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Möbius Strip

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A Moebius strip is one-sided nonorientable surface obtained by cutting a closed band into a single strip, giving it half a twist, and then reattaching the two ends.

Möbius strip is a college-level concept that would be first encountered in a topology course.

Prerequisites

Surface: A surface is a two-dimensional piece of three-dimensional space.
Topology: (1) As a branch of mathematics, topology is the mathematical study of object's properties that are preserved through deformations, twistings, and stretchings. (2) As a set, a topology is a set along with a collection of subsets that satisfy several defining properties.

Classroom Articles on Topology (Up to College Level)

  • Closed Set
  • Point-Set Topology
  • Dimension
  • Projective Plane
  • Homeomorphism
  • Projective Space
  • Metric
  • Subspace
  • Metric Space
  • Topological Space
  • Neighborhood
  • Torus
  • Open Set