Talk:Dividing a circle into areas

Rename article?

This article's title is kind of terrible. I'm pretty sure the phrase "dividing a circle into areas" is a very general phrase, and doesn't specifically refer to this problem. I think the title "Moser's circle problem" would be better. Nog642 (talk) 07:38, 1 September 2023 (UTC)

Comment on gap in 'proof'

Just found this (odd) page.

$f(n)=f(n-1)+\sum _{i=1}^{n-1}\left(2-n+ni-i^{2}\right)$

$=f(n-1)-n^{2}+3n-2+\sum _{i=1}^{n-1}\left(ni-i^{2}\right)$

Well, I guess this is like

f(n) - f(n-1) = C(n)

with c(n) cubic, so the answer is a quartic?

Anyone want to go in and sort this out?

Charles Matthews 17:38, 9 Feb 2004 (UTC)

Regular polygon?

What happens if one divides a circle using an inscribed regular polygon (i.e. "case (a)" as described in the "Lemma" section may occur)? More specifically, given a regular n-gon, what is $f(n)$ = <total number of areas created>? - SigmaEpsilon → ΣΕ 16:38, 15 March 2007 (UTC)

WP:Forum, but I guess it's just 2n... 8.8.202.167 (talk) 02:07, 7 January 2008 (UTC)

Link to circle

Nothing on this page links to circle and yeah, it should. But the text is pretty dense and I'm not going to figure out where. SchmuckyTheCat (talk) 18:13, 25 June 2018 (UTC)

Done, in the first sentence. Nog642 (talk) 07:38, 1 September 2023 (UTC)

Video explanation

The explanation here is helpful: https://www.youtube.com/watch?v=YtkIWDE36qU " This pattern breaks, but for a good reason | Moser's circle problem " — Preceding unsigned comment added by RichardNeill (talk • contribs) 00:50, 5 October 2023 (UTC)