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1.
A parrot-like creature with eight octopus tentacles.
On "The Simpsons", Homer went to a place where the people could make him smarter by removing a crayon stuck in his brain.

One of staff said, "We don't play God here". Homer responded with "You do nothing but play God, and I think your OCTOPARROT would agree".

(Cut to shot of octoparrot squawking and saying "Polly shouldn't be!"
by Dave Ellis December 07, 2007
 
2.
An unnatural combination of two unlikely constituent elements, the result of which should not exist. From _The Simpsons_.
How can you mix red wine and gin? That's an octoparrot!
by Cheese Burger September 16, 2008