Whitney embedding theorem

The Whitney Embedding Theorem is like a magic trick for shapes! Imagine you have a wiggly, squiggly shape, like a balloon animal or a tangled-up ball of yarn. The theorem says that you can stretch and twist and turn that shape so much that it becomes a smooth, flat shape that fits perfectly inside a big box.

Think of it like this - when you try to put a bunch of different-sized toys into a toy box, they might not all fit together nicely. But with the Whitney Embedding Theorem, you can make each toy change size and shape so that they all fit together perfectly, like pieces of a puzzle.

This theorem is really important for mathematicians because it helps them understand and study shapes in a more organized way. They can use it to simplify shapes and make them easier to work with. So next time you see a tricky shape, just remember - with the Whitney Embedding Theorem, anything is possible!