1) it depends... a flip is a swap of two stickers, right?

2) Well, you would have to prove the assertion that each legal move always flilps an even number of edges, which brings me back to the question I asked last time (just change the word 'swap' to 'flip'. Just to be clear though, I'm talking about pyraminx (although since it is a twisty puzzle it shares many similarities to the cube)