Al-Biruni died in the same year that a boy was born to a Persian tentmaker. The Farsi word for tentmaker is khayyám; the tentmaker named his son, Omar.
It is probable that as a child he studied the Koran. He would have learned to recite its verses aloud, for tradition holds that the scripture is akin to a chant, which is why the angel Gabriel chose to speak its words to the illiterate Muhammad. Perhaps the boy recited such a verse as, ‘Most surely in the creation of the heavens and the earth, and the alteration of the night and the day, there are signs for men who understand.’
Many other books, on many subjects, must also have passed through his hands: books on geometry and the movement of the stars, books on arithmetic and music. He learned many of the pages by heart. It is likely that he also read or heard of Al-Biruni’s compendium of calendars, and smiled at Al-Tabari’s apocalyptic prediction. From long years of cloistered study, indifferent to the company of other people, he earned the bookish reputation of a ‘bad character’.
When he was not reading books, he wrote them. A gifted poet, he was better known in his day as a talented mathematician. ‘The notion that one could use geometric constructions for certain types of algebraic problems was certainly recognised by Euclid and Archimedes,’ writes the mathematician Ramesh Gangolli, ‘but before Omar Khayyam’s construction, only simple types of equations . . . were thought to be amenable to the geometric method . . . Khayyám opened the door to the study of the more general question: What kind of algebraic problems can be represented and solved successfully in this manner?’
The young Persian’s receptivity to inspiration must have been immense. When the sunlight shone through the latticework windows of his study, it danced upon the walls in geometrical shapes. Khayyám’s pen traced rubai (poems) of four short rhyming lines, tight as theorems, writing the words from right to left. Some say he composed only sixty such poems; others, six hundred. He also wrote a commentary on Euclid’s Elements that Gangolli tells us explained ‘in more detail many aspects that were left implicit and clarified many misconceptions about the structure of axiomatic systems.’
Polyvalent talent like his is rare in any age. It likely led to jealousies, snide comments, upturned noses from certain quarters among his fellow countrymen.