I recently came across the following problem from Paul Zeitz's book The Art and Craft of Problem Solving. Given the image below, can you find a way to connect corresponding blocks (i.e. A to A, B to B, C to C), without having any of the connecting lines intersect one another?

The question was an interesting one for me, because for the longest time I was convinced that it was impossible, and when I finally became acquainted with the solution, it took me quite a while to "accept" it.
Granted, I am not the sharpest tool in the shed, but upon introspection I also wonder if I am being hindered by the "intuition" I have come to develop, and implicitly "accept".
I wonder if it would be a helpful exercise to perhaps go through experiences that help me dismantle this intuition. The most accessible way I can think of of undergoing such a process would be by reading helpful books, given my limited resources. While I think problem solving books such as the one I am reading right now is good for this purpose as a side-effect of its initial intention ("teaching how to problem solve"), I wonder if there are books that are geared specifically towards deconstructing and examining "intution"?
Prospective answerers, please attempt to answer this refinement of the question instead.
maybe this books can be useful : How to Solve it, by George Polya