English

Tredoku Patterns

Combinatorics 2024-12-09 v3

Abstract

Donald A. Preece gave two talks in 2013, in which he introduced the notion of tredoku patterns. These are certain configurations of diamond-shaped tiles, inspired by the sukodu-like puzzle that appears in newspapers. Very sadly, Prof. Preece died in January 2014, before he was able to complete his work on this problem. This paper reconstructs his work, and settles (in the affirmative) the conjectures he proposed.

Cite

@article{arxiv.2407.10752,
  title  = {Tredoku Patterns},
  author = {Simon R. Blackburn},
  journal= {arXiv preprint arXiv:2407.10752},
  year   = {2024}
}

Comments

36 pages, 31 figures. Some minor typos corrected, and small changes to the introduction

R2 v1 2026-06-28T17:41:17.582Z