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Bananas were an Earth fruit. They were a good source of potassium. (TV: The Doctor Dances) Bananas were commonly associated with monkeys. (TV: Ghost Light) They included vasoactive amines, which made some people such as Toshiko Sato vomit. (TV: Something Borrowed)
The Doctor Edit
On Space Station Camera, the Sixth Doctor found a banana whilst searching his pockets for piece of wire. He gave the banana to Peri, who later started to eat it, but gave up when the sight of a dead Androgum made her feel sick. (TV: The Two Doctors)
In his tenth incarnation, the Doctor still liked bananas. He claimed that while partying with Madame de Pompadour in 18th century France, he might have invented the banana daiquiri several centuries early. He also offered Rose the advice, "Always bring a banana to a party". (TV: The Girl in the Fireplace) He also liked banana milkshakes. (TV: Smith and Jones) When he tried to stop Sky Silvestry from copying him, one of the things he mentioned was a banana. (TV: Midnight) During a visit to Blackwood Falls, the Tenth Doctor ate two banana splits in quick succession. (PROSE: Forever Autumn) He described a "Banana Surprise". (PROSE: Martha in the Mirror) Once, when expecting to land on a sunny beach, he emerged from the TARDIS with an inflatable banana. (PROSE: Snowglobe 7) While searching through the the Doctor's coat, Rose found a banana. (PROSE: The Price of Paradise)
When the TARDIS entered conceptual space, the Eleventh Doctor said "Imagine a banana - or anything curved - actually, don't, because it's not curved or like a banana. Forget the banana!" to Rory in an attempt to explain. (TV: Space) During a visit to ancient Egypt, he overturned a stall selling bananas while his companions and he were being chased. (COMIC: Assimilation²) In 1938 Berlin, he switched Melody Pond's gun with a banana to foil one of her attempts to kill him. (TV: Let's Kill Hitler)
When Ianto Jones was explaining automatic doors at the supermarket to Diane Holmes, John Ellis and Emma-Louise Cowell, the women were distracted when they spotted bananas. They were very excited to see so many on display, indicating bananas were difficult to come by in December 1953. (TV: Out of Time)