I am seeking a mathematical analysis of an eggovoid rolling down an inclined plane,
for pedagogical reasons.
It is wellknown folk lore that the shape of an egg prevents it from rolling away from
the mother's nest, e.g., the article
"Why are eggs eggshaped?" (link), or,
a bit more formally,
"The Mathematics of Egg Shape" (PDF download) by Yutaka Nishiyama, from which I
copied this figure (and the one below):
If anyone has seen a mathematical analysis of this phenomenon, more precise than observing
that an eggovoid fits inside a cone, and a cone rolls a circular arc, I would appreciate
a pointer. Thanks!
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