RecordNumber
3509
Author
Ventrella, Jeffrey
Crop_Body
Jeffrey Ventrella
Title of Article
Portraits from the Family Tree of Plane-filling Curves
Title Of Journal
Bridges
Publication Year
2019
Abstract
The classic dragon curve is an early example of a plane-filling fractal curve with a complex shape. As an exercise
in comparing the morphologies of similar curves, a taxonomy is being formulated to enable classification and
discovery of new curves. With an eye toward biological metaphor and self-similar aesthetics, a collection of
designs is being developed in parallel with the formulation of this taxonomy. It is based on two kinds of complex
number integers (forming a square or triangular lattice in the plane) which provide an algebraic framework for
categorizing and generating curves. Some techniques for rendering these curves are described, intended to bring
out the inherent characteristics of families of curves.