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Möbius Strip by Steve Phelps

Möbius Strip by Steve Phelps
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2017-03-18 05:39
Coordinate GeometrySolid GeometryCalculus
This example demonstrates the construction of a Möbius strip, a topological structure with only one side and one boundary. It involves the use of Surface and CurveCartesian commands in coordinate geometry. By adjusting parameters, you can dynamically observe the changes in the Möbius strip. Suitable for high school students and math enthusiasts to learn topology and geometric construction.

GeoGebra Commands & Parameters

  1. Surface(((1 + (t / 2 * cos(u / 2))) * cos(u)), ((1 + (t / 2 * cos(u / 2))) * sin(u)), (t / 2 * sin(u / 2)), t, -1, 1, u, 0, (2 * π)) → 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, (4 * π)) → b