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Tessellation 6³ via Iterated Symmetry Transforms

Tessellation 6³ via Iterated Symmetry Transforms
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2025-01-27 23:48
In collections La fábrica de teselados
This GeoGebra example demonstrates how a periodic tessellation of the “6³” style can be generated by repeatedly applying plane symmetry transformations. The construction highlights the emergence of continuity and global order from local geometric rules. Key mathematics includes tessellation and periodicity, geometric transformations (translation and reflection), and the role of circles/angles as c

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