Tredoku Patterns
arXiv:2407.10752
summary
The paper reconstructs Donald A. Preece's work on tredoku patterns—diamond‑shaped tile configurations inspired by newspaper puzzles—and proves the conjectures he proposed.
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.
39 pages, 32 figures. Some minor typos corrected, and small additional explanations added
Topics & keywords
#tredoku patterns#tiling#diamond tiles#puzzle combinatorics#conjecture proofdiamond-shaped tilestredokutiling configurationscombinatorial reconstructionconjecture resolution