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Max Bill Painting - by Brândusa Ioan

Max Bill Painting - by Brândusa Ioan
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2017-12-06 19:40
PolygonTransformationGeometric Construction
In collections Paintings modeled in Geogebra
This example demonstrates how to create Max Bill style paintings through mathematical constructions, showcasing creative applications of geometric shapes and transformations. Core math concepts include equations, similarity transformation, median value, root, and unit circle. Construction highlights involve GeoGebra commands like Point, Polygon, Midpoint, Segment, and Intersect for building complex geometric figures. Suitable for high school and above, ideal for learning geometric constructions and transformation applications.

GeoGebra Commands & Parameters

  1. Point(xAxis) → A
  2. Polygon(A, B, 4) → poly1, f, g, h, i, C, D
  3. Midpoint(i) → E
  4. Midpoint(g) → F
  5. Midpoint(h) → G
  6. Midpoint(f) → H
  7. Segment(D, B) → j
  8. Segment(C, A) → k
  9. Segment(G, F) → l
  10. Segment(G, E) → m
  11. Intersect(i, m) → I
  12. Segment(E, H) → n
  13. Segment(H, F) → p
  14. Intersect(j, m) → J
  15. Intersect(j, k) → K
  16. Intersect(k, l) → L
  17. Intersect(j, p) → M
  18. Intersect(k, n) → N
  19. Polygon(J, E, N, K) → q1, j_1, e, n_1, k_1
  20. Polygon(D, J, G) → t1, g_1, d, j_2
  21. Polygon(A, N, H) → t2, h_1, a, n_2
  22. Polygon(G, L, C) → t3, c, g_2, l_1
  23. Polygon(L, K, M, F) → q2, l_2, k_2, m_1, f_1
  24. Polygon(H, M, B) → t4, b, h_2, m_2
  25. Polygon(G, J, K, L) → q3, g_3, j_3, k_3, l_3
  26. Polygon(C, F, L) → t5, l_4, c_1, f_2
  27. Polygon(D, E, J) → t6, j_4, d_1, e_1
  28. Polygon(E, A, N) → t7, n_3, e_2, a_1
  29. Polygon(K, N, H, M) → q4, k_4, n_4, h_3, m_3
  30. Polygon(F, B, M) → t8, m_4, f_3, b_1