Professor Puzzle - The Enigma Puzzle Level 2

The Enigma consists of two identical pieces, Even the most qualified puzzlers often just don't 'get' this puzzle. Rocket science it is not - but human brains don't seem to react well to this tough little challenge. Two moves are required to take the pieces apart and the first move is much easier to master than the second.
Can you separate the two pieces and put them back together again?