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

... the manifold into the manifold with singularity or orbifold. In this case the mentioned edges form a singular set of the orbifold. Let us note that the manifold admits the Lobachevski geometry everywhere except the singular edges. Three-dimensional orbifolds Euclidean orbifolds For any three-dimensional Euclidean orbifold, there exist a basic set — a curvilinear polyhedron from which one can obtain a given orbifold by identifying pairwise its certain faces. The Borromean rings and a three-dimensional ...

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