Completed in the sixteenth century, the Süleymaniye Mosque in Istanbul has long been regarded as one of the great works of Sinan, the Ottoman Empire's foremost architect. In recent years, as our understanding of Sinan's design strategies and sensitivities has improved, a number of influential scholars have argued that there is a singular formal layering pattern present in Sinan's elevations. With the advent of recent advances in computational analysis it is possible to quantify the degree of visual layering (the hierarchical relationship between form, ornamentation and materiality) present in Sinan's Süleymaniye Mosque and thereby provide evidence, either for or against, this proposition. Using an advanced version of the computational fractal analysis method, the paper investigates the four facades of the Süleymaniye Mosque, along with two facade details, to provide a mathematical description of the layering visible in this building. Through this process the paper provides, for the first time, quantifiable data supporting the theorised properties of this famous building. In doing so, the paper also offers a description of the most advanced demonstration of fractal analysis ever applied in architecture.