This is a picture of the "mating" of two quadratic Siegel polynomials, created using an original code written by J. Milnor. One can get a tiling of the plane by sewing these extremely wild fractals (one in red and the other in blue) along the boundary in a combinatorially precise way. The mathematical description of this mating operation is the subject of my joint work with Yampolsky; see Mating Siegel Quadratic Polynomials, J. Amer. Math. Soc. 14 (2001) 25-78.