In theory the TARDIS should be able to change its appearance to blend in unobtrusively wherever it happens to materialise. In practice, however, it always looks like a police box - a minor inconvenience the Doctor now hopes to correct.
Fixing the mechanism involves a visit to Earth and a trip to the planet Logopolis - normally a quite little place that keeps itself to itself.
But on this occasion the meddling presence of the Doctors archenemy, the Master, ensures the disruption of normality. And even the Master is horrified by the threat of total chaos he unintentionally precipitates - until he finds a way to turn the imminent destruction of the universe to his own advantage...