I.M. Foreman's One-Species Nongenetically Engineered Travelling Show was a complex space-time event similar to a TARDIS. I.M. Foreman programmed the show's course by meditating and communicating telepathically with it.
It was a space-time vessel but it had no extra-dimensional connections. It moved through space and time by retroactively building a site and disguising itself before/during/as it moved there. This process took years.
Unlike a TARDIS, it was not designed for instantaneous (or even fast) travel, and it could travel back into the Dark Time. A by-product of this was that it sometimes knocked dents in space-time, luring other space-time travellers to the site. It brought Faction Paradox, the Remote, and the Third Doctor and Sarah Jane Smith to the planet Dust, and it brought the First Doctor and Susan to 76 Totter's Lane in 1963. (PROSE: Interference - Book One, Interference - Book Two)