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Data's cat "Spot" is a male throughout the history
of the show, but is suddenly female in the episode "Genesis" and
gives birth to kittens.
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The ceiling of the transporter chamber on the Enterprise D
is in fact the floor of the transporter chamber from the Enterprise in the
original series.
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Stephen Hawking is the only person to appear as himself in
the series (in a holodeck scene where Data plays poker against Einstein,
Newton, and Hawking [Hawking wins]).
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Two characters on the show were named after real people: The
alien "Q" was named for Janet Quarton, a British fan; and Geordi
La Forge was named after another Trek fan, George La Forge, who was confined
to a wheelchair.
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Picard rose to his rank when his commanding officer aboard
the USS Stargazer was killed in battle.
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David Gerrold, a writer from the original series, was a
consultant and uncredited story editor on the first two seasons. He left in
a dispute after a script of his about two gay officers was pulled from
production in the 11th hour.
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The character of Geordi LaForge was originally conceived as
Jamaican. When LeVar Burton was cast in the role, this was dropped, although
a Jamaican actress (Madge Sinclair) later appeared as LaForge's mother.
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Each of the three live-action Star Trek series after the
original "Star Trek" (1966) has had a cameo appearance by a
character from its predecessor series in its premiere episode: "Star
Trek: The Next Generation" had Dr. McCoy, "Star Trek: Deep Space
Nine" had Captain Picard, and "Star Trek: Voyager" had Quark.
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The corridor, engineering, transporter room, and battle
bridge sets were derived from sets originally built for the first four Star
Trek movies. A majority of the sets also served as different locations on
the Enterprise-A in the fifth and sixth Star Trek films