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Rotate Spokes

Rotate Spokes
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2018-05-31 17:40
CircleFunctionTransformation
This example demonstrates the geometric phenomenon of generating circular patterns by rotating spokes. It involves core math concepts like circles, geometric transformations, similarity transformations, and logarithmic functions. Construction highlights include using GeoGebra commands/objects such as Point, Circle, PolyLine, and Zip. Suitable for high school students learning geometric transformations, coordinate geometry, and function graphing.

GeoGebra Commands & Parameters

  1. Point(xAxis) → A
  2. Circle(A, 5) → c
  3. Circle(A, 1) → d
  4. Circle(A, 2) → e
  5. Circle(A, 3) → f
  6. Circle(A, 4) → g
  7. Point(d) → B
  8. Point(e) → C
  9. Point(f) → D
  10. Point(g) → F
  11. Circle(A, 6) → h
  12. Point(c) → E
  13. Point(h) → G
  14. PolyLine(A, B, C, D, F, E, G) → i
  15. Zip(PolyLine[Rotate[A, n°, A], Rotate[B, n°, A], Rotate[C, n°, A], Rotate[D, n°, A], Rotate[F, n°, A], Rotate[E, n°, A], Rotate[G, n°, A]], n, list1) → L_1