小米Logo的几何构造：向量、多边形与圆弧的数学艺术

GeoGebra 命令及参数

1. Vector(A, B) → u
2. OrthogonalVector(u) → v
3. Polygon(A, B, 4) → poly1, f, g, h, i, C, D
4. Midpoint(D, A) → E
5. LineBisector(G, E) → a
6. Midpoint(E, A) → I
7. LineBisector(V, W) → r
8. Intersect(r, a) → N_1
9. Midpoint(C, B) → F
10. Midpoint(F, B) → J
11. Line(I, J) → k
12. Intersect(k, r) → E_1
13. LineBisector(B_1, A_1) → q
14. Intersect(a, q) → M_1
15. Intersect(q, k) → J_1
16. Vector(J_1, M_1) → j
17. Line(F_1, a) → b
18. Line(E, F) → l
19. Polygon(K, L, S, K') → q1, k_1, l_1, s, k'
20. Polygon(M, N, U, T) → q2, m, n, u_1, t
21. Polygon(K', S, V, B_1) → q3, p, s_1, v_1, b_1
22. CircleArc(D_1, A_1, B_1) → c
23. Intersect(r, l) → G_1
24. Vector(E_1, N_1) → w
25. CircleArc(H_1, W, V) → d
26. Polygon(W, A_1, P, O) → q4, w_1, a_1, p_1, o_1
27. Polygon(A_1, W, V, B_1) → q5, e, w_2, v_2, f_1
28. Polygon(R, Q, Z, C_1) → q6, r_1, q_1, z_1, c_1
29. Segment(A_1, P) → g_1
30. Segment(I_1, N) → h_1
31. Intersect(q, r) → K_1
32. Intersect(poly1, q1) → L_1
33. Segment(S, V) → i_1
34. Segment(M, T) → j_1
35. Segment(S, L) → m_1
36. Segment(N, U) → n_1
37. Segment(O, W) → t_1
38. Segment(V, W) → d_1
39. LineBisector(D, G) → e_1
40. LineBisector(E, I) → f_2
41. Intersect(f_2, g) → O_1
42. OrthogonalLine(P_1, e_1) → g_2
43. LineBisector(O_1, F) → h_2
44. Line(G, H) → i_2
45. Intersect(g, h_2) → V_1
46. Midpoint(C, H) → T_1
47. Intersect(g_2, h_2) → C_2
48. Intersect(g_2, e_1) → D_2
49. LineBisector(W_1, P_1) → j_2
50. Polygon(Z_1, D_2, C_2, B_2, A_2, U_1, P_1, W_1) → poly2, k_2, d_2, l_2, b_2, a_2, m_2, n_2, p_2
51. Intersect(j_2, e_1) → E_2
52. Intersect(j_2, i_2) → F_2
53. Vector(F_2, E_2) → u_2
54. CircleArc(G_2, P_1, W_1) → c_2
55. Segment(Z_1, W_1) → q_2
56. OrthogonalLine(I_2, i_2) → r_2
57. Polygon(J_2, K_2, I_2, H_2) → q7, s_2, t_2, e_2, f_3
58. Mirror(J_2, g_2) → L_2
59. Mirror(K_2, g_2) → M_2
60. Mirror(I_2, g_2) → N_2
61. Mirror(H_2, g_2) → O_2
62. Polygon(L_2, M_2, N_2, O_2) → q7', g_3, h_3, i_3, o_2
63. OrthogonalLine(R_1, e_1) → j_3
64. Mirror(P_2, Q_1) → Q_2
65. OrthogonalLine(Q_2, f_2) → k_3
66. Polygon(R_2, S_2, Q_2, P_2) → q8, l_3, m_3, n_3, p_3
67. OrthogonalLine(P_2, k) → q_3
68. Intersect(q_3, a) → T_2
69. OrthogonalLine(S_1, f_2) → r_3
70. Intersect(j_3, a) → V_2
71. Polygon(T_2, U_2, W_2, V_2) → q9, s_3, t_3, a_3, b_3
72. Intersect(r_3, a) → Z_2
73. Polygon(Z_2, V_2, R_1, S_1) → q10, z_2, c_3, d_3, e_3
74. Intersect(j_3, e_1) → A_3
75. Intersect(r_3, e_1) → B_3
76. Polygon(B_3, A_3, W_2, Z_2) → q11, f_4, g_4, h_4, i_4
77. OrthogonalLine(Q_1, k) → j_4
78. Intersect(j_4, e_1) → E_3
79. Polygon(C_3, D_3, E_3, F_3) → q12, k_4, l_4, m_4, n_4
80. Mirror(C_3, j_3) → G_3
81. Mirror(D_3, j_3) → H_3
82. Mirror(E_3, j_3) → I_3
83. Mirror(F_3, j_3) → J_3
84. Polygon(G_3, H_3, I_3, J_3) → q12', p_4, q_4, r_4, s_4
85. Mirror(B_3, j_3) → K_3
86. Mirror(A_3, j_3) → L_3
87. Mirror(W_2, j_3) → M_3
88. Mirror(Z_2, j_3) → N_3
89. Polygon(K_3, L_3, M_3, N_3) → q11', t_4, a_4, b_4, c_4
90. Mirror(Z_2, j_3) → O_3
91. Mirror(V_2, j_3) → P_3
92. Mirror(R_1, j_3) → Q_3
93. Mirror(S_1, j_3) → R_3
94. Polygon(O_3, P_3, Q_3, R_3) → q10', o_3, d_4, e_4, f_5
95. Mirror(T_2, j_3) → S_3
96. Mirror(U_2, j_3) → T_3
97. Mirror(W_2, j_3) → U_3
98. Mirror(V_2, j_3) → V_3
99. Polygon(S_3, T_3, U_3, V_3) → q9', g_5, h_5, u_3, v_3
100. Mirror(R_2, j_3) → W_3
101. Mirror(S_2, j_3) → Z_3
102. Mirror(Q_2, j_3) → A_4
103. Mirror(P_2, j_3) → B_4
104. Polygon(W_3, Z_3, A_4, B_4) → q8', w_3, z_3, i_5, j_5