There's an idea in Mathematics that goes by the name of Catastrophe Theory. If you think of a system, the mathematics defines the elements of the system and then describes or predicts what happens to the system when it confronts an abrupt change. Dali took an interest in the subject and he had a whole series of drawings devoted to the theory. The drawing that sticks is his drawing of a Swallow's Tail.
It was kind of nice, I'm told the elements of the tail followed the patterns
described by the mathematics and there was a sense that so long as those
elements were there, the creature could dart through the sky in ways that were
wholly unpredictable, and yet retain it's integrity as beautiful. Entirely
possible Dali had something completely different on his mind, but don't we all.