Complexity of the Fibonacci snowflake
Abstract
The object under study is a particular closed curve on the square lattice 2 related with the Fibonacci sequence Fn. It belongs to a class of curves whose length is 4F3n+1, and whose interiors by translation tile the plane. The limit object, when conveniently normalized, is a fractal line for which we compute first the fractal dimension, and then give a complexity measure.
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