Riemann Hypothesis Solved By Sir Michael Atiyah After 160 Years, He Says

One of the world's most renowned mathematicians showed how he solved the 160-year-old Riemann hypothesis at a lecture on Monday — and he will be awarded $1 million if his solution is confirmed.

Sir Michael Atiyah, who has won the two biggest prizes in mathematics — the Fields Medal and Abel Prize — took the stage at the Heidelberg Laureate Forum in Germany on Monday to present his work.

To solve the hypothesis you need to find a way to predict the occurrence of every prime number, even though primes have historically been regarded as randomly distributed.

Aityah's solution will need to be checked by other mathematicians and then published before it is fully accepted and he can claim the prize from the Clay Mathematics Institute of Cambridge.

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Islamic Star Patterns

Islamic star patterns arose in the centuries after the birth of Islam, and spread quickly as Islamic rule grew outward from the Middle East to encompass western Europe, northern Africa, and southern Asia. This form of ornamentation peaked in the first half of the second millennium. The practice then tapered off as the borders of the Muslim world began to shrink. Today, historical artifacts can be found in countries from Spain to Uzbekistan, with important concentrations in Spain, Turkey, Iran, and Morocco.

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Science and the Islamic world—The Quest for Rapprochement

Interesting reading on why science and math vanished in the Middle East.

Arabic Geometry

Catnaps.org has an interesting article on Arabic geometrical patterns.

Islamic Quasicrystalline Architecture

Medieval Muslims Made Stunning Math Breakthrough
Magnificently sophisticated geometric patterns in medieval Islamic architecture indicate their designers achieved a mathematical breakthrough 500 years earlier than Western scholars, scientists said on Thursday.

By the 15th century, decorative tile patterns on these masterpieces of Islamic architecture reached such complexity that a small number boasted what seem to be "quasicrystalline" designs, Harvard University's Peter Lu and Princeton University's Paul Steinhardt wrote in the journal Science.

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