Geometry, Relativity, and the Fourth DimensionDover Publications, 1977 - 133 sider This is a highly readable, popular exposition of the fourth dimension and the structure of the universe. A remarkable pictorial discussion of the curved space-time we call home, it achieves even greater impact through the use of 141 excellent illustrations. This is the first sustained visual account of many important topics in relativity theory that up till now have only been treated separately. |
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... ( hypersphere ) can be seen to be the set of quadruples ( x , y , z , t ) such that x2 + y2 + z2 + 12 = 1 in the xyzt coordinate system , we cannot say that we have a very good mental image of the hypersphere . Interestingly , mathemati ...
... hyperspherical universes floating in 4 - D space , notice that we could move onto higher levels by asserting that the 4 - D space in which our hypersphere floated was actually curved into the hyperhypersurface of a hyperhypersphere ...
... Hypersphere as being isomorphic to a real hypersphere under a 4 - D stereographic projection . You would take a hypersphere and an E3 that had one point in common , called S. Let N be the point on the hypersurface of the hypersphere ...
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THE FOURTH DIMENSION | 1 |
NONEUCLIDEAN GEOMETRY | 17 |
CURVED SPACE | 36 |
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