How mathematics is used in Islamic architecture?

By 1200 C.E. there was an important breakthrough in Islamic mathematics and design which was the discovery of a new way to construct girih line patterns as ... of shapes or decoration, but when looked at closely the complexity of the use of geometry in the designs really brings out Islamic Architecture in it's Golden Age. read more

I remember I read somthing about the use of complex mathematics in Islamic archticture and I will but some refernce I graped from wikipedia about what called "quasicrystal strucures" : [23] Makovicky, E. (1992), 800-year-old pentagonal tiling from Maragha, Iran, and the new varieties of aperiodic tiling it inspired. read more

In Islamic architecture, geometric shapes and geometric tiling patterns are used to decorate buildings, both inside and outside. Some Hindu temples have a fractal-like structure where parts resemble the whole, conveying a message about the infinite in Hindu cosmology. read more

This corresponds to a proportion of 1: 1.618, considered in Western architectural theory to be verypleasing. In Islamic architecture, a proportion of 1: √2 was oftenused—the plan would be a square and the elevation would beobtained by projecting from the diagonal of the plan. read more