I find Oak trees to be very beautiful. The shape of an Oak tree is not symmetric but it feels like there is some definite pattern. The closest I can think of is Mathematical/Fractal concept of 'Pythagoras Trees'.
The image to the right has been generated based upon certain mathematical rules. Pythagoras tree belongs to the family of plane fractals. This is a shape replacement fractal.
Observe the similarity with the real Oak tree.
Initial Shape
We start with a square.
Replacement Shape
We replace square with the following shape.
Iterations
At every iteration the squares at the top are replaced with the replacement shape. The following image is after two iterations.
After ten iterations the image looks as shown right at the begining of the article. Pythagoras tree was first constructed by Albert E. Bosman (1891–1961), Dutch mathematics teacher, in 1942. The name for this fractalcomes from the fact that the replacement shape is traditionally used to depict Pythagoras Theorem. Other variations can be achived by varying the base angle.( 90 degrees in the above example).
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