Consecutive Squares as Up/Down Sum of Odds 

This is a short, animated visual proof demonstrating how to visualize the sum of two consecutive squares as a rising then falling consecutive sum of odd positive integers.
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Here's a related video
• Squares as Consecutive...
This animation is based on a visual proof by Hee Sik Kim from the June 1993 issue of Mathematics Magazine (www.jstor.org/... page 166).
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