From coffee to cheques and the three-course meal, the Muslim world has given us many innovations that we take for granted in daily life. As a new exhibition opens, Paul Vallely nominates 20 of the most influential- and identifies the men of genius behind them Published: 11 March 2006

16) Carpets   Carpets were regarded as part of Paradise by medieval Muslims, thanks to their advanced weaving techniques, new tinctures from Islamic chemistry and highly developed sense of pattern and arabesque which were the basis of Islam's non-representational art. In contrast, Europe's floors were distinctly earthly, not to say earthy, until Arabian and Persian carpets were introduced. In England, as Erasmus recorded, floors were "covered in rushes, occasionally renewed, but so imperfectly that the bottom layer is left undisturbed, sometimes for 20 years, harbouring expectoration, vomiting, the leakage of dogs and men, ale droppings, scraps of fish, and other abominations not fit to be mentioned". Carpets, unsurprisingly, caught on quickly.

17) Pay Cheques   The modern cheque comes from the Arabic saqq, a written vow to pay for goods when they were delivered, to avoid money having to be transported across dangerous terrain. In the 9th century, a Muslim businessman could cash a cheque in China drawn on his bank in Baghdad.

18) Earch is in sphere shape?   By the 9th century, many Muslim scholars took it for granted that the Earth was a sphere. The proof, said astronomer Ibn Hazm, "is that the Sun is always vertical to a particular spot on Earth". It was 500 years before that realisation dawned on Galileo. The calculations of Muslim astronomers were so accurate that in the 9th century they reckoned the Earth's circumference to be 40, 253.4km - less than 200km out. The scholar al-Idrisi took a globe depicting the world to the court of King Roger of Sicily in 1139.

19) Rocket and Torpedo   Though the Chinese invented saltpetre gunpowder, and used it in their fireworks, it was the Arabs who worked out that it could be purified using potassium nitrate for military use. Muslim incendiary devices terrified the Crusaders. By the 15th century they had invented both a rocket, which they called a "self-moving and combusting egg", and a torpedo - a self-propelled pear-shaped bomb with a spear at the front which impaled itself in enemy ships and then blew up.

20) Gardens   Medieval Europe had kitchen and herb gardens, but it was the Arabs who developed the idea of the garden as a place of beauty and meditation. The first royal pleasure gardens in Europe were opened in 11th-century Muslim Spain. Flowers which originated in Muslim gardens include the carnation and the tulip.