What is it about?

A mechanical computer that draws an algebraic curve is a useful device, and Mathematicians Michael Kapovich and John Millson have shown that a design always exists. See this link for an explanation of how this paper designs these devices and an animation of the results: http://mechanicaldesign101.com/2016/08/03/mechanical-computation-and-algebraic-curves/

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Why is it important?

This simplifies the construction of the linkage that is guaranteed to exist for an arbitrary algebraic plane curve

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This page is a summary of: Synthesis of a linkage to draw a plane algebraic curve, Mechanism and Machine Theory, May 2017, Elsevier,
DOI: 10.1016/j.mechmachtheory.2016.12.005.
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