Comment by glitchc

While this perspective has merit, it is hampered by the fact that all of the examples used are polar equations, and the illustrations are therefore unnecessarily dramatic. Given that a Cartesian representation of a polar relationship is always a planar projection of the underlying conic, extremums near valid points are to expected.

It would be more useful to visually demonstrate linear relationships but of course the errors there would not make for such a punchy blog post.