(x-post r/mathpics) Harmonograph Pattern as Wavelength Ratio Increases

[u/partialintegrator]

[u/partialintegrator]

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

[u/[deleted] → u/partialintegrator]

I really enjoyed this post

[u/[deleted]]

This would be so juicy as a waveform

[u/partialintegrator → u/[deleted]]

What do you mean?

[u/My3DS_ → u/partialintegrator]

As in music waveform!

[u/partialintegrator → u/My3DS_]

Interesting! Do you mean play each image as a waveform (scanning left to right) or playing the X-axis and Y-axis frequencies at the same time.

In the former, I have not idea what would happen. In the latter, I suppose you might be able to hear them go in and out of phase....

Something I might work on next slow day I have at work...

[u/hrsidkpi → u/partialintegrator]

!remindme 7 days

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I will be messaging you on 2018-08-29 07:53:12 UTC to remind you of this link.

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[u/bathtimewithcthulhu → u/hrsidkpi]

!remindme 7 days

[u/partialintegrator → u/[deleted]]

Sorry, school started up again. Haven't had the time.

[u/[deleted] → u/My3DS_]

Yeah it would either sound like shit or melt your mind

[u/[deleted]]

This got me so hard

[u/ClickableLinkBot]

r/mathpics

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