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Logo Mesut Özil

Logo Mesut Özil
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2020-06-30 23:46
PolygonVectorGeometric Construction
This example demonstrates how to use GeoGebra to draw Mesut Özil's logo. Key mathematical concepts include vectors and geometric construction. Commands such as Line, OrthogonalLine, Vector, Intersect are used to construct the various parts of the logo. Suitable for high school mathematics education, particularly in coordinate geometry and geometric construction.

GeoGebra Commands & Parameters

  1. Line(A, B) → s
  2. OrthogonalLine(A, s) → b
  3. Vector(A, B) → u
  4. OrthogonalVector(u) → v
  5. OrthogonalLine(F, b) → f
  6. OrthogonalLine(D, s) → i
  7. Intersect(i, f) → Z
  8. LineBisector(A, B) → m
  9. LineBisector(A_1, A) → l
  10. Intersect(m, l) → I
  11. Mirror(f, l) → f'
  12. Intersect(i, f') → E
  13. OrthogonalLine(A_1, b) → r
  14. OrthogonalLine(K, l) → j
  15. OrthogonalLine(B, u, xOyPlane) → g
  16. Intersect(g, r) → C
  17. Mirror(f, l) → f'_1
  18. Mirror(F, l) → F'
  19. Polygon(A_1, C, B, A) → c4, a_1, c_3, b_2, a_2
  20. Intersect(m, f') → J
  21. LineBisector(A, B) → n
  22. Mirror(i, n) → i'
  23. Intersect(n, f) → O
  24. Mirror(E, n) → E'
  25. Intersect(i', f) → N
  26. Intersect(n, f') → D_1
  27. OrthogonalLine(U, b) → h
  28. OrthogonalLine(L, b) → k
  29. OrthogonalLine(T, i) → p
  30. Mirror(U, n) → U'
  31. Intersect(n, h) → G
  32. Intersect(j, k) → H
  33. Mirror(H, n) → H'
  34. CircumcircleArc(H', G, H) → d
  35. Intersect(n, p) → M
  36. Intersect(n, k) → P
  37. Circle(M, P) → e
  38. Mirror(U', l) → U''
  39. Mirror(O, l) → O'
  40. Mirror(U, l) → U'_1
  41. Mirror(H', l) → H''
  42. Mirror(G, l) → G'
  43. Mirror(H, l) → H'_1
  44. CircumcircleArc(H'', G', H'_1) → d'
  45. Mirror(e, l) → e'
  46. Mirror(L, n) → L'
  47. Polygon(U, L, L', U') → c1, u_1, l_1, l', u'
  48. Mirror(L', l) → L''
  49. Mirror(L, k) → L'_1
  50. Mirror(L, l) → L'_2
  51. Polygon(L'_2, H'_1, H, L) → c3, q, h'_1, h_1, l_2
  52. Polygon(H'', L'', L', H') → c5, h'', t, a, h'
  53. Segment(H', H'') → f_1
  54. Segment(H'', H'_1) → g_1
  55. Segment(H'_1, H) → i_1
  56. Segment(H, H') → j_1
  57. CircumcircleArc(L', O, L) → c
  58. CircumcircleArc(L'', O', L'_2) → c'

AI Drawing Prompt Reference

Draw a soccer logo using intersecting lines and vectors, constructing polygons through intersection and mirroring to form the logo's shape, showcasing vector and geometric construction concepts.
The prompt above was compiled from the original drawing commands and is for reference only.