In three dimensions,how can i transfom a doughnut shape into sphere without ripping through it?

Answer 1

From a purely practical viewpoint, if your doughnut shape is a solid torus and is made of sufficiently malleable material you can just hammer it until the hole in the middle closes then keep bashing away until you have changed the shape to a sphere. If your doughnut shape is a hollow lump (like a jam doughnut) then it's much trickier but if its made of a metal with a reasonably low melting point you might be able to strongly charge the doughnut inside an evacuated spherical mold then almost melt it and have it deform without puncturing the shell.

Answer 2

ACTUALLY, recently a russian mathmetician discovered the formula which allows a doughnut shaped object to become a sphere without ripping it. I dont remember his name though. I swear, it was on the front page of yahoo a while back, he was an ugly mo-fo though.

Answer 3

You can't. A torus (to use the technical term for doughnut ☺) isn't a 'simply connected' surface (that is to say, there exists at least one closed loop on its surface that cannot be contracted to a point without leaving the surface) while a sphere *is* simply connected.

Doug

Answer 4

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Answer 5

Watch next episode of Nova Science?

Answer 6

there always going to be a hole in the sphere. you can always offset the point of hole and hole size but its alway going to be a doughtnut.

Answer 7

You can't. That's one of the oldest math puzzles.