This small 1903 edition is from the The Century Co., printed by the De Vinne Press. The cover is of decorated leather (tooled, carved, embossed, I am not sure how to tell the difference). It contains the fourth, first, and second edition text.
It also has appears to be the photo attribution of FitzGerald frontispiece and John Hay’s ‘Omar Khayyam’ address that he “delivered at the dinner of the Omar Khayyám Club, in London, December, 1897. Mr. Hay was the guest of the club.”.
Article on the De Vinne Press of interest. I was mainly searching for the correct spacing/capitalization of the name. Apparently the De Vinne Press building is a famous NYC landmark.