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Image: The sum of the first n odd integers is n². 1+3+5+...+(2n-1)=n².

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The_sum_of_the_first_n_odd_integers_is_n²._1+3+5+...+(2n-1)=n²..gif(683 × 598 pixels, file size: 1,018 KB, MIME type: image/gif, looped, 61 frames, 20 s)
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Description: The first n odd integers viewed on a tetrahedron give a proof without words that their sum is n². The animation shows a 3D view of a tetrahedron which when rotated gives two representations of the same number : either stacked rows of consecutive odd numbers of dots 1, 3, 5,... or a square array of n² dots.
Title: The sum of the first n odd integers is n². 1+3+5+...+(2n-1)=n².
Credit: Own work
Author: V.pantaloni
Usage Terms: Creative Commons Attribution-Share Alike 4.0
License: CC BY-SA 4.0
License Link: https://creativecommons.org/licenses/by-sa/4.0
Attribution Required?: Yes

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