A new method to describe branching patterns as one-variable array

T. Kitamura, H. Honjo

    Research output: Contribution to journalArticlepeer-review


    In nature, especially in non-equilibrium physics, we can see many branching growth patterns. We devised a new method for easily analyzing such pattern structures. A pattern growing in real space is transformed into a one-variable array without destroying the essence of its structure. To validate the method, we analyzed a fractal pattern as an example. By comparing the fractal dimension of the pattern with several exponents of the transformed one-variable array, we discuss the effectiveness of transformation into one-variable arrays.

    Original languageEnglish
    Pages (from-to)77-85
    Number of pages9
    Issue number2
    Publication statusPublished - Jun 2006

    All Science Journal Classification (ASJC) codes

    • Modelling and Simulation
    • Geometry and Topology
    • Applied Mathematics


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