MathPlotAI Logo MathPlotAI

Construction and Transformation of Irregular Convex Hexagons

Construction and Transformation of Irregular Convex Hexagons
Loading the math board and drawing, please wait…
2025-02-10 03:36
In collections La fábrica de teselados
This example demonstrates how to construct irregular convex hexagons in GeoGebra and explore their properties through geometric transformations including vectors, translation, rotation, and mirroring. Core mathematical concepts involve convex polygons, similarity transformations, rotation, and translation. Construction points: Use Circle command to draw reference circles, generate hexagon vertex s

GeoGebra Commands & Parameters

  1. Vector(Rotate[B, (2 * pi / 3), A], Rotate[B, (2 * pi / 3), C]) → u
  2. Translate(lista1, t) → tras1
  3. Rotate(lista1, (2 * pi / 3), C) → 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. Rotate(lista2, (2 * pi / 3), C) → lista3
  11. Translate(lista3, t) → tras3
  12. Mirror(tras3, c) → inv3
  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