File:The sum of the first n odd integers is n². 1+3+5+...+(2n-1)=n²..gif
%3Dn%C2%B2..gif){kind=small}
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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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Summary
| Description |
English: 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. |
| Date | |
| Source | Own work |
| Author | V.pantaloni |
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I, the copyright holder of this work, hereby publish it under the following license:
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| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 10:30, 29 December 2019 | | 683 × 598 (1,018 KB) | V.pantaloni | Optimized to less than 1MiB |
| 12:11, 28 December 2019 |  | 683 × 598 (1.39 MB) | V.pantaloni | Cross-wiki upload from en.wikipedia.org |
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%3Dn²..gif){kind=link}