Figures for "Efficient trees"

Cameron Browne

Figure 1. Construction based upon the Pythagorean theorem.

Figure 2. First four iterations of the Pythagorean trees P45 (top row) and P30 (bottom row).

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

Figure 4. Standard tree P25 for i={2, 3, 4, 5, 6, 7}.

Figure 5. Greedy tree P25 for i={2, 3, 4, 5, 6,7}.

Figure 6. Standard and greedy forms of P30 at i=12 (8,191 segments).

Figure 7. Standard and greedy forms of P15 at i=12 (8,191 segments).

Figure 8. Self-overlapping outline of P30 at i=15 (65,535 segments) and w=0.3.

Figure 9. Fractal dimension (Db) plotted against weighting w for trees P5..45.