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.
