Super Egg (extra footage)

This is a little extra bit from Alex Bellos on Supereggs.

NUMBERPHILE

Videos by Brady Haran

[HaZZb]

WHAT WHY WOULD YOU NOT CALL THIS "EGGSTRA FOOTAGE"?!?!?!?!?!?!?!!

[hamouz]

Call me childish but is a kinder surprise egg a super egg ?
P.S I am talking about the plastic container not the chocolate cover

[DracoMetallium]

Is it me, or does it look like the inside container of a kinder egg?

[oscarchampion]

That's not much extra footage why did you not leave in in the other video?

[marknn]

If an elliptic egg falls over but a super-elliptic egg does not fall over, at what exponent-power does this transition happen?
It must probably be somewhere between 2 and 2.5.  Or is it any value > 2 ?

[randomasdf]

In the main video he said the super-ellipse is halfway between the rectangle and the circle. And so doesn't it mean that 2.5 is not actually arbitrary as was said in this video but is actually special?

I'm confused now and don't know if 2.5 is special here (because halfway between the circle and the rectangle, as said in the main video) or arbitrary (i.e. he meant 'approximately halfway', since of course it kinda looks like it is halfway)(as was said in this extra video).

[antivanti]

What exponent gives an area that is exactly in the middle of the ellipse and the rectangle? Which one gives the least sharp corners? Are the answers to those questions universal for every ellipse/rectangle or unique to every individual case?

[skakdosmer]

A video about a Danish inventor - as a Dane I'm quite eggcited.

[skakdosmer]

At least one version of the egg actually has a practical use. It's designed to go into your freezer, and when you take it out, you can use it to cool your drink without thinning it.
I have a set of nine grannite dice (sadly without eyes) in a little suade pouch for the same purpose, but I find that I like traditional ice cubes better.

[ggping]

If it is a traffic roundabout, isn't  the minimum radius at any point of the super ellipse the critical value - and is there a way to calculate this?

[veggiet]

is the 3d shape actually defined by x^2.5 + y^2.5 + z^2.5? I ask because I would think the shape would have more cubic corners than this seems to have

[Nilguiri]

If Uri Geller said it, it was almost certainly a lie.

[joriammartinez]

I was wondering where did u buy that egg or where can u get it

[phampton]

I have heard it said there are no straight lines in nature or even in reality as a whole. A straight line is a theoretical idea that can't actually exist outside an equation,  is that correct?