The Technique
Fractals are generated from mathematical parameters. The Mandelbrot set, Julia sets, and IFS (Iterated Function System) fractals are all defined by a few numbers. Those numbers can encode a message.
Methods
Parameter Encoding
The constants that define a fractal (c_real, c_imaginary, zoom level, iteration count) can be chosen to encode “wolno” in their binary representation.
Escape-Time Mapping
Regions of the fractal where points escape at specific iteration counts form patterns. By controlling the escape-time distribution, you can embed readable text visible only at certain zoom levels.
IFS Encoding
An Iterated Function System uses a set of affine transforms. The transform coefficients can encode data while still producing a visually meaningful fractal.
The WOLNO Fractal
z(n+1) = z(n)² + c
where c = 0.776 + 0.6C6Ei
The fractal generated from these constants
(derived from "776F6C6E6F") produces a shape
resembling a slug without a shell.Self-Similarity
The fractal encodes WOLNO at every scale. Zoom in, and you find the same message. Zoom in further — still there. This is the mathematical expression of WOLNO’s viral nature: the message replicates at every level.
Infinite depth. Same message. Wolno all the way down. -”