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Intermediate

The Gakopoulos proportion

Two concentric quarter circles and a square. What is purple : red?

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Solution

Purple : red is √2 : 1.

Solution by Stéphane Bernard.

The 2 purple segments are equal (symmetry) then it is a rotation of ABC around C of 45° with dilation of √2. So √2:1.

More solutions: https://x.com/Mirangu1/status/1935663504427819302

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