Game visuals built with Claude (Anthropic), using the same mutual-information algorithm adapted from my astronomy research above.
What's happening under the hood: your points are rank-ordered (so each axis becomes uniform), joint densities are estimated with a k-nearest-neighbor search including corrections at the edges, and a copula baseline (the same calculation on shuffled data, averaged over dozens of iterations) is subtracted, leaving only the pure dependence between x and y. The colors are the brush you paint with, inspired by the energy bands astronomers observe in; the math sees only positions. Toggle info heat to recolor every dot by its own term in the MI sum: hotter dots are the points carrying the most information about the pattern.
Good attempts: a circle, an X, a smiley face, a checkerboard, a sine wave. Anything left-right symmetric tends to zero out correlation while mutual information keeps seeing structure, the same reason this method finds signals in astronomical data that classical cross-correlation misses.