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Jun 22, 2018 at 5:10 comment added Gerhard Paseman I was trying to come up with simple examples that would require a large number of congruent polygons for a proper decomposition. I decided to try a near square, or a square with a small right triangle glued to one edge so that it was half of a 1 by (2+epsilon) rectangle. Imagine my surprise when I found a dissection into 3 pieces. It makes me wonder if such polygons (with k=3) can be classified. Gerhard "Also Reminds Me Of Rep-tiles" Paseman, 2018.06.21.
Jun 21, 2018 at 3:58 history answered fedja CC BY-SA 4.0