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MacMahon Geometry

MacMahon Geometry
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2025-02-01 19:20
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This example demonstrates the generation of MacMahon's geometric figures. Key mathematical concepts include geometric transformations, vectors, and sequences. Using GeoGebra commands such as Translate, Mirror, and Sequence, the transformation process is dynamically illustrated. Suitable for high school and above students to learn about geometric transformations and sequences.

GeoGebra Commands & Parameters

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