He was famous during his lifetime as a mathematician and astronomer who calculated how to correct the Persian calendar. On March 15, 1079, Sultan Jalal al-Din Malekshah Saljuqi (1072-1092) put Omar's corrected calendar into effect, as in Europe Julius Caesar had done in 46 B.C. with the corrections of Sosigenes, and as Pope Gregory XIII would do in February 1552 with Aloysius Lilius' corrected calendar(although Britain would not switch from the Julian to the Gregorian calendar until 1751, and Russia would not switch until 1918).
Omar Khayyám is famous today not for his scientific accomplishments, but for his literary works, about a thousand four-line verses he is believed to have written. Around a hundred of them were translated into English by Edward Fitzgerald (1809-1883) and published as the The Rubáiyát of Omar Khayyám (rubáiyát means "quatrains").
Other people have also published translations of some of the verses, but Fitzgerald's is the best known. Some people find this quite unfortunate, since Fitzgerald's translation is wildly inaccurate. In fact, Fitzgerald himself referred to his work as "transmogrification". In particular, Fitzgerald gave the Rubayyat a distinct atheistic spin. Khayyam himself clearly was not an atheist, but a Sufi, and a devout Muslim, though perhaps in somewhat anorthdox way for his time. (For a good alternative to Fitzgerald's translation, consider one by Robert Graves and Ali-Shah. )
Perhaps the most famous of the verses (Fitzgerald's XII in his 5th edition [1] (http://www.arabiannights.org/rubaiyat/rubaiyat.php3?display?5??9?0?4?3????1?), a reworking of XI in his 1st edition) is:
Another well-known verse (Fitzgerald's LI in his 1st edition) is:
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Like Shakespeare's works, Omar Khayyám's verses have provided later authors with quotations to use as titles: The title of Rex Stout's Nero Wolfe novel Some Buried Caesar comes from one of the Tentmaker's quatrains (Fitzgerald's XVIII), for example. Eugene O'Neill's drama "Ah, Wilderness!" derives its title from the first quoted verse above.
Omar's life is dramatized in the 1957 film Omar Khayyam starring Cornel Wilde, Debra Page[?], Raymond Massey, Michael Rennie, and John Derek[?].
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