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The Three-Dimensional Universe, Where We Are Not Living...

... Universe. An imaginary unit cube of this kind can be derived at any other point of space. And at the same time, one could say that two cubes derived at the different points of space are equal. That is the main idea about the essence of the Euclidean manifold. According to this idea, any point of the Euclidean manifold is surrounded by the cube of the corresponding size. More accurately, this can be defined as follows. Three-dimensional Euclidean manifold is the set M 3 , whose any point is the center ...

Modified: 30.05.2006
space , manifold , geometry , Euclid , Lobachevsky , Riemann , mathematics , multi-dimensional , forms , point , sphere , torus , polyhedral , orbifolds
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