The goal of this puzzle is to find out which shape is identical to which. The top set is mine and the second set is my cousin's. We both used similar strategies in our attempts to solve the puzzle. Both of us selected one image and used the finding and matching techniques described in McKim's text. In this case, i decided to start with the bottom right shape because it looked easiest to identify, while my cousin chose to do it in chronological order. Both my cousin and I identified an easily recognizable shape, in most cases it was the "T", and built our perception of the overall shape around the T. This allowed us to mentally rotate the shape and find it's match. This ability to mentally view the imagined object from several viewpoints is called orthographic imagination. It is the key process used to figure out this puzzle.
The goal of this second puzzle is to find how many triangles make up this oddly shaped cat. The first example is my own and the second is my cousins. Both my cousin and I used McKim's finding strategy again for this puzzle, however i decided to start from the biggest triangle and work my way down to the smaller ones that made up the cats body and head. I treated the tail as a separate set of triangles because all the overlaps made it easy to get confused. My cousin started with the smaller triangles that made up the cat's eyes and worked his way up to the larger ones. He decided to count it mentally at first and found all twenty, but when he began numbering the pieces he had trouble locating all the triangles because of the overlapping pieces in the tail. We both found that we were constantly looking for three points to make up triangles as our eyes scanned the image.
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