Asymmetric Spirographs

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These spirographs are roulette curves obtained by rolling a circle of radius around a circle of radius .

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Explore orbits from two circular standing waves with large amplitudes () with the frequency sliders. Integer values (1 to 6) and reciprocals of integers (1/2 to 1/7) inputs give interesting patterns.

Crank up the cycles slider if the orbit is not closed.

See wave 1 morph into wave 2 using the morph slider (left to right).

Explore how phase shifts affect the orbits. For the integer and reciprocal of an integer inputs you can always find a symmetrical orbit, and another one with phase shift of wave 2 increased by . Or see how, with , a phase shift approaching obliterates the wave by interference.

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Contributed by: Dirk Elseviers (December 2015)
Open content licensed under CC BY-NC-SA


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