Self-Homographic Fractal Near the Peano Limit

This visualization creates a self-homographic fractal that approaches the space-filling property of a Peano curve. The fractal is constructed using recursive application of homographic transformations.

About the Visualization

This fractal uses proper homographic (projective) transformations to create a self-similar pattern that approaches, but never quite reaches, the space-filling property of the Peano curve.

A homographic transformation is a type of transformation that can be represented in the form: