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Cuboid Developments: Geometric Transformations and Function Exploration

Cuboid Developments: Geometric Transformations and Function Exploration
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2025-03-22 20:05
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This example demonstrates the geometric transformations and dynamic generation of function images of a cuboid. The key mathematical concepts involved include geometric transformations, function graphs, and coordinate geometry. Construction points include using GeoGebra commands such as Translate, Rotate, Circle, etc., to construct the cuboid and animate its changes. Suitable for middle or high sch

GeoGebra Commands & Parameters

  1. Translate(lista1, t) → tras1
  2. Rotate(p1, pi, (0, 2.5)) → lista2
  3. Translate(lista2, t) → tras2
  4. Circle((0, 0), 7) → c
  5. Mirror(tras1, c) → inv1
  6. Mirror(tras2, c) → inv2
  7. Corner(1, 1) → Export_1
  8. Corner(1, 3) → Export_2
  9. Translate(lista1, (-2, -2)) → lista3
  10. Translate(lista3, t) → tras3
  11. Mirror(tras3, c) → inv3
  12. Translate(lista2, (-2, -2)) → lista4
  13. Translate(lista4, t) → tras4
  14. Mirror(tras4, c) → inv4
  15. Sequence({random(), random(), random()}, k, 1, númeroListas) → listaAzar
  16. Sequence(If[oscuro, {1, 1, 1}, {0, 0, 0}], k, 1, númeroListas) → listaBorde