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Islamic Art Random Tiling Group P4G

Islamic Art Random Tiling Group P4G
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2019-07-18 05:31
PolygonProbability & Statistics
This example demonstrates how to make elements of a list (e.g., squares) appear randomly. It involves core math concepts like random experiments, translation, and polygon construction. Key GeoGebra commands used include Point, Intersect, Polygon, Sequence, Translate, and Flatten. Suitable for high school and above, exploring the intersection of stochastic processes and geometric transformations.

GeoGebra Commands & Parameters

  1. Point(xAxis) → A
  2. Intersect(xAxis, yAxis) → B
  3. Polygon(A, B, 4) → poly1, f, g, h, i, C, D
  4. Sequence(Translate[poly1, (0, k)], k, -3, 3) → l1
  5. Translate(Rotate[l1, 90°], (0, 5)) → l2
  6. Translate(Rotate[l1, 90°], (0, -3)) → l3
  7. Polygon(E, F, 4) → poly2, j, k, l, m, G, H
  8. Polygon(I, J, 4) → poly3, n, p, q, r, K, L
  9. Polygon(M, N, 4) → poly4, s, t, a, b, O, P
  10. Polygon(Q, R, 4) → poly5, c, d, e, f_1, S, T
  11. Flatten(l4) → l5
  12. Sequence(Translate[l5, (0, (10 * k))], k, (-nn), nn) → l6
  13. Sequence(Translate[l6, ((5 * k), (5 * k))], k, (-nn), nn) → l7
  14. Flatten(l7) → l8
  15. Sequence(Element[l8, Random[1, Length[l8]]], k, 1, 100 - n_1 / n_1) → l9