English

The Pattern Complexity of the 2-Dimensional Paperfolding Sequence

Combinatorics 2024-09-06 v1

Abstract

We present an exact formula for the number of distinct crease patterns in a square shaped region of a given size that appear in the 2 dimensional paperfolding structure.

Keywords

Cite

@article{arxiv.2409.03068,
  title  = {The Pattern Complexity of the 2-Dimensional Paperfolding Sequence},
  author = {Johan Nilsson},
  journal= {arXiv preprint arXiv:2409.03068},
  year   = {2024}
}

Comments

32 pages, 36 figures

R2 v1 2026-06-28T18:34:36.663Z