In geology, petrification was a fossilization process in which organic matter was replaced with minerals.
In 2266, the Iotian gangster Kalo on the planet Sigma Iotia II idiomatically told Captain James T. Kirk, Commander Spock, and Doctor Leonard McCoy "let's see you petrified." Spock inquired for an explanation of that statement's meaning, and Kalo responded that he wanted to see them turn to stone (i.e., not move). (TOS: "A Piece of the Action")