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

... call the cube mentioned above a unit cube . And now let us note the following obvious fact. In spite of a very large size, our unit cube is just a negligibly small part of the 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 ...

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