Regular Paperfolding Sequence

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The regular paperfolding sequence is built using the Toeplitz construction: start with the repeating sequence and replace all the 0's consecutively by the terms of . Iterate this transformation; in the limit we get the desired sequence. It is then rendered as a polygonal path.

Contributed by: Michael Sollami (March 2011)
Open content licensed under CC BY-NC-SA


Snapshots


Details

J.-P. Allouche and J. Shallit, Automatic Sequences: Theory, Applications, Generalizations, Cambridge: Cambridge University Press, 2003.



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