3-sphere
In mathematics, a 3-sphere, or glome, is a higher-dimensional analogue of a sphere. It may be embedded in 4-dimensional Euclidean space as the set of points equidistant from a fixed central point. Analogous to how the boundary of a ball in three dimensions is an ordinary sphere (or 2-sphere, a two-dimensional surface), the boundary of a ball in four dimensions is a 3-sphere (an object with three dimensions). A 3-sphere is an example of a 3-manifold and an n-sphere.
120-cell16-cell honeycomb24-cell24-cell honeycomb3-dimensional sphere3-manifold3D rotation group3 sphere4-polytope5-cell600-cellAlexander dualityAlexander horned sphereAlexander polynomialAllen HatcherArithmetic topologyBall (mathematics)Berge knotBinary icosahedral groupBing's recognition theoremBitruncationBoerdijk–Coxeter helixBorel conjectureCW complexCantellated tesseractCayley transformCerf theoryCharts on SO(3)Chiral knotClifford torusComputational topologyConjectureCoucher de soleil no. 1Dehn surgeryDiffeomorphismDuocylinderDuopyramidElliptic geometryEuler's formulaFibered knot
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3-sphere
In mathematics, a 3-sphere, or glome, is a higher-dimensional analogue of a sphere. It may be embedded in 4-dimensional Euclidean space as the set of points equidistant from a fixed central point. Analogous to how the boundary of a ball in three dimensions is an ordinary sphere (or 2-sphere, a two-dimensional surface), the boundary of a ball in four dimensions is a 3-sphere (an object with three dimensions). A 3-sphere is an example of a 3-manifold and an n-sphere.
has abstract
3-сфера — багатовимірний анало ...... ти будь-яку n-сферу для n ≥ 3.
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A esfera tridimensional ou hiperesfera é a mais simples variedade de dimensão 3.
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Die 3-dimensionale Sphäre oder ...... imensionalen Mannigfaltigkeit.
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En geometría, 3-esfera es la s ...... el significado de "n-esfera".
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En mathématiques, et plus préc ...... te quelle n-sphère pour n ≥ 3.
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In de topologie, een deelgebie ...... eer voor n ≥ 3 te beschrijven.
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In mathematics, a 3-sphere, or ...... a 3-manifold and an n-sphere.
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La 3-sfera è una figura geomet ...... rdo alla palla 4-dimensionale.
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Στα μαθηματικά, η 3-σφαίρα είν ...... να παράδειγμα 3-πολλαπλότητας.
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Трёхмерная сфе́ра, или трёхмер ...... границей четырёхмерного шара.
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title
Hypersphere
@en
urlname
Hypersphere
@en
wikiPageUsesTemplate
subject
hypernym
type
comment
3-сфера — багатовимірний анало ...... ти будь-яку n-сферу для n ≥ 3.
@uk
A esfera tridimensional ou hiperesfera é a mais simples variedade de dimensão 3.
@pt
Die 3-dimensionale Sphäre oder ...... imensionalen Mannigfaltigkeit.
@de
En geometría, 3-esfera es la s ...... el significado de "n-esfera".
@es
En mathématiques, et plus préc ...... te quelle n-sphère pour n ≥ 3.
@fr
In de topologie, een deelgebie ...... voorbeeld van een 3-variëteit.
@nl
In mathematics, a 3-sphere, or ...... a 3-manifold and an n-sphere.
@en
La 3-sfera è una figura geomet ...... rdo alla palla 4-dimensionale.
@it
Στα μαθηματικά, η 3-σφαίρα είν ...... να παράδειγμα 3-πολλαπλότητας.
@el
Трёхмерная сфе́ра, или трёхмер ...... границей четырёхмерного шара.
@ru
label
3-Sphäre
@de
3-esfera
@es
3-sfeer
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3-sfera
@it
3-sfero
@eo
3-sphere
@en
3-sphère
@fr
3-σφαίρα
@el
3-сфера
@uk
3차원 초구
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