
Khayyam means 'tentmaker' — an old Persian family or occupational name.
Scholars use medieval Persian manuscripts, historical reports, and preserved copies of his poetry kept in libraries and archives.
Persian uses a different alphabet, so converting his name to English creates variations like Omar or Umar, and Khayyam or Khayyám.
Yes. Modern Iranian calendars descend from the Jalali system, and its accuracy influenced later calendar designs.