whole.
• A “Language” of Decision-Making: Breaking down patterns into four-fold, five-fold, or six-fold categories reveals a visual language where the first “move”—dividing a circle—determines the entire outcome of the design.’