Abstract
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'. © 2007 Springer-Verlag Berlin Heidelberg.
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CITATION STYLE
Akiyama, J., Fukuda, H., Ito, H., & Nakamura, G. (2007). Infinite series of generalized Gosper space filling curves. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 4381 LNCS, pp. 1–9). https://doi.org/10.1007/978-3-540-70666-3_1
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