The Tomb of the Cybermen - S5-E1
Revealing mistake: When Kaftan is activating the revitaliser controls, you can see Patrick Troughton moving into position for when he runs and grabs her.
The Tomb of the Cybermen - S5-E1
Revealing mistake: The Cybermen retreat into their tombs backwards; this was achieved by simply having the film of them coming out of their tombs run in reverse.
The Tomb of the Cybermen - S5-E1
Revealing mistake: When Jamie and the Doctor try to open the doors to the tomb, watch them push it with their feet.
The Tomb of the Cybermen - S5-E1
Revealing mistake: During the fight scene between Toberman and the Cybercontroller, the Cybercontroller uses a very visible harness to lift Toberman over his head, and the wires attached to the harness Toberman is wearing are also very visible. When Toberman, in return, lifts the Cybercontroller above HIS head, it is obvious that what Toberman is lifting is an empty costume, with no-one inside it.
Answer: TARDISes are generally available for properly authorised use on Gallifrey; they're not usually assigned to a particular Timelord on a long-term basis. The Doctor stole his when he left his homeworld.
Tailkinker ★