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The one I came up with for 6 rectangles (divide the square down the middle on one axis, then into thirds on the other axis) I didn’t see in the 245 at the botto
by sleepyrectangle 4y ago
The one I came up with for 6 rectangles (divide the square down the middle on one axis, then into thirds on the other axis) I didn’t see in the 245 at the bottom of the article. I might have just skipped over it, but that one seems pretty trivial to me, so if they missed it, there must be some issue with their method.
Edit: I think I misunderstood. They are interested in the number of unique ratios, not including different ways that rectangles of the same ratio could be drawn to fill a square. The pictures just show one example of how the rectangles of each ratio could fill a square.
For my example, it looks like they have a square that is divided into the top third and bottom two-thirds, then the top third is divided in half, then the left half of that is divided into quarters. That’s another way of fitting six rectangles of ratio 1:1.5 into a square, besides the way I described above.
- deleted 4y ago[deleted]
- panic 4y agoYeah, exactly -- if you're curious, here are the 1:1.5 ratio 6-rectangle dissections after disabling all the code that removes duplicates: https://i.imgur.com/jbZcpFT.png https://i.imgur.com/jbZcpFT.png