• ### Representing permutations relatively compactly

Here is a more relative way to represent a permutation with the same economical number of bits.

• ### Representing permutations compactly

Here is a way to represent a permutation with a fairly economical number of bits.

• ### Jordan curve illustrations: drawing the curve

There is a Jordan curve such that every piecewise-linear path from the inside to the outside intersects the curve infinitely many times. I describe how to draw such a curve here, and do so.