Triangular Numbers Modulo 3 Visual Proof Information Guide

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About of Triangular Numbers Modulo 3 Visual Proof

Details Triangular Numbers Modulo 3 (visual proof) News
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Details 3D Sum of Triangular Numbers (visual proof without words III) News
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Recent Updates

Details A Triangular Number Identity I (visual proof) Update
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Infinite series: summing reciprocals of triangular numbers (visual proof)
Infinite series: summing reciprocals of triangular numbers (visual proof)
Odd Squares as Difference of Triangular Numbers (visual proof)
Odd Squares as Difference of Triangular Numbers (visual proof)
Sum of Triangular Numbers I (visual proof)
Sum of Triangular Numbers I (visual proof)
Products of Odd Squares and Triangular Numbers (visual proof - updated version)
Products of Odd Squares and Triangular Numbers (visual proof - updated version)
A Multiplicative Triangular Number Recurrence (visual proof)
A Multiplicative Triangular Number Recurrence (visual proof)
Squares Modulo 3 (visual proof)
Squares Modulo 3 (visual proof)
Squares from alternating triangles (visual proof without words)
Squares from alternating triangles (visual proof without words)
Proof Without Words: Sum of Triangular Numbers
Proof Without Words: Sum of Triangular Numbers
Triangular Numbers Explained
Triangular Numbers Explained
Triangular Numbers | 1+2+3+...+n = n(n+1)/2
Triangular Numbers | 1+2+3+...+n = n(n+1)/2
Sum of Triangular Numbers II (visual proof via cannonballs)
Sum of Triangular Numbers II (visual proof via cannonballs)

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Last Updated: October 2, 2026

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Details Alternating Sum of Triangular Numbers (visual proof without words) Update
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Summary

This is a short, animated (wordless) This is a short video with a quick This video explains what triangular numbers are and the patterns associated with them. Two puzzles are at the end of the video ... A simple visualization of the standard trick to calculate the n-th

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