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Providing a digitally-made version of Zach Teitler's idea.

edit approved Jan 11, 2023 at 14:47

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I'm not sure if this is a counterexample, but I think it might be. It doesn't seem like the big coin, with diameter $1-\epsilon$, can move right, up, or down. (I apologize for the poor drawing.)

square with big coin and four small coins

Edit by OP: Here's another look at your idea.

answered Jan 11, 2023 at 14:15

Zach Teitler

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