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Products of Odd Squares and Triangular Numbers (visual proof - updated version)
Triangular Numbers Modulo 3 (visual proof)
Perfect Numbers (even ones) are Triangular (visual proof) -- with bonus open problem!
Odd Squares as Difference of Triangular Numbers (visual proof)
Alternating Sum of Triangular Numbers (visual proof without words)
Sum of odd integers: a generalization (visual proof)
Proof Without Words: Sum of Triangular Numbers
Squares from alternating triangles (visual proof without words)
Calculating triangular numbers the fast way: visual proof
Simple Geometric Proof of Triangular Number Formula
Triangular Numbers Explained
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Last Updated: August 14, 2026
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