Geometric Construction of the RENAULT Logo

Geometric Construction of the RENAULT Logo
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2019-12-16 02:55
This example demonstrates how to construct the RENAULT logo using GeoGebra. Key mathematical concepts include vectors, polygons, and geometric transformations. Commands such as Vector, OrthogonalVector, Midpoint, LineBisector are used to create parallelograms and rhombuses in the logo. Suitable for high school geometry courses.

GeoGebra Commands & Parameters

  1. Vector(A, B) → u
  2. OrthogonalVector(u) → v
  3. Midpoint(C, A) → J
  4. LineBisector(A, C) → d
  5. Mirror(K, d) → K'_1
  6. OrthogonalLine(M, d) → i
  7. Intersect(d, i) → O
  8. LineBisector(A, B) → m
  9. Line(A, B) → s
  10. OrthogonalLine(A, s) → b
  11. OrthogonalLine(I, b) → h
  12. Mirror(h, d) → h'
  13. Intersect(m, h') → N
  14. Mirror(F, m) → F'
  15. Polygon(F', O, K, F) → q1, f', o_1, k, f_1
  16. Intersect(m, k) → P
  17. Vector(K'_1, P) → a
  18. Intersect(m, d) → E
  19. OrthogonalLine(C, v, xOyPlane) → f
  20. Intersect(f, m) → U
  21. Mirror(i, m) → i'
  22. Intersect(h, m) → S
  23. Mirror(Q, m) → Q'
  24. OrthogonalLine(B, u, xOyPlane) → g
  25. Intersect(g, f) → D
  26. Mirror(M, m) → M'
  27. Midpoint(E, M') → L
  28. Intersect(g, h') → A_1
  29. Polygon(A, B, D, C) → q11, a_3, b_2, d_2, c_3
  30. Mirror(K, E) → K'
  31. Mirror(F', E) → F''
  32. Mirror(K, m) → K'_2
  33. Polygon(F, M', K', P) → q2, f_2, m', k', p
  34. Mirror(F', E) → F''_1
  35. Mirror(O, E) → O'
  36. Mirror(K, E) → K'_3
  37. Mirror(F, E) → F'_2
  38. Polygon(F''_1, O', K'_3, F'_2) → q1', f''_1, o', k'_3, f'_2
  39. Mirror(F, E) → F'_3
  40. Mirror(M', E) → M''
  41. Mirror(K', E) → K''
  42. Mirror(P, E) → P'
  43. Polygon(F'_3, M'', K'', P') → q2', f'_3, m'', k'', p'
  44. Segment(P', K'_2) → j
  45. Segment(P, K'_1) → l
  46. LaTeX(q11, true, true) → text1
  47. Mirror(R, m) → R'
  48. Mirror(T, m) → T'
  49. Mirror(T, d) → T'_1
  50. Mirror(T', d) → T''
  51. Polygon(P, W, Z, K'_2) → c1, p_1, w, z_1, k'_2
  52. Polygon(T', T, R', T'_1, F'_1, R) → polígono1, t', t, r', t'_1, f'_1, r
  53. Vector(O', F) → c
  54. Polygon(P, H, F) → t1, f_3, p_2, h_1
  55. Polygon(P', F'_3, F'') → t2, f'', n, q
  56. Polygon(M', V, P', K'_2) → q3, e, v_1, g_1, i_1