Mount Rushmore was a presidential memorial in South Dakota. (PROSE: The Time Traveller's Almanac [+]Loading...{"chaptname":"Everything Changes","page":"116","chaptnum":"3","1":"The Time Traveller's Almanac (reference book)"})
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During the Dalek Dome's 1966 Dalek invasion of Earth attraction, two bronze Daleks on hoverbouts carved a representation of their Supreme Dalek's casing into Mount Rushmore. A group of time tourists visited the monument and posted a picture of it to Tel•e•pixXx. (COMIC: Liberation of the Daleks)
The Monks erected a statue beside Mount Rushmore during their invasion of Earth. (TV: The Lie of the Land)
Other realities
The Year That Never Was
During The Year That Never Was, the Saxon Master had his face carved on Mount Rushmore. (TV: Last of the Time Lords) According to his own Masterplan Journal, he had in fact carved four of his incarnations into Mount Rushmore, those being his current self, "Beardy One", "Beardy Two" and "Wizard of Oz", observing that there was no room for "Mister Charcoal Grill". (PROSE: The Secret Diary of the Master)
Behind the scenes
The 1997 album Evolution: The Music from Dr Who featured Mount Rushmore with the faces of the eight Doctors.