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

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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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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.
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Author V.pantaloni

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28 December 2019

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Date/TimeThumbnailDimensionsUserComment
current10:30, 29 December 2019Thumbnail for version as of 10:30, 29 December 2019683 × 598 (1,018 KB)V.pantaloniOptimized to less than 1MiB
12:11, 28 December 2019Thumbnail for version as of 12:11, 28 December 2019683 × 598 (1.39 MB)V.pantaloniCross-wiki upload from en.wikipedia.org

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