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How do I prevent my turtle from collapsing under its own gravity?

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Suppose the universe contained a species of planet sized turtles1 that can travers at least interstellar space. How can I explain (without invoking magic) that these turtles are not spherical?

If this is not possible within the laws of physics as they are, what can be changed minimally about them (the laws of physics) that could allow such an organism to structurally sustain itself? Important here is its relative size to "normal" living organisms.

The answers to this question should not focus on how/whether this organism could survive (sources of food), travel or even evolve. For the scope of this question, all other issues with this organism may be considered to be solved.

1: not necessarily a representative image of the turtle as imagined by the author, the world on its back especially I can only assume was a fabrication by the illustrator.

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This post was sourced from https://worldbuilding.stackexchange.com/q/1359. It is licensed under CC BY-SA 3.0.

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