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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... rotating each of these circles around its vertical diameter through 90 ° . The sphere will thus be turned into a 2 - D figure consisting of infinitely many overlapping circles . The process can ... rotation So SB B. The Fourth Dimension / 7.
Rudolf Rucker. SB Fig . 20 . Before rotation So SB B ' 0 A After rotation SA axis . So it seems that the way to turn the 3 - D solid that we have imagined into a 4 - D hypersphere is to rotate each of its component spheres 90 ° around ...
... rotate a 3 - D object about a plane to leave only a plane cross section of this object in our space . Another is that you can " move through obstacles " without penetrating them , by passing in the direction of the fourth dimension . To ...
... rotate a square around a line ( Figure 26 ) ? And everyone in Flatland would be able to tell , since everyone was ... rotated through the third dimension . I'm my own mirror image . Ha , ha , ha , ha ! Show me to the High Priest ! Now ...
... rotation was only half completed , all of you that would remain in our 3 - D space would be the plane around which the rotation was taking place . That is , you would look like a single vertical cross section of a human being - for if ...