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Rotations in the Park

Rotations in the Park
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2018-03-04 06:54
TrigonometryCoordinate GeometryTransformationGeometric ConstructionSlider Animation
This example demonstrates 2D rotational transformations and their visual effects. Core math concepts include rotation, trigonometry, coordinate geometry, and geometric construction. Construction highlights: used commands Segment, Textfield, RandomElement, Sequence; objects include xmax, ymax, ymin, M, xmin, N, r, A, l, f, InputBox1, L_2, g, button1, button2, button3, InputBox2, a, L_1. Suitable for high school and above learning transformations, parametric equations, and geometric constructions.

GeoGebra Commands & Parameters

  1. Segment(A - (l, 0), A + (l, 0)) → f
  2. Textfield(r) → InputBox1
  3. RandomElement(L_2) → g
  4. Textfield(l) → InputBox2
  5. Sequence(Sequence[Translate[Rotate[f, r(i, j), A], (i, j) + ((0.5 * Mod[j, 2]), 0)], i, 0, N], j, 0, M) → L_1