Geometry, Relativity and the Fourth DimensionCourier Corporation, 8. juni 2012 - 160 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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... imagine how 4 - D objects might appear to us , it is a great help to consider the analogous efforts of a 2 - D being to imagine how 3 - D objects might appear to him . The 2 - D being whose efforts we will consider is named A. Square ...
... Imagine slicing a 3 - D sphere up into infinitely many circles . Then imagine simultaneously rotating each of these circles around its vertical diameter through 90 ° . The sphere will thus be turned into a 2 - D figure consisting of ...
... imagine crushing the heavenly and infernal hemihyperspheres into the space of the hypersphere's largest compo- nent sphere to get a solid sphere . The solid sphere can be turned back into a hypersphere if we can somehow pull its insides ...
... imagine the space of Flatland to be a sort of elastic film that can be distorted by a pull in the direction of the third dimension . Fig . 32 . How is it that having the sphere pull up on a point between A. Square and the " blade " of ...
... imagine non - Euclidean space , and hence space is Euclidean ( i.e. , satisfies the Fifth Postulate ) . The argument that space is a creation of our own minds is an interesting one ; the idea is that we cannot see or imagine seeing ...