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Rotations in Circles

Rotations in Circles
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2015-11-18 04:37
CircleGeometric Construction
This example demonstrates rotations in circles. Key mathematical concepts include rotation, angles, and geometric construction. Using GeoGebra commands like Sequence and Flatten, dynamic rotation effects are showcased. Suitable for middle school and above students learning geometric transformations.

GeoGebra Commands & Parameters

  1. Sequence(Sequence[Circle[(m, n), 0.2], m, 0, 10, 0.3], n, 0, 8, 0.3) → list1
  2. Flatten(list1) → list2
  3. Sequence(Point[Element[list2, n]], n, 1, 820) → list3
  4. Sequence(Sequence[(m, n), m, 0, 10, 0.3], n, 0, 8, 0.3) → list4
  5. Flatten(list4) → list5
  6. Sequence(Rotate[Element[list3, n], a + (π * n / b), Element[list5, n]], n, 1, 850) → list6