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arXiv · 2310.12164

A New Transformation of the Magic Square of Squares

Christian Wolird
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Abstract

We show arithmetic triplets of Gaussian squares are in 3-to-1 correspondence with Pythagorean triples thereof. This correspondence would transform a solution to the Magic Square of Squares puzzle into a larger structure of perfect Gaussian squares. In particular, we obtain the backwards result that a puzzle solution would generate non-trivial near-miss solutions in the Gaussian integers. Results are applied to popular near-misses.

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Christian Wolird. 2023-10-01. A New Transformation of the Magic Square of Squares. https://arxiv.org/abs/2310.12164

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