Beautiful rose patterns from angle and distance alone
Instead of (x, y), polar coordinates plot a point by saying "how far from the center (r), and at what angle (θ)." When r is defined as a function of θ, simply rotating through the angles and plotting the points can create amazing patterns.
How to read it: An equation such as r=cos(kθ) means "at angle θ, plot a point r units away from the center." Keep increasing θ from 0 and connect the points to create a curve.