2016/01/19 by Hoffman, Tyler, Steinhurst, Benjamin
#11B39 #28A80 #FOS: Mathematics #Metric Geometry (math.MG)
paper · doi:10.48550/arxiv.1601.04786
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 π/2.