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# Folding a paper into a sphere

## Question

Describe the dimensions needed to fold a single sheet of paper into a sphere.

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Theorema Egregium states that it's impossible.

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I can take any shape/size paper and crumple it into a ball...VOILA! a single sheet of paper "folded" into a sphere!

But seriously...I think we're starting to get into Map projections here...

There's probably a "more correct" answer, the but Goode Homolosine projection is pretty darn close...

Edited by Pickett
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you could cut the paper in such a way that it looks like a bunch of orange slices put together.

since you want a sphere, you would want the radius of the sphere *pi to be the height of the rectangle, and diameter of the sphere*pi to be the width.

that is the rectangle would be twice as wide as tall.

Edited by phil1882

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