The character Steve Zissou, played by Bill Murray, is an homage to Captain Jacques-Yves Cousteau, who also wore a red wool cap identical to the caps worn by Zissou and his crew. Additionally, Captain Cousteau's ship was named Calypso, and in the film Zissou's ship is named Belafonte, a send-up because Harry Belafonte, a Jamaican American musician/actor, was referred to as the "King of Calypso." See more...
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Revealing: The camera occasionally pans sideways through walls as characters travel from room to room. In two instances, a visible edit can be seen between the rooms, revealing that they are not in fact adjacent parts of the set, but rather were spliced together. In the latter of these two, an electrical outlet disappears mid-transition.
Continuity: Warning: Spoiler. Following the shootout with pirates at the abandoned hotel, it is raining hard as Team Zissou makes their escape. When they arrive at the beach, it has suddenly stopped raining. There has not been a lapse of time, as the action on the beach is a continuation of the running sequence. Secondly, we see a young boy cooking something over a campfire. There is no way he could have built a fire in the heavy rain that was falling just a moment earlier.
Continuity: When Alistair Hennessey is lamenting with Steve Zissou about pirates aboard the Operation Hennessy vessel, there is a shot of Alistair lounging on a yellow sofa. To the left of the shot there is an opened silver laptop, but when the camera quickly cuts back to this shot, the laptop is in a semi-closed position.