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Square Wheels

Square Wheels
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2019-03-28 00:04
PolygonTransformationParametric EquationGeometric ConstructionSlider Animation
This example demonstrates the rolling of a square wheel on a specific surface. Key mathematical concepts include parametric curves and geometric transformations. Using GeoGebra commands such as Intersect, Point, Circle, and OrthogonalLine, a dynamic model of a square wheel rolling on a cylindrical surface is constructed. Suitable for high school mathematics education and research.

GeoGebra Commands & Parameters

  1. Intersect(g, yAxis) → A
  2. Point(g) → F
  3. Circle(F, sqrt(2)) → d
  4. OrthogonalLine(F, g) → h
  5. Sequence(f(x - w), w, (-10 * a), (10 * a), (2 * a)) → l1
  6. OrthogonalLine(B, h) → i
  7. Intersect(d, i) → C, D
  8. Polygon(D, C, 4) → poly1, j, k, l, m, E, G
  9. Rotate(poly1, ((((-x(F))) / a * 45))°, F) → poly1'