AXA Logo

AXA Logo
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2020-01-28 01:21
This GeoGebra example demonstrates how to create the AXA logo using vectors and geometric construction. Key mathematical concepts include vectors, angles, and geometric construction. Commands such as LineBisector, Vector, Intersect are used to construct the various parts of the logo. Suitable for high school mathematics education and learning.

GeoGebra Commands & Parameters

  1. LineBisector(A, B) → m
  2. Vector(A, B) → u
  3. OrthogonalVector(u) → v
  4. LineBisector(J, D) → h
  5. Intersect(m, h) → O
  6. OrthogonalLine(B, u, xOyPlane) → g
  7. Line(A, B) → s
  8. OrthogonalLine(A, s) → b
  9. OrthogonalLine(D, b) → f
  10. Line(T, f) → t
  11. OrthogonalLine(A_1, b) → r
  12. Intersect(g, r) → C
  13. Polygon(C, I, L, H) → q2, c_1, i_1, l_1, h_1
  14. Line(M, h_1) → j
  15. Intersect(j, t) → N
  16. Line(E_1, j) → a
  17. OrthogonalLine(J, m) → i
  18. OrthogonalLine(K, i) → l
  19. OrthogonalLine(F, l) → n
  20. Intersect(l, n) → Q
  21. Polygon(A_1, C, B, A) → q1, a_1, c, b_1, a_2
  22. Intersect(j, n) → P
  23. Line(R, j) → k
  24. Line(E, k) → p
  25. Line(G, k) → q
  26. Intersect(j, a) → W
  27. Intersect(a, n) → Z
  28. Line(F_1, a) → d
  29. Intersect(d, n) → B_1
  30. Intersect(p, t) → C_1
  31. Intersect(k, t) → S
  32. Line(D_1, B_1) → e
  33. Line(C_1, e) → f_1
  34. Intersect(n, m) → U
  35. Line(U, e) → g_1
  36. Line(V, e) → j_1
  37. Line(E_1, j_1) → k_1
  38. Line(F_1, j_1) → m_1
  39. OrthogonalLine(G_1, b) → n_1
  40. OrthogonalLine(H_1, b) → p_1
  41. Intersect(q, p_1) → I_1
  42. Intersect(q, n_1) → J_1
  43. Intersect(p_1, f_1) → K_1
  44. Intersect(f_1, n_1) → L_1
  45. Intersect(d, p_1) → M_1
  46. Intersect(d, n_1) → N_1
  47. Intersect(k_1, p_1) → O_1
  48. Intersect(k_1, n_1) → P_1
  49. Intersect(g_1, f) → Q_1
  50. Intersect(j_1, f) → R_1
  51. OrthogonalLine(C_1, t, xOyPlane) → q_1
  52. OrthogonalLine(D_1, h, xOyPlane) → r_1
  53. OrthogonalLine(S, n_1, xOyPlane) → s_1
  54. OrthogonalLine(N, n_1, xOyPlane) → t_1
  55. OrthogonalLine(F_1, t, xOyPlane) → d_1
  56. OrthogonalLine(E_1, t, xOyPlane) → e_1
  57. Intersect(q_1, f) → S_1
  58. Intersect(r_1, f) → T_1
  59. Intersect(s_1, f) → U_1
  60. Intersect(t_1, f) → V_1
  61. Intersect(e_1, f) → W_1
  62. Intersect(d_1, f) → Z_1
  63. Polygon(S_1, T_1, D_1, G, F, E, C_1) → poly1, f_2, g_2, h_2, g_3, f_3, e_2, i_2
  64. Polygon(J_1, L_1, K_1, I_1) → q3, j_2, k_2, l_2, m_2
  65. Polygon(C_1, Z, B_1, D_1) → q4, n_2, z_1, p_2, q_2
  66. Polygon(Q_1, R_1, V, U) → q5, r_2, s_2, v_1, u_1
  67. Polygon(U_1, V_1, N, P, R, S) → poly2, t_2, b_2, n_3, p_3, r_3, s_3
  68. Intersect(m_1, n) → A_2
  69. Polygon(W_1, Z_1, A_2, B_2, E_1) → poly3, w_1, c_2, d_2, h_3, i_3
  70. Polygon(F_1, B_1, Z, E_1) → q6, j_3, k_3, z_2, l_3
  71. Polygon(M_1, O_1, P_1, N_1) → q7, m_3, o_1, q_3, t_3

AI Drawing Prompt Reference

Construct a logo using vectors and geometric principles by drawing angle bisectors and creating orthogonal vectors, then use these elements to form intersections and parallel lines, ultimately creating a complex shape composed of multiple polygons to demonstrate vector and geometric construction concepts.
The prompt above was compiled from the original drawing commands and is for reference only.