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Hausdorff Dimension of Generalized Fibonacci Word Fractals

Authors :
Hoffman, Tyler
Steinhurst, Benjamin
Publication Year :
2016

Abstract

Fibonacci word fractals are a class of fractals that have been studied recently, though the word they are generated from is more widely studied in combinatorics. The Fibonacci word can be used to draw a curve which possesses self-similarities determined by the recursive structure of the word. The Hausdorff dimension of the scaling limit of the finite Fibonacci word curves is computed for $i$-Fibonacci curves and any drawing angle between $0$ and $\pi/2$.

Details

Database :
arXiv
Publication Type :
Report
Accession number :
edsarx.1601.04786
Document Type :
Working Paper