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Pythagorean Tiling via Iterated Geometric Transformations

Pythagorean Tiling via Iterated Geometric Transformations
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2025-02-01 22:06
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This GeoGebra example demonstrates an iterative construction that produces a Pythagorean-style tiling/mosaicking effect by repeatedly applying geometric transformations. As the process evolves, the visualization highlights how repeated copies generate an increasingly structured pattern, and it connects the growth in copy counts to statistical-style views such as frequency distribution, variance, a

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