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What is the logic of bezier curves? (for Illustrator pen tool)

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1NR1:
Use this thinking:


     The bulge goes the opposite of the way you move the handle.

p3lb0x:
So, I am gonna pop in a make a small necro.

I recently tried actually programming some bezier curves, and to me that gave me a quite a bit better understanding of it. Not much on a mathematical level, or super intuitive level. But it really helped me actually understand what a bezier curve is (A series of control points to use in a parametric function). Even if it is pretty obvious from the various "pen" tools. The difference between bezier paths and higher order bezier curves was pretty cool to learn about. As I said, I recently programmed a bezier curve thing in Löve2d. Using this (really helpful) blog post to work off. And it was pretty fun and if you haven't done anything similar I highly recommend trying it out.

What is the logic of bezier curves? (for Illustrator pen tool)What is the logic of bezier curves? (for Illustrator pen tool)

The moving ball represents t going from 0 to 1 in the formulas for bezier curves.

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