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Tesselación 4.8.8 via Geometric Transformations

Tesselación 4.8.8 via Geometric Transformations
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2025-01-28 00:33
In collections La fábrica de teselados
This example demonstrates how a 4.8.8 plane tessellation (tiling) can be generated by repeatedly applying geometric transformations. Starting from a base configuration, the construction uses translations and mirror-based copies to extend the pattern seamlessly across the plane, illustrating the emergence of a consistent vertex/angle structure. Key mathematical ideas include plane tessellations (4.

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