Linkages to Op-Art

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John Sharp: Linkages to Op-Art. In: Bridges 2006. Pages 497–502



Many artists using mathematical curves to generate lines in their work use Lissajous figures or cycloids. There are many other curves which can be drawn “mechanically” and linkages do not appear to have been used in an obvious way. In my op-art period many years ago, I used a simple linkage and I have resurrected this to create some new ideas following a particular interest in the lemniscate.

Extended Abstract


Used References

[1] Bob Brill, “The Endless Wave”, Bridges Proceedings 2002, p 56.

[2] A B Kempe, “How to draw a straight line: A lecture on Linkages”, London 1877

[3] John Sharp, “The infinite Lemniscate”, Infinity 2006/4.

[4] Details of the Cinderella package can be found at

[5] R C Yates, “A Handbook of curves and their properties”;

[6] R C Yates, “Tools, A Mathematical Sketch and Model Book”, LSU Press 1941

[7] Eugene V Shikin, “Handbook and atlas of Curves”; CRC Press 1995


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