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A 12-sided polygon (Dodecagon) has the property, that neighbouring sides appear 4 times in a ratio of 1:1 and 8 times in a ratio of 7:6. Where can such a Dodecagon be found?

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  • $\begingroup$ how are you counting "times", there are 66 ways to compare sides. $\endgroup$ – Jasen Dec 27 '19 at 0:03
  • $\begingroup$ The cross has 12 sides and you have 12 neighbouring sides. The arms of the cross are one sixth longer than their width. When you start with the top side and go clockwise, you get the ratios 1:1, 7:6, 7:6, 7:6, 7:6, 1:1, 1:1, 7:6, 7:6, 7:6, 7:6, 1:1. This is what I meant by 4 times in a ratio of 1:1 and 8 times in a ratio of 7:6. I hope that explains it. $\endgroup$ – ThomasL Dec 27 '19 at 17:01
  • $\begingroup$ oh neighbouring, 12 pairs of neighboring sideds, I missed that. but I get 6:7 1:1 7:6 repeated $\endgroup$ – Jasen Dec 27 '19 at 19:41
  • $\begingroup$ correct, if you want to keep the order you get 6:7 and 7:6, but for simplicity I always considered the ratio of the longer side divided by the shorter side. $\endgroup$ – ThomasL Dec 27 '19 at 20:00
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That would be

the flag of Switzerland.

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