WOLFRAM|DEMONSTRATIONS PROJECT

Limits of Tree Branching

​
position of first branch
number of branchings
show branches
A single stem branches in two, then each branch in turn branches in two, and so on. At each step, the tips of the new branches have the same geometrical relationship to the previous branch as the first branches had to the original stem. Each dot represents the tips of branches. Vary the position of the first branch, and see the radically different limiting shapes produced.