We can only speculate about his color preferences based on his life and work:
* The color of the sky: Archimedes was known for his studies of astronomy and the celestial bodies. Perhaps he was drawn to the deep blues and greens of the sky.
* The color of the sea: He was also a skilled engineer and inventor, and many of his inventions involved the use of water. He might have favored the deep blues and greens of the sea.
* The color of bronze: His famous "Archimedes' Screw" was likely made of bronze. He might have been attracted to the warm, reddish-brown hue of this metal.
However, without any direct evidence, we can't say for sure what Archimedes' favorite color was.