Wittgenstein's rod

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Wittgenstein's rod is a thought experiment attributed to Ludwig Wittgenstein.

A rod passes through a sleeve, in which it can smoothly slide. The sleeve is fixed to a wall, forming a pivot. One end of the rod is moved in a circle whose plane is parallel to the wall. What shape does the other end of the rod describe?

The seemingly obvious answer is a circle, but in fact it describes an inverted cardioid.

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