PARAMETRIC
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Uploaded by amt253 on Sep 26, 2008
PARAMETRIC is a study in graphing parametric equations put together by Max Tohline. The equations are given at the start of the video, and the t-step is varied in such a way as to produce a variety of lovely graphs. Add Philip Glass (Primacy of Numbers from the Naqoyqatsi soundtrack), and you've got a film. Or, rather, that's how I made this particular film. Enjoy.
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- 11:08Parametric Equations 1by khanacademy81,235 views
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hey those are a lot of cool graphs can you list a few
MrKwanlee 1 year ago
@MrKwanlee Sure, no prob. All of the graphs you see are made from the parameters listed at 0:08 in the video (xt1 = sin (15t); yt1 = sin(16t)). By varying the t-step, you get all the different graphs, even though the equations are unchanged. I set the t-step, as shown at 0:11, according to the expression 100pi/n.
amt253 1 year ago
@MrKwanlee More info: Every graph in the video is just a different n, starting from n=1 and going up to n=400, which is reached at 4:11 (n=400 is a blank graph). Then I go from 400 back to 1 faster, and then from 1 back to 400 even faster.
(The t-max is just 100pi, and all the other numbers at 0:11 are slightly more than +-1 in order to create a comfortable frame for the graphs to display in.)
amt253 1 year ago