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Spanish Technological Centers Logo

Spanish Technological Centers Logo
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2020-05-08 19:47
PolygonVectorGeometric Construction
This example demonstrates how to use GeoGebra to draw the logo of Spanish Technological Centers. Key mathematical concepts include polygons and vectors. Using commands like Line, OrthogonalLine, Vector, LineBisector, etc., the various parts of the logo are constructed. Suitable for high school mathematics education and learning.

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. LineBisector(A_1, A) → h
  7. Mirror(f, h) → f'
  8. OrthogonalLine(D, s) → i
  9. Intersect(i, f) → I
  10. OrthogonalLine(B, u, xOyPlane) → g
  11. LineBisector(A, B) → m
  12. Intersect(m, f) → E
  13. Mirror(i, m) → i'
  14. Intersect(i, f') → J
  15. OrthogonalLine(A_1, b) → r
  16. Intersect(g, r) → C
  17. Mirror(J, m) → J'
  18. Mirror(J, h) → J'_1
  19. Mirror(J', h) → J''
  20. Polygon(A, B, C, A_1) → q1, a_1, b_1, c, j
  21. LineBisector(A_1, A) → n
  22. Intersect(m, f') → K
  23. Intersect(m, n) → M
  24. Segment(K, M) → k
  25. Circle(M, k) → d
  26. Circle(K, k) → e
  27. Intersect(e, d) → N, O, ,
  28. Circle(E, k) → p
  29. Intersect(p, d) → P, Q, ,
  30. Intersect(e, p) → R, , ,
  31. Polygon(O, K, N, Q, E, P) → poly1, o, k_1, n_1, q, e_3, p_1
  32. Midpoint(K, N) → S
  33. Mirror(S, m) → S'
  34. Mirror(S, n) → S'_1
  35. Mirror(S', n) → S''
  36. Intersect(n, p_1) → T
  37. Intersect(n, n_1) → W
  38. Segment(T, S) → l
  39. Segment(S'', W) → t
  40. Segment(T, S'_1) → f_1
  41. Segment(W, S') → g_1
  42. Segment(O, Q) → h_1
  43. Segment(P, N) → i_1
  44. Intersect(l, g_1) → B_1
  45. Intersect(l, h_1) → C_1
  46. Intersect(t, h_1) → D_1
  47. Intersect(t, f_1) → V
  48. Intersect(f_1, i_1) → F_1
  49. Intersect(i_1, g_1) → U
  50. OrthogonalLine(S', f') → j_1
  51. OrthogonalLine(S, f') → l_1
  52. Polygon(S', O, C_1) → t1, c_1, s', o_1
  53. Polygon(T, C_1, F_1) → t2, m_1, t_1, q_1
  54. Polygon(S, B_1, U) → t3, u_1, s_1, r_1
  55. Polygon(C_1, B_1, S') → t4, d_1, f_2, g_2
  56. Polygon(P, F_1, T) → t5, t_2, p_2, h_2
  57. Polygon(V, D_1, S'_1) → t6, s'_1, v_1, i_2
  58. Polygon(S, U, N) → t7, n_2, s_2, u_2
  59. Polygon(Q, W, D_1) → t8, j_2, q_2, w
  60. Polygon(E, S'_1, V) → t9, v_2, e_4, k_2
  61. Polygon(V, S'', F_1) → t10, l_2, v_3, s''
  62. Polygon(P, S'', F_1) → t11, m_2, p_3, r_2
  63. Polygon(S'_1, Q, D_1) → t12, a_2, b_2, q_3
  64. Polygon(S'', E, V) → t13, v_4, c_2, e_5
  65. Polygon(N, W, U) → t14, u_3, n_3, w_1
  66. Polygon(O, T, C_1) → t15, d_2, o_2, t_3
  67. Polygon(W, U, D_1) → t16, f_3, w_2, u_4
  68. Polygon(V, R, F_1) → t17, g_3, v_5, r_3
  69. Polygon(S', K, B_1) → t18, h_3, i_3, k_3
  70. Polygon(C_1, B_1, R) → t19, r_4, j_3, l_3
  71. Polygon(R, D_1, U) → t20, u_5, r_5, m_3
  72. Polygon(F_1, R, C_1) → t21, s_3, a_3, r_6
  73. Polygon(R, B_1, U) → t22, u_6, r_7, b_3
  74. Polygon(B_1, S, K) → t23, k_4, c_3, s_4