Mission to the Unknown - S3-E2
Plot hole: The Daleks announce their secret plan on the city's external loudspeaker system, where Cory hears it. It can hardly be a 'secret' plan if it is broadcast for all to hear...
The Daleks' Master Plan - S3-E4
Continuity mistake: In the cliffhanger to episode 1 of this story, as The Daleks approached the TARDIS, the TARDIS door was open. At the beginning of episode 2, seconds after the cliffhanger moment in 1, the door is suddenly closed. (00:01:00 - 00:02:00)
The Daleks' Master Plan - S3-E4
Audio problem: At one point where the trail of Visian footprints are appearing, we hear the sound effect of the foot hitting the ground, but the footprint fails to appear.
The Daleks' Master Plan - S3-E4
Visible crew/equipment: At the beginning of episode 2 when The Daleks are talking, a stage light is reflected on one of The Daleks.
The Daleks' Master Plan - S3-E4
Visible crew/equipment: In Episode 2 when Marc Cory and the other Ambassador are talking, a figure who appears to be wearing Space Security Uniform (and this isn't Nicholas Courtney) and a stage hand walk by, and you can also see the end of the set.
Factual error: Billy Claiborne, the only member of the Clanton gang to survive the O.K. Corrall shoot-out, is conspicuous by his total absence in this story. Maybe that's how he survived?
Revealing mistake: The "American" accents in this episode are all over the map and frequently inconsistent within the same scene.
Continuity mistake: The six-shooters, in the climactic gunfight, fire off a lot more than six shots without reloading.
Visible crew/equipment: In the fourth part, as the mortally wounded fighter is falling against the back wheel of the cart, the camera is positioned low and its shot is panned upwards, revealing the top of the cyclorama, a large concave backcloth that has been pulled around the studio walls (presumably BBC Studio 1) to give the impression of daylight in these studio-shot but supposedly external scenes.
Other mistake: In part one, one of the gunmen shoots at a bottle behind the bar and it takes several seconds for the bullet to travel only a few feet.
Factual error: The story "The War Machines" is (probably) set in London in July 1966. At the time, England, and more specifically London, was hosting the F.I.F.A. World Cup Soccer Tournament. But you wouldn't know it from watching this Doctor Who story... Sir Charles Summers mentions July 12th (1966), which was the day after England played Uruguay at Wembley and the day before Mexico played France. The other matches involving those four were played in London during the time the events of "The War Machines" are supposed to take place, but no mention is made of the fact, there are no foreign football supporters roaming the streets and no flags or posters on display. Did the story take place in an "alternate reality" London of July 1966?
Factual error: This story is set in London in 1966 - the Post Office Tower was completed in October 1965). July 12th 1966 was a Saturday, not a Monday.
Plot hole: It is highly unlikely that the discovery of a dead down-and-out's body in an empty warehouse would be reported in a national newspaper, especially as the discovery had to have been made when the newspapers were already being printed.
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 ★