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arXiv · 1103.6171

Complexity of the Fibonacci snowflake

Alexandre Blondin Massé·Srečko Brlek·Sébastien Labbé·Michel Mendès France
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Abstract

The object under study is a particular closed curve on the square lattice $\Z^2$ related with the Fibonacci sequence $F_n$. It belongs to a class of curves whose length is $4F_{3n+1}$, 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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Alexandre Blondin Massé, Srečko Brlek, Sébastien Labbé, Michel Mendès France. 2011-03-29. Complexity of the Fibonacci snowflake. https://arxiv.org/abs/1103.6171

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