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How many edges are there? (see comments)
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I'm getting 24. If you fold the squares up, ignoring the octagons on each side, you count the lines dividing each square. There are 8 of these lines. Now the octagons both have 8 edges, and they don't share any edges with each other, so we have 8+8 more edges for a total of 24.
Notice that we don't have to count the edges of the squares, because those edges are shared with the edges of the octagons, and we've already counted those.
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