Trivia: As Kirk, Spock, and Uhura head to the shuttle bay for their mission to Kronos to capture Khan, Sulu orders crew to prepare the vessel that was confiscated in the Mudd incident. This is a reference to Harry Mudd, a roguish character who appeared in the original Star Trek series in the episodes titled,"I, Mudd" and "Mudd's Women." Harry Mudd, played by Roger C. Carmel, was the only non-regular character to appear in more than one episode on the original Star Trek series. Carmel was slated to reprise the role in Star Trek: TNG, but he died before the episode could be filmed.
Trivia: During the conversation between Admiral Marcus and Kirk, right after Marcus shows up in his new ship, look at the display over Kirk's left shoulder. It's out of focus, but looks like 1701 and the name GENE. In other views of the display, it looks like the letters C and O. Not sure if it was deliberate, but interesting if it was an homage to Gene Rodenberry.
Trivia: Admiral Marcus is looking at models of various air and spacecraft that were very important to history. These include (in approximate order) the Wright flier, an early propeller plane, a V2, what appears to be a Bell X-1A, sputnik, a Mercury space capsule, a space shuttle, the upcoming Space Launch System (SLS), an unknown spacecraft (which might be also referenced in Star Trek the Motion Picture), Zephram Cochram's ship the Phoenix (and presumably the version immediately after that), NX-01, the USS Kelvin, and the Vengeance.
Add timeLaurence Ruberl