Generalized Straightedge and Compass Fractal
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Define "the circles of a triangle" to mean the three circles centered at the vertices of the triangle with a radius equal to the "length multiplier" times the edge length of the triangle (it is most natural to let the length multiplier equal 1).
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Contributed by: Richard Southwell (June 2014)
Open content licensed under CC BY-NC-SA
Snapshots
Details
An exploration of the dynamics of this system is given in my YouTube video [1], where I describe how to make this fractal using only straightedge and compass.
Reference
[1] R. Southwell. The Generalized Circle Fractal: Exploration & Straightedge-Compass Construction [Video]. (Jun 2, 2014) www.youtube.com/watch?v=pX09sJSdr9I.
Permanent Citation
"Generalized Straightedge and Compass Fractal"
http://demonstrations.wolfram.com/GeneralizedStraightedgeAndCompassFractal/
Wolfram Demonstrations Project
Published: June 3 2014