Mathematics behind creating shapes using math nodes

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I have seen people are creating various shapes using math nodes in Blender. Not just simple shapes but very complex shapes for example like a batman logo. I have learned that they extract algebraic equation (for example y- mx + c =0) of the shape and then implement the equation using nodes in Blender.

Now my problem is I don’t know how to extract equations from a shape. Forget about complex shapes, I even don’t know for simple shapes. Can you please help me specifying what math topics I have to learn to achieve this. And how will I achieve these result?

Thanking you.

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Hello, it’s been 3 years, are you still interested in creating shapes using Mathematics?

I’ve been trying to achieve the same thing too and have fortunately been successful. I’d love to help, but I’m not sure where you get stuck.