fold a strip of paper n times · unfold at right angles · infinite complexity from one rule · runs locally
fold rule: new crease = always right · then mirror-flip existing sequence · gives 2^n−1 folds at iteration n · IFS: two affine maps each scale 1/√2 at ±45° · hausdorff dimension = 2.0 · at infinity the curve tiles the plane without gap or overlap · fill chart shows segments/bbox area approaching 1 as n→∞