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Möbius strip: Quiz

  
  

Question 1: The Möbius strip or Möbius band (pronounced /ˈmɜːbiəs/ or /ˈmoʊbiəs/ in English, [ˈmøːbiʊs] in German) (alternatively written Mobius or Moebius in English) is a ________ with only one side and only one boundary component.
Topological manifoldRiemann surfaceSphereSurface

Question 2:
Which of the following titles did Mbius strip have?
Mu00F6bius Strip
All Stripped Down
Mu00F6bius
First Mens Strip 2000-2002

Question 3: A closely related 'strange' geometrical object is the ________.
Klein bottleManifoldReal projective planeFiber bundle

Question 4: The artist ________ was especially fond of it and based several of his lithographs on it.
ItalyM. C. EscherSpainRome

Question 5: It was discovered independently by the German ________ August Ferdinand Möbius and Johann Benedict Listing in 1858.
Number theoryMathematicianMathematicsGeometry

Question 6: In ________ there are in fact two types of Möbius strips depending on the direction of the half-twist: clockwise and counterclockwise.
Vector spaceEuclidean spaceDimensionMathematics

Question 7: To obtain an embedding of the Möbius strip in R3 one maps S3 to R3 via a ________.
Stereographic projectionManifoldLambert azimuthal equal-area projectionConformal map

Question 8: In particular, the twisted paper model is a developable surface (it has zero ________).
Mean curvatureGaussian curvatureSecond fundamental formRicci curvature

Question 9: Consequently, in ________, 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.
Classical musicMusical notationMusical formMusic theory

Question 10: This image, on a page titled 'The Chrysopoeia of Cleopatra', has the appearance of an ________, and is referred to as the 'One, All'[4].
AlchemyOuroborosGnosticismSerpent (symbolism)
















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