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Martin's Map Artwork

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This Demonstration explores further the artistic possibilities of Martin's map. It requires the support of a C compiler.

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The graphics show up to 1000 colored orbits generated by up to 5000 iterations started from random initial values. Some initial values around the center are added to improve the overall appearance.

Change the zoom rate and drag the locator to explore new areas of this beautiful iterative mapping. More ways to explore Martin's map can be found in [2].

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Contributed by: Erik Mahieu (May 2016)
Open content licensed under CC BY-NC-SA

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References

[1] B. Martin, "Theory of the Simplified Hopalong Equations," Jan 12, 2010. www.dropbox.com/s/ae84a49cbx9hitk/Theory%20 of %20 the %20 simplified %20 Simplified %20 Hopalong.pdf?dl=0.

[2] I. Sassarini, "An Interactive Flight through Attractor Orbits Generated Using Martin's Hopalong Formula," Chrome Experiments. (Apr 22, 2016) www.chromeexperiments.com/experiment/webgl-attractors-trip.

[3] I. Sassarini, "Barry Martin's Hopalong Orbits Visualizer." (Apr 22, 2016). iacopoapps.appspot.com/hopalongwebgl.

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