For instance, plotting the equation (x^2 + y^2 - 1)^3 - x^2y^3 = 0 on a graph yields a heart shape. (Try it for yourself) Digital images consist of a grid of pixels, each assigned a color defined ...

These higher-degree equations are much more difficult, of course; but part of the reason solutions didn't come easily was that algebra was tied to words and concrete images for such a very long time.

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