Empire of Fashion

[Bugbear]

No... That makes sense. I would have thought the sphere to be mobius in this case, but blue sounds right.

[Pleater]

No... That makes sense. I would have thought the sphear to be mobius in this case, but blue sounds right.

It is mobius, but only when you press the red button.

Glad someone is paying attention.

[Standard]

So is that pie are square, or pie are round to make turquoise sphere?

[Bugbear]

So is that pie are square, or pie are round to make turquoise sphere?

Shhh. We're dealing with elliptic curves and Fermat's Last Fashion Theorem. At least until the red button is pushed...

[Pleater]

Ah now I thought ellipses - definitely ellipses, I thought, but then there is the possibility of getting an astroid or hypocycloid.

That would never do, and it is so easy with the requirement being just

x to the power 2/3 plus y to the power 2/3 equal to 1

- and then you'd have ten singularities, four in the real plane, two at infinity and four complex double points - you could end up anywhere - or perhaps even worse, everywhere.

So you see, it has to be a circle.