广义Fibonacci字分形的豪斯多夫维数
Hausdorff Dimension of Generalized Fibonacci Word Fractals
摘要：
斐波那契字分形是最近被研究的一类分形，尽管它们所产生的字在组合学中得到了更广泛的研究。斐波那契字可以用来画一条曲线，该曲线具有由字的递归结构决定的自相似性。对于$i$ -Fibonacci曲线以及$0$和$π/2$之间的任意绘图角，计算了有限Fibonacci字曲线标度极限的豪斯多夫维数.
英文摘要：
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 $π/2$.
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