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Bring Jean-Baptiste Mosaic to Life

Bring Jean-Baptiste Mosaic to Life
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2025-02-10 00:23
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This GeoGebra example demonstrates how to create dynamic mosaics using geometric transformations and animations. Key mathematical concepts include geometric transformations, vectors, and animations. Using commands like Translate, Mirror, and Sequence, complex geometric patterns can be constructed. Suitable for high school math education and students learning geometric transformations.

GeoGebra Commands & Parameters

  1. Sequence(Rotate[Polygon[(a, b), ((2 * a), 0), ((3 * a), b), ((2 * a), (2 * b)), ((2 * a), 1), (a, (11 * b))], (s * pi / 3)], s, 0, 5) → lista1
  2. Translate(lista1, t) → tras1
  3. Sequence(Rotate[Polygon[((2 * a), (2 * b)), ((3 * a), b), ((6 * a), (4 * b)), ((5 * a), (5 * b)), ((3 * a), (3 * b)), ((3 * a), (13 * b)), ((2 * a), (14 * b)), ((-a), (11 * b)), (0, (10 * b)), ((2 * a), (12 * b))], ((s * 2) * pi / 3)], s, 0, 2) → lista2
  4. Translate(lista2, t) → tras2
  5. Circle((0, 0), 5) → c
  6. Mirror(tras1, c) → inv1
  7. Mirror(tras2, c) → inv2
  8. Corner(1, 1) → Export_1
  9. Corner(1, 3) → Export_2
  10. Translate(lista3, t) → tras3
  11. Mirror(tras3, c) → inv3
  12. Translate(lista4, t) → tras4
  13. Mirror(tras4, c) → inv4
  14. Sequence({random(), random(), random()}, k, 1, númeroListas) → listaAzar
  15. Sequence(If[oscuro, {1, 1, 1}, {0, 0, 0}], k, 1, númeroListas) → listaBorde