A fur dresser had to put a patch shaped like a scalene triangle on a piece of fur. Suddenly he realized he had made a terrible mistake. The patch fitted the hole but the fur side faced the wrong way.
The fur dresser, after some thought, cut the triangular patch into 3 parts, each of which would be unchanged when turned over. How?
He would cut the scalene triangle into two isosceles triangles and one diamond shaped piece. Both triangles and the diamond would turn perfectly around.
I'm not sure if that would work, but it is a guess. :)