Pythagoras tree (Modification #2)

The Pythagoras tree of modification #2 introduced in Lesson 3 has the motif which involves three parameters, the branching ratio r and two angles and , as shown in figure 6. Here, we assign the three parameters randomly at each stage of branching.

That is, we choose r in the range (0.3, 0.5) and both and in the range ( 5°, 35°) but is always smaller than . All this has been coded into Prog#7g. It appears that Prog#7g generates a more naturally looking tree than the original program Prog#3f, because the extremely small and large variations are being suppressed by a bell-shaped distribution of figure 4. This is a testament of the Central Limit Theorem, favoring a median over the extremes.

Figure 6. Motif for Pythagoras tree (modification #2)

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