Figures for "Efficient trees"

Cameron Browne

Figure 1. Construction based upon the Pythagorean theorem.

Figure 2. First four iterations of the Pythagorean trees *P*45 (top row) and *P*30 (bottom row).

Figure 3. Breadth-first growth order of the standard tree.

Figure 4. Standard tree *P*25 for *i*={2, 3, 4, 5, 6, 7}.

Figure 5. Greedy tree *P*25 for *i*={2, 3, 4, 5, 6,7}.

Figure 6. Standard and greedy forms of *P*30 at *i*=12 (8,191 segments).

Figure 7. Standard and greedy forms of *P*15 at *i*=12 (8,191 segments).

Figure 8. Self-overlapping outline of *P*30 at* i*=15 (65,535 segments) and *w*=0.3.

Figure 9. Fractal dimension (*Db*) plotted against weighting *w* for trees *P*5..45.