Complexity of the Fibonacci snowflake
Metric Geometry
2011-04-01 v1
Abstract
The object under study is a particular closed curve on the square lattice related with the Fibonacci sequence . It belongs to a class of curves whose length is , 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.
Keywords
Cite
@article{arxiv.1103.6171,
title = {Complexity of the Fibonacci snowflake},
author = {Alexandre Blondin Massé and Srečko Brlek and Sébastien Labbé and Michel Mendès France},
journal= {arXiv preprint arXiv:1103.6171},
year = {2011}
}
Comments
6 pages, 1 figure