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Fantascience Digest, v. 1, issue 1, November-December 1937

Page 15

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Four Dimensional Difficulties By Milton A. Rothman Many science fiction stories have brought up a fascinating subject which is slightly difficult to comprehend at first, but which is one of the most interesting phases of the Einstein Theory. This is the matter of the shape of the universe. One of the statements which scientists use to buffalo the layman is the one about the universe being infinite and at the same time bounded.This statement, as with too many others, is open to interpretation in various ways. The best way to look at it is to consider the universe as being the surface of a sphere. But the universe is three dimensional---how can it be a surface? A sphere, which is a three dimensional solid has a two dimensional surface which is curved in the third dimension. Just imagine a flat piece of paper wrapped around a sphere and you can see what I mean by a two dimensional surface curved in the third dimension. Now expand everything one dimension,
 
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