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Möbius strip

In mathematics, a Möbius strip, Möbius band, or Möbius loop is a surface that can be formed by attaching the ends of a strip of paper together with a half-twist. As a mathematical object, it was discovered by Johann Benedict Listing and August Ferdinand Möbius in 1858, but it had already appeared in Roman mosaics from the third century CE.

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Properties

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In popular culture

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Map overview Semantic statistics

Möbius strip

Nodes218
Edges217
Triples165
Avg. degree1.99
Density0.009174
Components1

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Möbius strip

Top relations

related to In popular culture · 32
Möbius strip → Aplicada, Because, Belgium, Brazil, Charles, Charles Olson, Corrado Cagli, Endless Ribbon, Escher, Expo, Google Drive, IMPA, Infinity, It, John Robinson's Immortality, José, Matemática Pura, Max Bill, Möbius, Möbius Band
related to history · 23
Möbius strip → Additionally, Aion, An, Another, August Ferdinand Möbius, CE, German, However, In, Independently, Ismail, Jazari, Johann Benedict Listing, Much, Möbius, Paris, Roman, Sentinum, Some, The
related to Making the boundary circular · 16
Möbius strip → Daniel Asimov, Euclidean, For, Geometrically Lawson's Klein, Half, In, Instead, Klein, Lawson's Klein, Möbius, One, Stereographic, Sudanese Möbius, Sue Goodman, The, This
related to Spaces of lines · 14
Möbius strip → Because, By, Each, Euclidean, Homogeneous, In, Lie, Möbius, One, Removing, The, Therefore, These, This
related to Surfaces of constant curvature · 13
Möbius strip → Although, Björling, Both, Euclidean, Gaussian, III, It, Meeks Möbius, Möbius, Riemannian, The, The Sudanese Möbius, William Hamilton Meeks
related to Properties · 12
Möbius strip → Cartesian, Euclidean, For, However, In, It, More, Möbius, Relatedly, The Möbius, This, With
related to Sweeping a line segment · 10
Möbius strip → Because, Cartesian, Euclidean, For, It, Möbius, One, Plücker's, The, This
related to Smoothly embedded rectangles · 9
Möbius strip → As, Instead, Mathematically, Möbius, Self-intersecting, The, Their, This, Without
is a · 8
Möbius strip → configuration space of two unordered points on a circle, homogeneous space, minimal surface in a hypersphere, NASCAR Hall of Fame, non-orientable surface, only tight Möbius strip, relative interior of a standard Möbius strip, setting of Arthur C
related to Polyhedral surfaces and flat foldings · 8
Möbius strip → For, In, Its, Möbius, The, The Möbius, This, With

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Important terminology

möbius strip surface strips one space two embedded boundary plane form circle displaystyle lines line euclidean many three-dimensional also surfaces

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Möbius stripis anon-orientable surface0.90text
Möbius stripis aminimal surface in a hypersphere0.90text
Möbius stripis aonly tight Möbius strip0.90text
Möbius stripis arelative interior of a standard Möbius strip0.90text
Möbius stripis ahomogeneous space0.90text
Möbius stripis aNASCAR Hall of Fame0.90text
Möbius stripis asetting of Arthur C0.90text
Möbius stripis aconfiguration space of two unordered points on a circle0.90text
those modeled by flat sheets of paperinstance ofThis behavior is different from familiar orientable surfaces in three dimensions0.80text
cylindrical drinking strawsinstance ofThis behavior is different from familiar orientable surfaces in three dimensions0.80text
or hollow ballsinstance ofThis behavior is different from familiar orientable surfaces in three dimensions0.80text
for which one side of the surface is not connected to the otherinstance ofThis behavior is different from familiar orientable surfaces in three dimensions0.80text

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