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### Bézier Curves

Posted: Sat Aug 08, 2015 6:59 am
Yet another experiment, https://dl.dropboxusercontent.com/u/556 ... ezier.html
Bézier Curves of any degree can be visualized! You can also visualize straight lines, but that's sort of pointless.

### Re: Bézier Curves

Posted: Sat Aug 15, 2015 9:12 pm
Cool - I now understand Bezier Curves better than I ever did before.

...that is, until I did one of order 100. Got real trippy real fast
Screen Shot 2015-08-15 at 9.10.33 PM.png (339.59 KiB) Viewed 16979 times
Pretty psychedelic!

### Re: Bézier Curves

Posted: Sat Aug 15, 2015 10:43 pm
Hah, try doing one with each point going around the canvas in each corner, one in the upper right, upper left, bottom left, bottom right, and repeat that for a lot of points. The visualization looks really cool.

### Re: Bézier Curves

Posted: Sun Aug 16, 2015 10:47 am
wtg62 wrote:Hah, try doing one with each point going around the canvas in each corner, one in the upper right, upper left, bottom left, bottom right, and repeat that for a lot of points. The visualization looks really cool.
Try a square or pentagon, too! Whoaaa, spinning squares. Relates to geometric sequences in some way. (Haha, because it's very geometric?)
Also try a back-and-forth pattern. (Ex. (-100, -50), (100, -40), (-100, -30), (100, -20), etc. in Cartesian coordinates - very rough, and horizontal/vertical scale won't matter a lot). It's a straight line, except when it's not.
Similarly, try something like (-100, -50), (100, -50), (100, -40), (-100, -40), (-100, -30), (100, -30), etc.

If you think about it, Bézier Curves are just a 2D glorified binomial theorem

### Re: Bézier Curves

Posted: Tue Aug 18, 2015 1:42 pm
The canvas is 1024x512, so the corners are at (0,0), (1024,0), (0,512), and (1024,512).
If you want to consider the center of the canvas as (0,0), then the corners are (-512,-256), (512,-256), (-512,256), & (512,256).