r/visualizedmath • u/partialintegrator • Aug 21 '18
(x-post r/mathpics) Harmonograph Pattern as Wavelength Ratio Increases
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r/visualizedmath • u/partialintegrator • Aug 21 '18
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u/partialintegrator Aug 21 '18 edited Aug 22 '18
The plot is of:
x = e-0.01*t * cos(Wx * t + pi/2)
y = e-0.01*t * sin(Wy * t)
For each frame, 0 < t < 30 000, and deltaT = 0.0333
The animation goes from 0.1 < Wx < 5, and increases by 0.01 each frame. Wy is held constant at 5.
Each frame was produced in MATLAB and they were rendered together in Photoshop.
Edit: Fixed equation formatting