John Snow

A permutation $f$ on $\{0,1,2,3\}$ can be viewed as a $4\times 4$ grid of squares with the $(i,j)$-square colored green if $f(i)=j$ and yellow otherwise. This image shows all of the permutations on $\{0,1,2,3\}$ arranged so that each each grid matches its neighbors along all shared borders. The image is painted with strokes from Vincent van Gogh's "Wheatfield with Cypresses" using a patch-matching algorithm.

This image is based on the painting "The Scream" by Edvard Munch. First, a coordinate system is imposed on the painting. Then a random continuous function from $[-1,1]\times[-1,1]$ into the painting is generated using functions from precalculus. This image is the inverse image of the painting under the continuous function. The result can be compared to the reflection of the painting in a complex funhouse mirror. The image inherits symmetry, repetition, and rhythm from the continuous function. It inherits colors, some texture, and occasional figurative artifacts from the painting.