I added directionality (now you can flip to the right), synched the window sizes, and made a minor modification to the flip animation so it looks like the window is doing a full rotation around its axis. I think these make the flip animation appear more realistic.
I also added a demo project as an example.
Added demo project
Adjusted animation to appear as a continuous flip across its axis
Added directionality to the flips
Synch window sizes. This makes the flip seem more realistic
Fixed UI placement in FlipDemo
Explicit license added to the FlipDemo project