The Celestial Toymaker: | ||
 | ep 1-4 – | We're supposed to believe that the Toymaker has set the Doctor a fiendishly difficult task, requiring immense concentration and calculation, by getting him to move the ten Trilogic pieces from one point to another using exactly 1,023 moves. Unfortunately, the Toymaker (not to mention the production team) was evidently unaware that this famous puzzle (also known as the "Tower of Hanoi") has a completely trivial solution for moving n pieces in 2n-1 moves. The method is: on the odd-numbered moves, move the smallest piece, always in the same direction around the board (e.g. from A, to B, to C, back to A, and so on). On the even-numbered moves, make the only move that does not involve the smallest piece (there can be only one). Mechanically following this simple algorithm will solve the puzzle with no thought required whatsoever! |
 | ep 4 – | When the Doctor's disembodied hand plays the Trilogic game, the game pieces on each corner are all nicely lined up with the black triangles on the board. However, during the speeded-up sequences, the pieces at B and C are turned around, and are no longer aligned with the black triangles. |
| ep 4 – | There's a huge shadow visible over Steven just before he makes his first dice roll. |
| ep 4 – | After the games are over, the Toymaker appears on the robot's screen. As Steven is saying "Your power? We won through, didn't we?" a microphone shadow lingers right in the center of the robot's head. |
| ep 4 – | The reflection of a hand is briefly visible in the shiny back of the Toymaker's chair, as it gives him his cue to rise and go over to the TARDIS. |
| ep 4 – | There are some very obvious reflections of banks of studio lights in the TARDIS scanner as the travellers watch the Toymaker's world being destroyed. |