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Möbius Strip by Steve Phelps (2)

Möbius Strip by Steve Phelps (2)
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2014-11-18 05:10
Solid GeometryTransformationGeometric Construction
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This example demonstrates the construction of a Möbius strip, a two-dimensional topological structure with only one side and one boundary. It involves key mathematical concepts such as topology and geometry. By using the Surface and CurveCartesian commands, users can intuitively understand the construction process of the Möbius strip. This example is suitable for high school and above students for teaching topology and geometry.

GeoGebra Commands & Parameters

  1. Surface(((1 + (v / 2 * cos(u / 2))) * cos(u)), ((1 + (v / 2 * cos(u / 2))) * sin(u)), (v / 2 * sin(u / 2)), v, -1, 1, u, 0, 6.283185307179586) → a
  2. CurveCartesian(((1 + (1 / 2 * cos(u / 2))) * cos(u)), ((1 + (1 / 2 * cos(u / 2))) * sin(u)), (1 / 2 * sin(u / 2)), u, 0, 12.566370614359172) → b