The final Grand Ballet wascomposed of forty distinct geometric figures ( La grand entrée is written in 4/4 for five voices and is seventy-eight measures ):
These were all exact and well-planned in their shapes, sometimes square, sometimes round, in several diverse fashions; then in triangles accompanied by a small square, and other small figures. These figures were no sooner formed by the Naiads, dresses in white, than the four Dryads, dressed in green, arrived to change the shape, so that as one ended, the other began. At the middle of the Ballet a chain was formed, composed of four interlacings, each different from the others, so that to watch them one would say that it was in battle array, so well was order kept, and so cleverly did everyone keep his place and his cadence. The spectators thought Archimedes could not have understood geometric proportions any better than the princesses and ladies observed in this Ballet (MacClintock,pp.90-91)