A Pit of Flowsnakes

نویسنده

  • Bradley Klee
چکیده

Vector replacement rules allow formulation of the flowsnake planefilling curve as a bijection Z⟷Z2 and as a surjection ⟶2. The -function visits double and triple points predicted by Netto’s theorem. Triple points belong to a relatively simple set, while double points resist easy classification. This paper formulates and analyzes the -function. Methods applied to the flowsnake also apply to other plane-filling curves.

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عنوان ژورنال:
  • Complex Systems

دوره 24  شماره 

صفحات  -

تاریخ انتشار 2015