7.1 - Percolation in Nature
27. Growing a Scattered-Seed Forest
28. Growing a Forest from a Single Tree
29. Jell-O Experiment
16. Modeling a Scattered-Seed Forest
17. Gathering Statistics in Blaze
18. Percolating Forests
Think again about the burning forest. When tree density is low, trees do not form a percolating cluster, and the fire does not spread very far. In contrast, when the density is high, trees do form a percolating cluster, and the fire spreads across the forest. But what happens in between? And what does a percolating cluster look like, anyway? Can a percolating cluster be a fractal?
To answer these questions, we study the method of growing a "forest'' by hand. We call this method a model. Then we study the same model using the computer.
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