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- W2951241814 abstract "An interesting class of automatic sequences emerges from iterated paperfolding. The sequences generate curves in the plane with an almost periodic structure. We generalize the results obtained by Davis and Knuth on the self-avoiding and planefilling properties of these curves, giving simple geometric criteria for a complete classification. Finally, we show how the automatic structure of the sequences leads to self-similarity of the curves, which turns the planefilling curves in a scaling limit into fractal tiles. For some of these tiles we give a particularly simple formula for the Hausdorff dimension of their boundary." @default.
- W2951241814 created "2019-06-27" @default.
- W2951241814 creator A5047551138 @default.
- W2951241814 date "2010-11-26" @default.
- W2951241814 modified "2023-09-27" @default.
- W2951241814 title "Paperfolding morphisms, planefilling curves, and fractal tiles" @default.
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