Talk:Superegg

Equation nuance

The egg is mentioned in ISBN 9781402757969 (The Math Book by Pickover)p. 428 shows the equation as a strict equality. I wouldn't be able to say either way ...--Billymac00 (talk) 03:32, 26 December 2009 (UTC)

This refers to the set of points. When only strict equal, only the surface points fulfil the equation. With the inequality also internal points belong to the set; it is solid. Unless you have x-ray vision this does not matter :) Mark Ruvald 82.143.236.166 (talk) 09:10, 23 January 2010 (UTC)

Why can it stand?

The article says it can stand due to the curvature being 0 at the tips, however clearly this is also true of a rotated ellipsis or circle. Thomasda (talk) 08:07, 29 August 2013 (UTC)

The gaussian curvature of a sphere of radius r is $1/r^{2}$ which is strictly positive. Likewise ellipsoids all have strictly positive curvature.

I do think the statement needs to be sharpened somewhat. Its vague about which type of curvature it is. If its Gaussian curvature a cylinder also zero gaussian curvature but is not as stable. The ends are flat-umbilics and all sectional curvatures are zero which might be enough, but Monkey saddle also has this property.--Salix (talk): 10:13, 29 August 2013 (UTC)

Volume equation

Is there a particular reason why the volume equation uses the Gamma function instead of the Beta function? tiral (talk) 02:48, 19 October 2023 (UTC)