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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... inside a hypersphere of a given radius r . πρ . The 1 - D space inside a 1 - D sphere of radius r is the length 2r . The 2 - D space inside a 2 - D sphere of radius r is the area r2 . The 3 - D space inside a 3 - D sphere of radius r is ...
... inside a square . The idea is that since the fourth dimension is perpendicular to all of our normal 3 - D space directions , our enclosures have no walls against this direction . Everything on Earth lies open to a 4 - D spectator , even ...
... inside of each edge of the octagon . ( 3 ) How many hypercubic feet of hypervolume are there in a hyper- cube each of whose edges is two feet long ? ( 4 ) The formula for the hypervolume of a hypersphere of radius r is obtained by ...
... inside his head , how can we represent his " higher - dimensional " thoughts ? Why would it be difficult for him to communicate these thoughts to his fellow Flatlanders ? 2 NON - EUCLIDEAN GEOMETRY And then along came Sphere. 16 GEOMEtry ...
... inside and outside the sphere's surface does not exist ) . Now , which of the lines that you can draw on a sphere's surface is the straightest ? That is , if A. Square and his friend Dr. Livingchip took a thread and pulled it taut ...