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Logo of Bibliotecas de La Rioja

Logo of Bibliotecas de La Rioja
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2020-01-20 01:15
PolygonVectorGeometric Construction
This example demonstrates how to use GeoGebra to draw the logo of Bibliotecas de La Rioja. Key mathematical concepts include vectors, reflection, and geometric construction. Commands such as LineBisector, Vector, OrthogonalVector, Midpoint, OrthogonalLine, Intersect, Line, Mirror, and Polygon 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. Midpoint(A_1, A) → J
  5. OrthogonalLine(J, m) → i
  6. OrthogonalLine(K, i) → l
  7. OrthogonalLine(F, l) → n
  8. Intersect(m, n) → H
  9. Line(A, B) → s
  10. OrthogonalLine(A, s) → b
  11. OrthogonalLine(M_3, b) → g_4
  12. Mirror(g_4, i) → g_1
  13. OrthogonalLine(G, l) → p
  14. Mirror(p, i) → p'
  15. Intersect(l, n) → Q
  16. Line(D, b) → f
  17. Intersect(f, p') → I_1
  18. Intersect(f, g_1) → G_1
  19. Mirror(R_1, i) → C_2
  20. Mirror(n, i) → n'
  21. Intersect(f, n') → E_1
  22. LineBisector(C_2, S_1) → d
  23. Intersect(f, i) → H_1
  24. Mirror(l, m) → l'
  25. Intersect(l', n') → B_1
  26. OrthogonalLine(M, i) → a
  27. OrthogonalLine(B, u, xOyPlane) → g
  28. Mirror(J, m) → J'
  29. OrthogonalLine(R, s) → j_4
  30. Intersect(l, g_4) → Z_3
  31. OrthogonalLine(L, i) → t
  32. Mirror(M_3, i) → U
  33. OrthogonalLine(A_1, b) → r
  34. Intersect(g, r) → C
  35. Polygon(A_1, C, B, A) → q1, a_1, c, b_1, a_2
  36. OrthogonalLine(N, i) → j
  37. Line(I, a) → h
  38. Intersect(j_4, i) → P
  39. Midpoint(P, R) → S
  40. Intersect(l', n) → W
  41. OrthogonalLine(E, n') → j'
  42. Intersect(j_4, n') → C_1
  43. Intersect(t, n') → D_1
  44. Intersect(j_4, g_1) → F_1
  45. Intersect(h, n) → K_1
  46. Intersect(j, n) → L_1
  47. Intersect(j', g_4) → M_1
  48. OrthogonalLine(Z, s) → k
  49. Intersect(j', p') → P_1
  50. Intersect(j', g_1) → Q_1
  51. Polygon(C_1, D_1, L, R) → q2, c_1, d_1, l_1, r_1
  52. CircleArc(J_1, C_2, S_1) → e
  53. Mirror(e, i) → e'
  54. Polygon(E_1, S_1, T_1, H_1) → q3, e_1, s_1, t_1, h_1
  55. Polygon(I_1, O_1, R_1, G_1) → q4, i_1, o_1, q, f_1
  56. Mirror(E_1, i) → U_1
  57. Mirror(S_1, i) → V_1
  58. Mirror(T_1, i) → W_1
  59. Mirror(H_1, i) → Z_1
  60. Polygon(U_1, V_1, W_1, Z_1) → q3', u_1, v_1, w_1, z_1
  61. Mirror(I_1, i) → A_2
  62. Mirror(O_1, i) → B_2
  63. Mirror(G_1, i) → D_2
  64. Polygon(A_2, B_2, C_2, D_2) → q4', j_1, b_2, c_2, d_2
  65. CircleArc(E_2, R_1, O_1) → k_1
  66. Mirror(k_1, i) → p_1
  67. Polygon(I, N, L_1, K_1) → q5, i_2, n_1, m_1, q_1
  68. Polygon(V, O, T, H) → q6, v_2, o_2, t_2, h_2
  69. CircleArc(I_2, N_1, F_2) → e_2
  70. CircleArc(J_2, H_2, G_2) → f_2
  71. Polygon(E, F_2, N_1, M_1) → q7, g_2, j_2, k_2, l_2
  72. Polygon(P_1, G_2, H_2, Q_1) → q8, m_2, n_2, p_2, q_2
  73. Line(M_1, Z) → r_2
  74. Line(W, r_2) → s_2
  75. Polygon(M_1, H_2, W, Z) → q9, f_3, g_3, w, z_2
  76. Segment(A_2, B_2) → h_3
  77. Segment(B_2, V_1) → i_3
  78. Segment(A_2, U_1) → j_3
  79. Segment(E_1, I_1) → k_3
  80. Segment(I_1, O_1) → l_3
  81. Segment(E, P_1) → m_3
  82. Segment(P_1, G_2) → n_3

AI Drawing Prompt Reference

Draw a library logo with multiple intersecting segments and reflected geometric shapes. Start by drawing segment AB, then find its midpoint J and draw the perpendicular bisector m. Use m and AB to construct other segments and reflected shapes, ultimately forming the logo's outline.
The prompt above was compiled from the original drawing commands and is for reference only.