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Author Topic: Animation using Harmonograph equations  (Read 1205 times)
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Haversine
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russell.edmonds.12
« on: February 13, 2015, 03:02:22 PM »

The parametric equations modeling a Harmonograph were used to make this animation. Youtube takes a few seconds to switch to 720p HD, so the animation does not look very good for the first few seconds.
Russ


<a href="https://www.youtube.com/v/Yxu3myap3RE&rel=1&fs=1&hd=1" target="_blank">https://www.youtube.com/v/Yxu3myap3RE&rel=1&fs=1&hd=1</a>
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Haversine
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russell.edmonds.12
« Reply #1 on: February 15, 2015, 09:27:31 PM »

Sorry for the double post. I refined the animation a little bit and added a parametric index into a color map to provide color.
Youtube compression really takes a toll on the image.
Russ

<a href="http://www.youtube.com/v/n00TQInzw0E&rel=1&fs=1&hd=1" target="_blank">http://www.youtube.com/v/n00TQInzw0E&rel=1&fs=1&hd=1</a>
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cKleinhuis
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« Reply #2 on: February 15, 2015, 09:51:07 PM »

nice, but how is that different to "normal" sine wave animation? huh?
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Haversine
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russell.edmonds.12
« Reply #3 on: February 15, 2015, 10:14:38 PM »

The harmonograph equations I'm using contain four different sinwaves (two for each axis) with damping. The "art" is defining a trajectory in the sinwave parameter space to follow during the animation timeline. This is not just a Lissajous pattern if that is what you mean by "normal sinwave animation".
Russ
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eiffie
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« Reply #4 on: February 16, 2015, 06:52:14 PM »

I wonder what it would look like fractalized (each pendulum has a scaled version attached to it). Forget the connection to real physics.
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