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

... above-mentioned manifolds have the Euclidean geometry. What does it mean and what other geometries exist in addition? Most familiar and widespread geometries are Euclidean , spherical and hyperbolic . Note that the spherical geometry is sometimes called Riemann geometry and the hyperbolic geometry is often called Lobachevski geometry . In addition, there exist five so-called synthetic geometries in the three-dimensional space. Geometry, having originated from hands-on experience, remained, in fact,...

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