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The Pattern Complexity of the Sierpi\'{n}ski Triangle

Combinatorics 2025-10-09 v1

Abstract

We give exact formulas for the number of distinct triangular patterns (or subtriangles) of a given size that occur in the Sierpi\'{n}ski Triangle.

Keywords

Cite

@article{arxiv.2510.06493,
  title  = {The Pattern Complexity of the Sierpi\'{n}ski Triangle},
  author = {Johan Nilsson},
  journal= {arXiv preprint arXiv:2510.06493},
  year   = {2025}
}

Comments

24 pages

R2 v1 2026-07-01T06:22:45.844Z