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Orbifold: Difference between revisions
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(Created page with "== Introduction == An Orbifold is a concept in the field of mathematics, specifically within the domain of geometry and topology. It is a generalization of a manifold and, much like a manifold, it is a topological space with a local Euclidean structure. However, unlike manifolds, orbifolds allow for singular points of higher symmetry, which are locally modeled on quotients of Euclidean space by finite groups of isometries. <div class='only_on_deskto...") |
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An [[Orbifold]] is a concept in the field of [[mathematics]], specifically within the domain of [[geometry]] and [[topology]]. It is a generalization of a [[manifold]] and, much like a manifold, it is a topological space with a local Euclidean structure. However, unlike manifolds, orbifolds allow for singular points of higher symmetry, which are locally modeled on quotients of Euclidean space by finite groups of isometries. | An [[Orbifold]] is a concept in the field of [[mathematics]], specifically within the domain of [[geometry]] and [[topology]]. It is a generalization of a [[manifold]] and, much like a manifold, it is a topological space with a local Euclidean structure. However, unlike manifolds, orbifolds allow for singular points of higher symmetry, which are locally modeled on quotients of Euclidean space by finite groups of isometries. | ||
[[Image:Detail-77827.jpg|thumb|center|A 3D representation of an orbifold, showcasing its unique geometric properties.]] | |||
== Definition == | == Definition == | ||