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Infinite Series of Generalized Gosper Space Filling Curves

机译:广义游标空间填充曲线的无穷级数

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摘要

We report on computer search for generalized Gosper curve for 37 < N < 61, where N is the degree of the generalized Gosper curve. From the results of the computer search and some geometrical insight, we conjecture that the degree N satisfies N = 6n + 1. We investigate the existence of infinite series of generalized Gosper curves. We show how to generate these series and introduce two new methods, the 'decomposition method' and the 'modified layer method'.
机译:我们在计算机搜索中报告了37

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