基于向量与镜面对称的标志几何构造（Logo样式）

GeoGebra 命令及参数

1. LineBisector(A, B) → m
2. Vector(A, B) → u
3. OrthogonalVector(u) → v
4. LineBisector(A_1, A) → l
5. Line(A, B) → s
6. OrthogonalLine(D, s) → i
7. Mirror(i, m) → i'
8. OrthogonalLine(A, s) → b
9. OrthogonalLine(A_1, b) → r
10. OrthogonalLine(F, b) → f
11. Mirror(f, l) → f'
12. Intersect(i', f') → P
13. Intersect(i, f') → E
14. Mirror(I, m) → I'
15. OrthogonalLine(M, r) → n
16. Line(L, n) → p
17. Line(I', p) → q
18. Line(U, q) → a
19. OrthogonalLine(N, b) → j
20. Intersect(a, j) → C_1
21. LineBisector(C_1, Q) → g_2
22. Intersect(g_2, a) → S_1
23. Intersect(q, g_2) → T_1
24. Vector(S_1, T_1) → u_1
25. Intersect(m, l) → K
26. Intersect(i, l) → J
27. Intersect(m, f') → S
28. Mirror(f, l) → f'_1
29. OrthogonalLine(G, f'_1) → h
30. OrthogonalLine(B, u, xOyPlane) → g
31. Intersect(g, r) → C
32. Mirror(F, l) → F'
33. Polygon(A_1, C, B, A) → c4, a_1, c_3, b_2, a_2
34. OrthogonalLine(H, f'_1) → k
35. Intersect(i', f) → J_1
36. Intersect(f, m) → D_1
37. Intersect(h, j) → O
38. Mirror(R, l) → R'
39. Mirror(T, l) → T'
40. Intersect(n, j) → V
41. Intersect(p, j) → W
42. Intersect(q, j) → Z
43. Line(I, k) → t
44. Intersect(t, j) → B_1
45. Line(T, l) → c
46. Line(R', c) → e
47. Line(T', c) → f_1
48. Line(R, c) → h_1
49. Intersect(h, l) → E_1
50. Intersect(k, l) → H_1
51. Intersect(k, j) → I_1
52. Polygon(E, I, B_1, I_1, H_1, E_1, O, N) → poly1, e_3, i_1, b_1, d, g_1, j_1, o, n_1
53. Segment(B_1, D_1) → k_1
54. Intersect(f, t) → K_1
55. CircumcircleArc(I, K, K_1) → c_1
56. Mirror(B_1, l) → L_1
57. CircumcircleArc(B_1, M_1, L_1) → d_1
58. Mirror(E, l) → E'
59. Mirror(I, l) → I'_1
60. Mirror(B_1, l) → N_1
61. Mirror(I_1, l) → O_1
62. Mirror(H_1, l) → P_1
63. Mirror(E_1, l) → Q_1
64. Mirror(O, l) → O'
65. Mirror(N, l) → N'
66. Polygon(E', I'_1, N_1, O_1, P_1, Q_1, O', N') → poly1', e', i'_1, l_1, o_1, p_1, q_1, o', n'
67. Line(D_1, Z) → m_1
68. Line(W, m_1) → r_1
69. Intersect(r_1, k_1) → R_1
70. Polygon(D_1, R_1, W, V, M, P, Q, C_1, Z) → poly2, s_1, t_1, w, v_1, m_2, p_2, q_2, f_2, z_1
71. CircleArc(U_1, Q, C_1) → c_2
72. Intersect(m_1, e) → W_1
73. Intersect(m_1, h_1) → Z_1
74. OrthogonalLine(U_1, j) → h_2
75. Intersect(h_2, c) → F_1
76. Intersect(f_1, h_2) → G_1
77. OrthogonalLine(V_1, f) → i_2
78. Intersect(i_2, h_1) → A_2
79. Intersect(i_2, e) → B_2
80. Polygon(W_1, B_2, G_1, F_1, A_2, Z_1) → poly3, w_1, j_2, k_2, l_2, n_2, r_2
81. LineBisector(A_2, F_1) → s_2
82. Intersect(s_2, q) → C_2
83. CircleArc(C_2, A_2, F_1) → d_2
84. Segment(B_1, N_1) → f_3
85. Segment(C_1, Q) → g_3
86. Segment(F_1, A_2) → h_3
87. Segment(B_2, G_1) → i_3
88. Mirror(d_2, l) → t_2
89. Intersect(i_2, l) → D_2
90. Intersect(a, j) → E_2