TL;DR
This paper reconstructs Donald Preece's work on tredoku patterns, a puzzle-inspired configuration of diamond-shaped tiles, confirming his conjectures and advancing understanding of these geometric arrangements.
Contribution
It completes and verifies Preece's original conjectures on tredoku patterns, providing a foundational analysis of these tile configurations.
Findings
Confirmed the conjectures on tredoku patterns
Established properties of diamond-shaped tile configurations
Reconstructed Preece's original work
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.
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Taxonomy
TopicsQuasicrystal Structures and Properties · Mathematics and Applications · Advanced Mathematical Theories