Congruent potato paths

[bonanova]

This guy walks up to you and says, give me any two potatoes,
and I bet you that I can draw a closed curve on one of them,
a curve that divides the potato in half, and then draw
exactly the same curve on the other one.

Do you take the bet?

By "same curve" he means it has exactly the same
three-dimensional size and shape.

[Guest]

always wondered how they made Pringles!

[Guest]

Surely a torus makes geometry a hole lot more interesting?

Donut, though?

[Guest]

Donut, though?

would that be the ring shape - with the less fatening centre

[Guest]

This guy walks up to you and says, give me any two potatoes,

and I bet you that I can draw a closed curve on one of them,

a curve that divides the potato in half, and then draw

exactly the same curve on the other one.

Do you take the bet?

By "same curve" he means it has exactly the same

three-dimensional size and shape.

Actually, now that I think about it, I will take that bet: you can't divide a potato in half, or into any other proportions, with a curve. You need a surface.