Counting Triangles Puzzle - My Solution ([16 x 2] + 8 + 4 = 44 triangles)
In solving this puzzle, I started by counting the smallest triangles and worked my way up to the largest. Throughout this process I repeatedly utilized the pattern-seeking strategies of finding concealed or embedded figures within the image, and categorizing shapes to distinguish the triangle shape at different magnifications. Each level of magnification also required the use of the rotational strategy of inverse drawing, by which I was able to recognize the same shape repeated in different orientations.
Counting Triangles Puzzle - Partner's Solution ([16 x 2] + 8 = 40 triangles)
Partner writes: "I simply added up the smallest visible triangles, then the slightly larger triangles that those created when connected, then the even larger triangles that those created when connected, from all different perspectives. I counted 40 triangles." In other words, he used the same technique and strategies as I did, with the exception that he failed to count the four largest triangles.
Name the Month Puzzle - My Solution (July)
In solving this puzzle, I initially failed to look at the image very closely and instead made a mental note of the fact that only two months -- June and July -- have four letters in their names. I then looked over the image to see which word it resembled more and noticed that the bottom half of the image formed the word "July," and the top half formed the same word backwards and upside-down. Although I did not consciously employ a strategy here, this realization depended on my visual-cognitive abilities to find concealed or embedded figures within the image (the word in the bottom half) and to recognize a pattern regardless of rotation (the "inverse drawing" in the top half).
Name the Month Puzzle - Partner's Solution (July)
Partner writes: "I immediately noticed that the design was symmetrical in one direction. By cutting the design down the center, the word "July" appears in a mirror image to itself." My partner thus utilized both the same strategies of finding embedded objects and mentally rotating patterns. Unlike me, however, he immediately noticed the symbols' visual resemblance to letters.
*Note: I don't have access to a printer or scanner; I therefore picked puzzles that could be solved without pencils and emailed my partner copies so we could solve them simultaneously and record our strategies. I then annotated all four images using software to provide a visual depiction of the strategies we used.
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