Continuity: Throughout the serial, the TARDIS controls are flagrantly inconsistent. The big red knob is used both to open the door and to activate the chameleon circuit, while other levers and buttons are also used to open the door.
Revealing Mistakes: Tom Baker's voice is out of synch with his mouth during the first console room scene. (This has been fixed on the New Beginnings DVD.)
Plot Hole: Why is there a litter bin right next to a "Please Take Your Litter Home" sign?
Tegan: You have to learn to fend for yourself in the Outback you know.
Aunt Vanessa: Your father's farm is hardly the Outback, my dear!
Detective Inspector: This your vehicle?
The Doctor [ looking back at the TARDIS ]: Which vehicle?
Detective Inspector [ annoyed ]: The sports car.
The Doctor: Much better to leave [the calculations] to the Logopolitans. They do it standing on their heads.
Adric: Not with a computer?
The Doctor [ slowly ]: 'Standing on their heads' is an expression.
Novelisation: Doctor Who - Logopolis by Christopher H. Bidmead (ISBN 0 426 20149 3) first published by W H Allen in 1983.
DVD: Doctor Who: Logopolis released (along with The Keeper Of Traken and Castrovalva) as part of the Doctor Who: New Beginnings box set (BBCDVD 1331) on 29 January 2007. Released in U.S.A./Canada on June 5 2007.
Video: Doctor Who: Logopolis (BBCV 4736) released in March 1992. Released in U.S.A./Canada (Warner Home Video E1142) in October 1993.
Sarah Sutton (Nyssa of Traken) does not appear in this episode.
The first time that the circular holes on the TARDIS walls are referred to as "roundels." Also the first time that the room with the console is referred to as the "console room" (previously it was called either the "control room" or "control chamber").
The Master is up to his old tricks and shrinks Tegan's auntie and a policeman to death in this episode (although how many viewers recognised his 'trademark' is debatable given that he'd only used it on two previous occasions).
Although its function was first described in The Cave of Skulls, the TARDIS's chameleon circuit is identified as such for the first time.
First appearance of Janet Fielding as Tegan Jovanka.