Template:Did you know nominations/Square pyramidal number
- The following is an archived discussion of the DYK nomination of the article below. Please do not modify this page. Subsequent comments should be made on the appropriate discussion page (such as this nomination's talk page, the article's talk page or Wikipedia talk:Did you know), unless there is consensus to re-open the discussion at this page. No further edits should be made to this page.
The result was: promoted by Kavyansh.Singh (talk) 12:12, 9 January 2022 (UTC)
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Square pyramidal number
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Square pyramid of cannonballs
- ... that a square pyramid of cannonballs (pictured) with n cannonballs along each edge of the square has a total of n(n + 1)(2n + 1)/6 balls, a square pyramidal number, in it? Source: https://oeis.org/A000330
- ALT1: ... that both the Greeks and the Japanese counted balls stacked into pyramids (pictured)? Source: Greeks: Federico, https://doi.org/10.1007/978-1-4612-5759-2; Japanese: Yanagihara, https://www.jstage.jst.go.jp/article/tmj1911/14/0/14_0_305/_pdf
- ALT2: ... that a single formula can be used to count balls stacked into pyramids (pictured), squares of all sizes in a chessboard, and acute triangles in an odd regular polygon? Source: https://oeis.org/A000330
- Reviewed: Template:Did you know nominations/Ken Lyotier
Improved to Good Article status by David Eppstein (talk). Self-nominated at 00:47, 27 December 2021 (UTC).
Congratulations on the GA promotion, David Eppstein! The article is in great shape, and it's about a very important topic. We used it as an early example when teaching induction, so having a good resource on Wikipedia is helpful for those who want to immediately learn more about the idea.
The article was nominated on time and is long enough; no close paraphrasing found; NPOV and well-cited; hooks are cited, AGF with the offline sources in the article. I find all of the hooks broadly appealing and interesting, although the lengths of ALT0 & 2 may turn some people off. The image is appropriately licensed, relevant, and clear at this resolution. QPQ done. I'll leave the choice of hook to the promoter, since while the lengths of ALT0 & 2 are not a problem for me, it's a judgment call. Again, good work, and congratulations. Urve (talk) 04:44, 30 December 2021 (UTC)- @Urve: Thanks! In case length rather than the technicality of the formula is a concern, here's a tighter version of ALT0:
- ALT0b: that the number of cannonballs in a square pyramid (pictured) with n cannonballs along each edge is n(n + 1)(2n + 1)/6?
- —David Eppstein (talk) 07:13, 30 December 2021 (UTC)
- That works! I don't think the formula is a problem - in fact, it may draw some more eyes to the article, because we rarely have formulas on the front page. My preference is for ALT0b in this case, but as always, it's a matter of taste, so leaving to the promoter. Urve (talk) 07:26, 30 December 2021 (UTC)
Promoting ALT0b to Prep 5, with the image – Kavyansh.Singh (talk) 12:12, 9 January 2022 (UTC)