Definitions for mobius strip
mo·bius strip

Princeton's WordNetRate this definition:5.0 / 1 vote

1. Mobius stripnoun

   a continuous closed surface with only one side; formed from a rectangular strip by rotating one end 180 degrees and joining it with the other end

GCIDERate this definition:0.0 / 0 votes

1. Mobius stripnoun

   A mathematical object, or a physical representation of it, which is a two-dimensional sheet with only one surface. It is constructed or visualized as a rectangle, one end of which is held fixed while the opposite end is twisted through a 180 degree angle and joined to the fixed end. It is a two-dimensional object that can only exist in a three-dimensional space.

WiktionaryRate this definition:0.0 / 0 votes

1. Möbius stripnoun

   A one-sided surface formed by identifying two opposite edges of a square in opposite senses.

2. Möbius stripnoun

   A narrow strip given a half twist and joined at the ends, forming a three-dimensional embedding of the above.

WikipediaRate this definition:0.0 / 0 votes

1. 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. The Möbius strip is a non-orientable surface, meaning that within it one cannot consistently distinguish clockwise from counterclockwise turns. Every non-orientable surface contains a Möbius strip. As an abstract topological space, the Möbius strip can be embedded into three-dimensional Euclidean space in many different ways: a clockwise half-twist is different from a counterclockwise half-twist, and it can also be embedded with odd numbers of twists greater than one, or with a knotted centerline. Any two embeddings with the same knot for the centerline and the same number and direction of twists are topologically equivalent. All of these embeddings have only one side, but when embedded in other spaces, the Möbius strip may have two sides. It has only a single boundary curve. Several geometric constructions of the Möbius strip provide it with additional structure. It can be swept as a ruled surface by a line segment rotating in a rotating plane, with or without self-crossings. A thin paper strip with its ends joined to form a Möbius strip can bend smoothly as a developable surface or be folded flat; the flattened Möbius strips include the trihexaflexagon. The Sudanese Möbius strip is a minimal surface in a hypersphere, and the Meeks Möbius strip is a self-intersecting minimal surface in ordinary Euclidean space. Both the Sudanese Möbius strip and another self-intersecting Mobius strip, the cross-cap, have a circular boundary. A Möbius strip without its boundary, called an open Möbius strip, can form surfaces of constant curvature. Certain highly-symmetric spaces whose points represent lines in the plane have the shape of a Möbius strip. The many applications of Möbius strips include mechanical belts that wear evenly on both sides, dual-track roller coasters whose carriages alternate between the two tracks, and world maps printed so that antipodes appear opposite each other. Möbius strips appear in molecules and devices with novel electrical and electromechanical properties, and have been used to prove impossibility results in social choice theory. In popular culture, Möbius strips appear in artworks by M. C. Escher, Max Bill, and others, and in the design of the recycling symbol. Many architectural concepts have been inspired by the Möbius strip, including the building design for the NASCAR Hall of Fame. Performers including Harry Blackstone Sr. and Thomas Nelson Downs have based stage magic tricks on the properties of the Möbius strip. The canons of J. S. Bach have been analyzed using Möbius strips. Many works of speculative fiction feature Möbius strips; more generally, a plot structure based on the Möbius strip, of events that repeat with a twist, is common in fiction.

ChatGPTRate this definition:0.0 / 0 votes

1. mobius strip

   A Möbius strip is a surface with only one side and only one boundary curve. It is a two-dimensional geometric shape that can be constructed by taking a strip of paper, giving it a half twist and joining the ends together, forming a loop. This structure is remarkable because if you start at a point and trace a line along the strip, you will end up back at your starting point, having covered both sides of the strip without ever crossing an edge, illustrating its non-orientable nature. It was discovered independently by the German mathematicians August Ferdinand Möbius and Johann Benedict Listing in 1858.

WikidataRate this definition:0.0 / 0 votes

1. Möbius strip

   The Möbius strip or Möbius band, also Mobius or Moebius, is a surface with only one side and only one boundary component. The Möbius strip has the mathematical property of being non-orientable. It can be realized as a ruled surface. It was discovered independently by the German mathematicians August Ferdinand Möbius and Johann Benedict Listing in 1858. A model can easily be created by taking a paper strip and giving it a half-twist, and then joining the ends of the strip together to form a loop. In Euclidean space there are two types of Möbius strips depending on the direction of the half-twist: clockwise and counterclockwise. That is to say, it is a chiral object with "handedness". The Möbius band is not a surface of only one geometry, such as the half-twisted paper strip depicted in the illustration to the right. Rather, mathematicians refer to the Möbius band as any surface that is topologically equivalent to this strip. Its boundary is a simple closed curve, i.e., topologically a circle. This allows for a very wide variety of geometric versions of the Möbius band as surfaces each having a definite size and shape. For example, any closed rectangle with length L and width W can be glued to itself to make a Möbius band. Some of these can be smoothly modeled in 3-dimensional space, and others cannot. Yet another example is the complete open Möbius band. Topologically, this is slightly different from the more usual — closed — Möbius band, in that any open Möbius band has no boundary.

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1. mobius strip

   Song lyrics by mobius strip -- Explore a large variety of song lyrics performed by mobius strip on the Lyrics.com website.

Matched Categories

1. • Surface

How to pronounce mobius strip?

1. Alex

   US English

   David

   US English

   Mark

   US English

   Daniel

   British

   Libby

   British

   Mia

   British

   Karen

   Australian

   Hayley

   Australian

   Natasha

   Australian

   Veena

   Indian

   Priya

   Indian

   Neerja

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   Zira

   US English

   Oliver

   British

   Wendy

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   Fred

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   Tessa

   South African

How to say mobius strip in sign language?

Numerology

1. Chaldean Numerology

   The numerical value of mobius strip in Chaldean Numerology is: 5

2. Pythagorean Numerology

   The numerical value of mobius strip in Pythagorean Numerology is: 8

References

1. ^ Princeton's WordNet
   http://wordnetweb.princeton.edu/perl/webwn?s=mobius strip
2. ^ GCIDE
   https://gcide.gnu.org.ua/?q=mobius strip
3. ^ Wiktionary
   https://en.wiktionary.org/wiki/Mobius_Strip
4. ^ Wikipedia
   https://en.wikipedia.org/wiki/Mobius_Strip
5. ^ ChatGPT
   https://chat.openai.com
6. ^ Wikidata
   https://www.wikidata.org/w/index.php?search=mobius strip