Möbius strip oor Indonesies
Möbius strip
en
Alternative spelling of Möbius strip.
Vertalings in die woordeboek Engels - Indonesies
pita Möbius
en
one-sided surface
Geskatte vertalings
Vertoon algoritmies gegenereerde vertalings
Prenteboek
voorbeelde
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Voorbeelde moet herlaai word.
A mathematical version asks, "Why did the chicken cross the Möbius strip?"
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However, the underlying topological spaces within the Möbius strip are homeomorphic in each case.
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There have been several technical applications for the Möbius strip.
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The Euler characteristic of the Möbius strip is zero.
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The Möbius strip has the mathematical property of being unorientable.
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This single continuous curve demonstrates that the Möbius strip has only one boundary.
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Mathematics has directly influenced art with conceptual tools such as linear perspective, the analysis of symmetry, and mathematical objects such as polyhedra and the Möbius strip.
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However, the Möbius strip is not a surface of only one exact size and shape, such as the half-twisted paper strip depicted in the illustration.
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Whereas a Möbius strip is a surface with boundary, a Klein bottle has no boundary (for comparison, a sphere is an orientable surface with no boundary).
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The complete open Möbius band is an example of a topological surface that is closely related to the standard Möbius strip, but that is not homeomorphic to it.
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Möbius strips are common in the manufacture of fabric computer printer and typewriter ribbons, as they let the ribbon be twice as wide as the print head while using both halves evenly.
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Consequently, in music theory, the space of all two-note chords, known as dyads, takes the shape of a Möbius strip; this and generalizations to more points is a significant application of orbifolds to music theory.
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A Möbius strip, Möbius band, or Möbius loop (UK: /ˈmɜːbiəs/, US: /ˈmoʊ-, ˈmeɪ-/; German: ), also spelled Mobius or Moebius, is a surface with only one side (when embedded in three-dimensional Euclidean space) and only one boundary.
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Finding algebraic equations, the solutions of which have the topology of a Möbius strip, is straightforward, but, in general, these equations do not describe the same geometric shape that one gets from the twisted paper model described above.
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According to the artist the piece "began as an exploration of the Möbius strip, a product of pure mathematics formed by joining two ends of a strip of paper after giving one end a 180 degree twist, thus creating only one edge.
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An infinite number of topologically different embeddings of the same topological space into three-dimensional space exist, as the Möbius strip can also be formed by twisting the strip an odd number of times greater than one, or by knotting and twisting the strip, before joining its ends.
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If the strip is cut along about a third of the way in from the edge, it creates two strips: One is a thinner Möbius strip – it is the center third of the original strip, comprising one-third of the width and the same length as the original strip.
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Rather, mathematicians refer to the closed Möbius band as any surface that is homeomorphic to this strip.
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18 sinne gevind in 4 ms. Hulle kom uit baie bronne en word nie nagegaan nie.