Islamic Geometric Pattern

Overview
Islamic Geometric Patterns like the tiling on the pavilion ceiling in the Tomb of Hafez are non-figural works of devotional art that recall God's infinity without depicting "Him." Because Islam is a strictly Apophatic religion that discourages representations of both God and Mohammed, it might be argued that the Islamic world has historically invested as much collective attention to the production of infinite patterns as the Judeo-Christian world lent to exploring the Point at Infinity.

Infinite Pattern
Islamic patterning produces complex, detailed, seemingly endless repetitions of nuanced, colorful, and harmonic geometric embellishments. Rather than depicting God, these patterns' rhythm and precision draw onlookers toward "Him."

Mathematician and critic Eli Maor describes the techniques used to create these distinct infinite patterns as follows. To create an infinite pattern, an artist must perform all four symmetry operations: reflection, rotation, translation, and glide reflection. The simplest types of infinite patterns are infinite bands. The repeating diamond-shape in the frame of this Mughal-era pierced window is a simple infinite band.