An approximative calculation of the fractal structure in self-similar tilings

Details An approximative calculation of the fractal structure in self-similar tilings An approximative calculation of the fractal structure in self-similar tilings

2010-09-28

arxiv.org/abs/1009.5432v1

IEICE Trans. on Fundamantals, Vol.E94-A, No.2, pp,846-849, 2011

Physics

Physics and Society

5 pages, 6 figures

Scientific paper

Fractal structures emerge from statistical and hierarchical processes in urban development or network evolution. In a class of efficient and robust geographical networks, we derive the size distribution of layered areas, and estimate the fractal dimension by using the distribution without huge computations. This method can be applied to self-similar tilings based on a stochastic process.

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