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Community => Non-Fractal related Chit-Chat => Topic started by: Haversine on February 13, 2015, 03:02:22 PM




Title: Animation using Harmonograph equations
Post by: Haversine 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


https://www.youtube.com/watch?v=Yxu3myap3RE (https://www.youtube.com/watch?v=Yxu3myap3RE)


Title: Re: Animation using Harmonograph equations
Post by: Haversine 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

www.youtube.com/watch?v=n00TQInzw0E (http://www.youtube.com/watch?v=n00TQInzw0E)


Title: Re: Animation using Harmonograph equations
Post by: cKleinhuis on February 15, 2015, 09:51:07 PM
nice, but how is that different to "normal" sine wave animation? ???


Title: Re: Animation using Harmonograph equations
Post by: Haversine 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


Title: Re: Animation using Harmonograph equations
Post by: eiffie 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.