Triangular Numbers
49 videos • 1,983 views • by Mathematical Visual Proofs
Videos that are somehow related to the sequence of triangular numbers.
1
A Triangular Number Identity I (visual proof)
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2
[Private video]
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3
Visual Proof Short: Alternating Sum of Squares II
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4
Alternating Sum Of Squares (visual proof)
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5
Odd Squares as Difference of Triangular Numbers (visual proof)
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6
Infinite series: summing reciprocals of triangular numbers (visual proof)
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7
[Private video]
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8
[Private video]
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9
Sum of Squares II (visual proof)
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10
Sum of Triangular Numbers I (visual proof)
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11
A Dozen Proofs: Sum of Integers Formula (visual proofs) #SoME2
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12
Visual Sum of Cubes III
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13
Pythagorean Theorem V (visual proof; Leonardo da Vinci)
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14
Sum of odd integers: a generalization (visual proof)
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15
Products of Odd Squares and Triangular Numbers (visual proof - updated version)
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16
Sum of Triangular Numbers II (visual proof via cannonballs)
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17
A Multiplicative Triangular Number Recurrence (visual proof)
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18
Visual Sum of Squares III (proof without words)
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19
Adding pentagonal numbers in 3D (proof without words)
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20
A Dramatic Finite Sum : Oblong Numbers II (visual proof without words)
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21
Every Cube is an Arithmetic Sum (visual proof without words)
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22
Unbelievable Equal Consecutive Sums (3D visual proof)
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23
[Private video]
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24
Perfect Numbers (even ones) are Triangular (visual proof) -- with bonus open problem!
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25
Visual Cube Sums! (from Nicomachus)
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26
Triangular Numbers Modulo 3 (visual proof)
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27
Alternating Sum of Triangular Numbers (visual proof without words)
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28
Eight Triangular Arrays (visual proof)
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29
Squares from alternating triangles (visual proof without words)
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30
Alternating sum of squares is triangular!
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31
3D Visual Sum of Odd Squares | proof without words
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32
Squares as Consecutive Up/Down Sums of Integers (visual proof without words)
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33
Five Classic Proofs without Words
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34
Geometry of the Twelve Days of X-mas (visual proof)
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35
Sum of Squares Visual Proofs: From Level 1 to Level 5
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36
Happy New Year 2024 as a Tetrahedral Number
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37
Best sum visual proof?
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38
Double sum produces cubes
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39
Summing integers with physics!
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40
3D Sum of Triangular Numbers (visual proof without words III)
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41
A 3D Triangular Number Recursion
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42
Sum of Cubes as Sum of Odds and more (visual proof VI)
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43
Tri-Nums Sums! (visual proof IV)
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44
Sum of Odd Cubes is Triangular (visual proof without words)
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45
Infinitely Many Infinite Sums Geometrically (visual proof)
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46
Summing cubes without words #phonk #phonkmath
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47
Two Infinite Series Sums from Regular Polygons (visual proof)
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48
Top four visual proofs?
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49
Sum of Cubes VII (visual proof without words)
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