Animation using Harmonograph equations

[Haversine]

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>

[Haversine]

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>

[cKleinhuis]

nice, but how is that different to "normal" sine wave animation?

[Haversine]

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

[eiffie]

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