Whether you're charting the seas or just doing some plotting in the complex plane, polar equations are the go-to tool for describing points via a distance and angle with respect to the origin.

\[(x^2 + y^2)^3 = (x^2 - y^2)^2,\]

whose graph is shown, describes a *Quadrifolium*. What is its equation in polar coordinates?

Which is the graph of the Archimedean Spiral?

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