Here we are mid-game. From the grayscale pyramids upright to the side, we can see that 11 turns have been taken, and this will be the 12th,
Let's say, on this move, you want to get that large yellow nearer to the other large yellow, and the large orange nearer to those two small oranges.
So you swap them: large for a large.
Here we are, post-swap. Now, to count your turns, you take one of the flat grayscale pyramids off to the side, and turn it upright.
That concludes this turn.
If you're playing solitaire, or a game you'll compare with someone else's game (head-to-head), you now just proceed to take the next turn. If you're playing cooperatively, someone will speak up and propose a move for the next turn.