Talk:Superegg

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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)[reply]

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)[reply]

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)[reply]

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)[reply]

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)[reply]