The only way you can get a cat to do anything is by tricking it into thinking that you are it's slave. I imagine this cats thought process went something like this:
"Oh yes, slave. You will be my bridge and my pedestal. Flip around if you please, but my paws are NOT to touch that filthy floor."
"Oh yes, slave. You will be my bridge and my pedestal. Flip around if you please, but my paws are NOT to touch that filthy floor."