
Omar Khayyam
Mathematician, astronomer, philosopher and poet — the Nishapur polymath who solved the cubic, designed a calendar accurate to one day in 5,000 years, and wrote a hundred quatrains the world still recites.
From Nishapur to Isfahan
Ghiyāth al-Dīn Abū'l-Fath ʿUmar ibn Ibrāhīm al-Khayyām al-Nīshāpūrī was born in 1048 CE in Nishapur, then one of the great cities of the Khorasan plateau and a centre of learning under the Seljuks. His surname, Khayyām, means "tent-maker" — likely his father's trade.
By his early twenties he was already known across the Islamic world for his treatise on algebra. In 1074 the Seljuk Sultan Malik Shah and his vizier Nizam al-Mulk summoned him to Isfahan to lead a new observatory and reform the calendar — a commission he completed in five years.
A geometric theory of the cubic
Khayyam's Treatise on Demonstrations of Problems of Algebra (c. 1070) classified cubic equations into fourteen types and gave a geometric solution for each by intersecting conic sections. No European mathematician would surpass this work until Cardano and Tartaglia in the sixteenth century.
Algebra
First systematic theory of cubic equations
Geometry
Treatise on the parallel postulate — a precursor to non-Euclidean geometry
Binomials
Khayyam–Pascal triangle for binomial coefficients (predates Pascal by 600 years)
Music
Mathematical analysis of musical intervals
One day's error every 5,000 years
In 1079 CE Khayyam completed the Jalali calendar, a 33-year solar cycle of eight leap years (rather than the Gregorian's 400-year cycle of 97). His calendar's mean year is 365.2424 days — closer to the true tropical year than the Gregorian's 365.2425. It remains the official civil calendar of Iran and Afghanistan today, almost a thousand years later.
| Calendar | Year (days) | Error per 5,000 years |
|---|---|---|
| Julian (45 BCE) | 365.2500 | ~37 days |
| Gregorian (1582) | 365.2425 | ~1.2 days |
| Jalali (1079, Khayyam) | 365.2424 | <1 day |
A hundred quatrains and a world reader
The quatrains attributed to Khayyam — short four-line stanzas in a strict rhyme scheme — circulated in Persia for centuries as a thinker's diversion. Their themes are constant: the silence of the universe, the inevitability of death, the call to live the present hour.
"The Moving Finger writes; and, having writ, Moves on: nor all thy Piety nor Wit Shall lure it back to cancel half a Line, Nor all thy Tears wash out a Word of it."
In 1859 the English scholar Edward FitzGerald published a free translation of seventy-five quatrains. It went unnoticed for two years, then exploded into one of the most reprinted books of the Victorian age and the most widely read translation of any foreign poem into English.



Frequently asked questions
Related reading
Khwarizmi, Razi, Ibn Sina, Khayyam, Tusi — Persian contributions to math, medicine, and astronomy.
Ferdowsi, Hafez, Rumi, Saadi, Nizami, Khayyam — the masters of Persian verse.
Inventions, governance, infrastructure — qanats, postal system, Charter of Rights.
Qanat, yakhchāl, windmill, algebra, distillation — twelve Persian inventions that shaped the world.
Spring equinox, Haft-Sin, Chaharshanbe Suri and Sizdah Bedar — Iran's 3,000-year-old UNESCO new year.
References
- ↗ Encyclopædia Iranica — Khayyam, Omar
- ↗ MacTutor — Omar Khayyam (mathematics)
- ↗ FitzGerald, Rubaiyat of Omar Khayyam (1859) — full text
All imagery is sourced from Wikimedia Commons, public-domain museum collections (British Museum, Louvre, Metropolitan Museum of Art, National Museum of Iran), or UNESCO World Heritage records. No AI-generated images are used. Scholarly text is synthesized from Encyclopædia Iranica, the Cambridge History of Iran, and peer-reviewed publications.