Rigge Envelopes as Art Inspiration

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John Sharp: Rigge Envelopes as Art Inspiration. In: Bridges 2011. Pages 171–178



Many artists using mathematical curves to generate lines in their work use Lissajous figures or cycloids. The mathematician William Rigge introduced a new technique in a paper in the American Mathematical Monthly in 1920 which he called envelope rosettes. In this paper, I look at what he was doing and develop some art which takes his ideas in other directions.

Extended Abstract


Used References

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

[2] John Sharp, “Linkages to Op-Art”, Bridges Proceedings 2006, p XX.

[3] Robert Craig, "The Mechanical Drawing of Cycloids, The Geometric Chuck"; Bridges Proceedings 2006, p 203.

[4] H.S., SavoryGeometric Turning:Comprising a Description of the New Geometric Chuck, Longmans, Green & Co, 1873

[5] Ross Edwards, Microcomputer Art, Prentice-Hall of Australia Pty Ltd

[6] William F. Rigge, "Envelope Rosettes" American Mathematical Monthly, April 1920, pp151-157

[7] William F. Rigge, "Harmonic Curves", Creighton University, Omaha,1926. An electronic copy can be found at www.Hathitrust.org (Accessed Jan 2011)

[8] Jack Tait, “Taitographs - drawings made by machines”, Bridges London Proceedings, 2006 p 4


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