You may know from The Art of Computer Programming §4.1 (citing W. Penney, 1965) that, just as any positive real number can be represented by a bit string in base 2, any complex number can be represented by a bit string in base –1±i. Here I express the bits of that representation as bits of color values.

This is only an arbitrary crop of an image consisting of 2¹⁸ pixels; get 2²² colors (png, 373 KB). The full 24-bit version will have to wait for me to get cleverer about use of memory. (Later: Success.)

When I say I make mathematical pictures, the response often is: “Like fractals?” Some of my designs have chaotic reflections, but this is my first fractal in many years.