>> Seriously though, if your goal is to create a bitmap representation of
>> the math curve, what difference does it make if you check every pixel in
>> the image to see if it lies on the curve, or you convert the curve into
>> a list of pixel-sized straight lines and then colour those pixels?
>> Different maths but same result.
>
> Sure. But nobody does that yet.

It's pretty much there though, not like the 90's where you got triangles 
100 pixels wide on supposedly curved shapes. Arguably you're never going 
to get to the exact situation where every triangle is 1 pixel wide 
because nobody will notice the improvement over a small amount of 
approximation, and it's thus better to spend the GPU time on other effects.

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