S MONNIER

Since 2011, I started exploring a type of fractal patterns slightly different from the ones described in the essay about algorithmic worlds. Some blog posts explaining the creation process, the relevant algorithms and the underlying mathematics are collected below... As we have seen above, a pictorial algorithm working "pixel by pixel" takes the coordinates of a pixel, and returns a color. Mathematically, it is nothing but a function from the plane into color space. The computer produces a digital image by evaluating this function at the positions of the pixels. The image actually computed is only a part, limited in size and in resolution, of an infinite image extending over the whole plane. For most algorithms, however, only a tiny part (of measure zero, in mathematical terms) of the plane displays aesthetically interesting structures... It produces structures everywhere in the plane, so there is actually an infinite image to explore.