Talk:Unit sphere

WikiProject Mathematics (Rated Start-class, Mid-importance)
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Mathematics rating:
 Start Class
 Mid Importance
Field: Geometry

Introductory sentence

Articles like this really need an introductory sentence or two - after all, wikipedia isn't a textbook or a scientific journal. Granted, putting abstract mathematical concepts into non-symbols can be very, very difficult, but wikipedia is one of the few venues where non-mathematicians may come across these concepts at all, so it's worth the effort. Perhaps something could be adapted from the introduction of ball (mathematics), which mentions the unit ball. - DavidWBrooks 18:44, 19 Apr 2004 (UTC)

Unit sphere or Unit ball?

Wrote the non-technical intro starting with "unit sphere" rather than "unit ball". In my opinion, the article should be titled "unit sphere" and "unit ball" redirected to it, rather than the other way around. Not a huge difference either way, but the rationale is: (1) the WP article on sphere is richer than the article on ball; (2) the use of the word sphere in mathematics is closer to ordinary language than the use of the word ball is. Hence it's slightly easier for the nonmathematical reader to get a handle on this (admittedly, not too difficult) subject by starting with 'sphere' and defining 'ball' in terms of it.Brian Tvedt 01:02, 23 August 2005 (UTC)

Done.--agr 15:27, 25 October 2006 (UTC)

I think this should include cartesian and spherical equations of the unit sphere as well as a parameterization.

In the current unit sphere article we use $A_n$ for the hypervolume of the $(n-1)$-dimensional unit sphere (i.e., for the "area" of the surface of the $n$-dimensional unit ball). However, the example of the current N-sphere article would suggest that we use $A_{n-1}$, presumably because it represents the $(n-1)$-dimensional volume of an $(n-1)$-dimensional object. Should we adjust the current article?
Also, perhaps this article should be merged with the N-sphere article. Or at least we could use the same notation: $V_n$ here is $C_n$ there, $A_n$ here is $S_{n-1}$ there. What do you think? Quantling (talk) 21:20, 17 June 2010 (UTC)