The Bakerβs Map is the simplest model of chaotic mixing. Each step stretches the unit square horizontally by a factor of two, cuts it at the midpoint, and stacks the right half on top of the left. The map is measure-preserving, so a uniform distribution stays uniform forever β but points colored by their initial height interleave into ever-finer horizontal bands, making the stretch/cut/stack mechanism visible. This is the same kneading action that gives chaotic systems their mixing property: after enough folds, any two nearby points end up far apart.