How Many Different Rational Parametric Cubic Curves Are There? Part III, The Catalog
March-April 2000
Our journey to the answer to the question posed in the title is nearing an end. As I have played around with the ideas in these three chapters, I’ve begun to feel like I’m experiencing Zeno’s paradox—I keep finding subproblems and digressions, each one getting us another halfway to the solution. I’m going to restrain myself a bit this time, though, and power through to a final answer. To do this, I will have to defer some interesting discussions about homogeneous polynomials and their properties. Although this will get us an answer, ...
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