Square Pair Sums to 60 @MathVisualProofs

Uploaded February 2026 | Updated September 2026, 2 weeks ago

Square Pair Sums to 60

This is an animation of a visualization from the wonderful article Square–Sum Pair Partitions by Gordon Hamilton, Kiran S. Kedlaya, and Henri Picciotto from the September 2015 issue of the College Mathematics Journal. You can read the article here:

jstor.org/stable/10.4169/college.math.j.46.4.264

The task is to pair up numbers between 1 and 2n so that each pair sums to a square. This visual is one of the over 4 million such pairs for the numbers between 1 and 60. Can you find another?

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#math #manim #squares #sums #numbertheory

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