There is a natural interpretation of rarity for Avaxagoras art. To construct a circle-square pair, the algorithm executes a series of “moves” in which pixels are translated from the circle to the square. These moves are structured in such a ways as to construct a series of “pieces” that fit into the new shape. Accordingly, every pixel can be assigned a “move length” and the average move length represents the complexity of the generative process.
Because the generative process is randomized, the move length for any circle-square pair is taken as a draw from an underlying distribution. This distribution is roughly a Gaussian bell-curve. The most common circle-square pairs are those with average complexity. For a 1090-diameter circle, the average move length (i.e. complexity) is approximately 500. Complexity scores below 200 or above 700 are very rare.
Avaxagoras 