Drawing Some Plane Curves Using Envelopes of Lines

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An alternative to drawing a curve by plotting points is to draw it as the envelope of its tangent lines. Some of the envelopes in this Demonstration have applications in string art.

Contributed by: Carine You (February 2017)
Open content licensed under CC BY-NC-SA


Snapshots


Details

This was a project for Advanced Topics in Mathematics II, fall 2016, Torrey Pines High School, San Diego, CA.

References

[1] T. Iwamoto. "Lines and Circles." (Feb 1, 2017) www.takayaiwamoto.com/Lines_Circles/Lines_Circles.html#hypocycloid.

[2] A. Rossiter. "String Art." (Feb 1, 2017) www.antiprism.com/album/865_string _art/index.html.



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