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Square wheeled bicycle

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Phil Todd

@polymnia

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A square wheeled bicycle can roll smoothly along a track with bumps which are inverted hyperbolic cosines.

In this model we have the curve y=-cosh(x).  The square’s side length can be set, and so can the initial point of contact with the curve.

Can you arrange things so that the center of the square follows a straight line?

Tags: catenary, cosh, locus
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