Physics: Spinning an egg (or other top-heavy objects)?

I had one of those.... "Hmmmm" moments the other day when I was playing about my food the other day, and I can't think why this happens. I've done physics a bit, but I can't figure out this:.......

If you get a hard-boiled egg, and spin it (like a spinning top), if the wide part is at the bottom, it flops about, and spins rather badly.

If you spin it on the pointier (if that's a word) end, and spins rather damn well.

I've found this with a few items over time, not the least of which is a weeble... the whole point of which is that they always right themselves to stand on the weighted end. Why then is it, that they won't spin on the weighted end but will spin if they are upside down... like the egg.

It seems odd to me that with the C.o.G being higher up that it's more stable when spinning.

Anyone got a reasoning behind this? Or does no-one know what I'm talking about??? Try it with an egg!