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Orbifold: Difference between revisions
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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.]] | [[Image:Detail-77827.jpg|thumb|center|A 3D representation of an orbifold, showcasing its unique geometric properties.|class=only_on_mobile]] | ||
[[Image:Detail-77828.jpg|thumb|center|A 3D representation of an orbifold, showcasing its unique geometric properties.|class=only_on_desktop]] | |||
== Definition == | == Definition == | ||