I'd already figured out what all the faces needed to be as soon as I started the puzzle. I used the weather vane with the sky and wrote down the two faces and the first one I used the weather vane on showed me two other faces so I wrote those down.
I write everything down though, things that look important anyway.
Of course the other way to solve it is to go through all 64 possible combinations of each podium until you get the right one.
There's lots of ways to solve it!