Muslims are famous for intricate and elegant geometrical designs decorating their historic buildings. Scholars contributed to the development of geometry, especially algebraic geometry and geometric algebra. They Inherited, developed and extended the work of the Greeks including the famous Euclid.
As Islam spread from nation to nation, Islamic artists combined their penchant for geometry with existing traditions, creating a new and distinctive Islamic art. This art expressed the logic and order inherent in the Islamic vision of the universe. 9th century Al-Mahani formulated the idea of reducing geometrical problems such as duplicating the cube to problems in algebra. 10'th century Thabit ibn Qurra dealt with arithmetical operations applied to ratios of geometrical quantities, and contributed to the development of analytic geometry.