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NEYMAR Logo

NEYMAR Logo
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2020-06-04 00:50
PolygonVectorGeometric Construction
This example demonstrates how to construct the NEYMAR logo using vectors and geometric transformations. Key mathematical concepts include vectors, geometric transformations, and polygons. Using commands like Vector, OrthogonalVector, and Mirror in GeoGebra, various parts of the logo can be constructed. Suitable for high school mathematics education and learning geometric construction.

GeoGebra Commands & Parameters

  1. Vector(A, B) → u
  2. OrthogonalVector(u) → v
  3. LineBisector(A_1, A) → l
  4. Line(A, B) → s
  5. OrthogonalLine(D, s) → i
  6. OrthogonalLine(A, s) → b
  7. OrthogonalLine(F, b) → f
  8. Mirror(f, l) → f'
  9. Intersect(i, f') → E
  10. OrthogonalLine(G, b) → t
  11. OrthogonalLine(H, i) → k
  12. OrthogonalLine(U, k) → q
  13. Intersect(i, l) → P
  14. OrthogonalLine(I, b) → n
  15. OrthogonalLine(A_1, b) → r
  16. OrthogonalLine(K, l) → j
  17. Intersect(j, n) → B_1
  18. OrthogonalLine(V, r) → a
  19. Intersect(a, n) → E_1
  20. OrthogonalLine(Z, i) → h
  21. OrthogonalLine(N, h) → p
  22. Intersect(h, p) → H_1
  23. Intersect(p, n) → C_1
  24. Intersect(t, j) → I_1
  25. Intersect(q, n) → D_1
  26. Intersect(p, t) → F_1
  27. OrthogonalLine(S, l) → m
  28. Intersect(m, f) → M
  29. Intersect(m, l) → L
  30. OrthogonalLine(B, u, xOyPlane) → g
  31. Intersect(g, r) → C
  32. Mirror(f, l) → f'_1
  33. Mirror(F, l) → F'
  34. Polygon(A_1, C, B, A) → c4, a_1, c_3, b_2, a_2
  35. Mirror(t, l) → t'
  36. OrthogonalLine(J, l) → c
  37. OrthogonalLine(Q, l) → d
  38. OrthogonalLine(R, l) → e
  39. Intersect(q, t) → G_1
  40. Polygon(G, K, C_1, B_1, I_1, Z, N, F_1, U, V, E_1, D_1, G_1, H_1) → polígono1, g_1, q_1, r_1, s_1, t_1, b_1, h_1, i_1, j_1, k_1, l_1, m_1, n_1, p_1
  41. OrthogonalLine(T, l) → f_1
  42. Intersect(m, t') → J_1
  43. Mirror(h, l) → h'
  44. Intersect(q, h') → K_1
  45. Intersect(q, t') → L_1
  46. Intersect(f, c) → M_1
  47. Polygon(M_1, J, S, J_1, K_1, L_1, M) → polígono2, c_1, j_2, s_2, d_1, f_2, g_2, m_2
  48. Intersect(d, n) → N_1
  49. Intersect(n, e) → O_1
  50. Intersect(e, h) → P_1
  51. Intersect(f_1, t) → Q_1
  52. Intersect(h, f_1) → R_1
  53. OrthogonalLine(W, l) → i'
  54. Intersect(h, i') → S_1
  55. Intersect(e, t) → T_1
  56. Polygon(N_1, O_1, Q, P_1, Q_1, R_1, S_1, W, T, T_1, R) → polígono3, h_2, r_2, q_2, o_1, i_2, k_2, l_2, n_2, w, t_2, p_2