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Teselación 3.4.6.4: 3D Geometric Transformations and Locus Construction

Teselación 3.4.6.4: 3D Geometric Transformations and Locus Construction
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2025-01-28 00:18
In collections La fábrica de teselados
This example demonstrates the creation of complex geometric figures through 3D transformations such as translation, reflection, and rotation. Key mathematical concepts include geometric transformations, coordinate geometry, and locus. Construction involves using GeoGebra commands like Translate, Circle, Mirror, Sequence and objects such as empieza, animación, ulamX, etc. Suitable for high school s

GeoGebra Commands & Parameters

  1. Translate(lista1, t) → tras1
  2. Translate(lista2, t) → tras2
  3. Circle((0, 0), 5) → 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