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Generating Harmonic Motion

September 21, 2026

While trying to program the curves produced by Spirograph toys in Grasshopper, I took a slightly different path. The topic eventually led to a broader heading: harmonic motion, and from there, to the Fourier Series we looked at previously. This simple Python code models Fourier Synthesis, driven by circles of different radii in a very straightforward way. The Python component sets up a loop that calculates the effect of each circle to the x and y values, individually. In this…

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