Dragon Curve

Paper-folding fractal — Hausdorff dimension 2

Parameters

Dragon Curve
Generated by repeatedly folding a strip of paper in half and unfolding — each fold right-turns the sequence.

The fold sequence at step n: take previous sequence, append 1 (right), append reversed-negated previous sequence.

Segments: 2^n − 1
Hausdorff dimension: 2
Fills a region (not a line) at infinite depth.

Four dragon curves tile the plane perfectly.
Segments:
Dimension: 2.000