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Bird-Shaped Nazarí Pattern

Bird-Shaped Nazarí Pattern
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2025-01-28 00:40
In collections La fábrica de teselados
This example demonstrates the dynamic generation of a bird-shaped Nazarí pattern through the combination of circular arcs and mirror transformations to form a unique geometric design. The core mathematical concepts involved include trigonometry, distributions, fractions, circles, plane figures, and geometric transformations. The construction utilizes GeoGebra commands such as CircleArc (circular a

GeoGebra Commands & Parameters

  1. CircleArc((-0.25, (-3 * k)), (0, (-2 * k)), (-0.5, (-2 * k))) → arc1
  2. Mirror(arc1, (0, (-2 * k))) → arc2
  3. Join({Sequence[Point[arc2, s], s, 1, 0, -0.05], Sequence[Point[arc1, s], s, 0, 1, 0.05]}) → puntos
  4. Translate(lista1, t) → tras1
  5. Translate(lista2, t) → tras2
  6. Circle((0, 0), 3) → c
  7. Mirror(tras1, c) → inv1
  8. Mirror(tras2, c) → inv2
  9. Corner(1, 1) → Export_1
  10. Corner(1, 3) → Export_2
  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