Visualizing the Ten-Coin Problem

In the previous post, the ten-coin problem was visually presented as the start state next to the end state. I will call that image a visual juxtaposition diagram.

Another way to present the two states is to superimpose them on top of each other. To present the visual superimposition diagram, I will make the end state transparent and place it on top of the start state, as shown below.



The superimposed representation provides the clue that seven coins of the two formations overlap and that the end state can be reached by moving the three unaligned blue coins into the position of the three unaligned transparent coins.

I have found no mention in the problem solving literature of the visual superimposition method and how the visual superimposition diagram can improve performance for certain types of spatial problems. In fact, insight problem studies continue to use the ten-coin problem with their subjects.

Does the visual superimposition method only work for the ten-coin problem? Give a description of the type of problem that the visual superimposition method would help with.