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Mondrian Geometry: Mirror and Sequence Animation of Circles

Mondrian Geometry: Mirror and Sequence Animation of Circles
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2025-02-01 01:12
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This example demonstrates a Mondrian-inspired composition where circular elements are repeatedly generated and assembled through geometric transformation rules, producing a layered, symmetric visual pattern. The key mathematical ideas include circle construction, plane geometric transformations (notably reflection/mirroring and translation-like motion), and sequence/parameter-driven animation cont

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