Raphael
One of his most important papal commissions was the Raphael Cartoons (now in the Victoria and Albert Museum), a series of 10 cartoons, of which seven survive, for tapestries with scenes of the lives of Saint Paul and Saint Peter, for the Sistine Chapel. The cartoons were sent to Brussels to be woven in the workshop of Pier van Aelst. It is possible that Raphael saw the finished series before his death—they were probably completed in 1520. He also designed and painted the "Loggie" at the Vatican, a long thin gallery then open to a courtyard on one side, decorated with Roman-style grottesche. He produced a number of significant altarpieces, including "The Ecstasy of St. Cecilia" and the "Sistine Madonna". His last work, on which he was working up to his death, was a large "Transfiguration", which together with "Il Spasimo" shows the direction his art was taking in his final years—more proto-Baroque than Mannerist.
Bertram Raphael
Raphael was born in 1936 in New York. He received his bachelor's degree in physics from the Rensselaer Polytechnic Institute in 1957, and an MS degree in Applied Math from Brown University in 1959. He was a student of Marvin Minsky at the Massachusetts Institute of Technology and received his PhD in mathematics in 1964.