Unrefinable Partitions of Triangular Numbers: Anti-Symmetry and a Bijective Link

A deep dive into the latest work on maximal unrefinable partitions of triangular numbers. We explore how even and odd n behave differently, the anti-symmetric structure around n^2, the role of the minimal excludent, and a striking bijection with partitions of n^2 into distinct parts. Plus edge cases, practical visuals, and open questions shaping future research.

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