The geometry of their shells keeps turtles from getting stuck on their back.

Although the Teenage Mutant Ninja Turtles didn’t seem to have this particular problem, it’s commonly thought that once a turtle gets stuck on its back, it’s pretty much doomed. While it’s true that turtles, like other animals with shells, can have a hard time righting themselves when flipped over, they aren’t helpless. In fact, according to these mathematicians, the domed shell of land turtles is shaped in a nearly optimal curve to help the turtle flip back over. As Donatello would say, “Tur

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