曲线缝合三叶结：几何作图与轨迹分析

GeoGebra 命令及参数

1. Polygon(A, B, 3) → poly1, f, g, h, C
2. Distance(A, B) → d
3. Segment(A, C) → i
4. Circle(A, t) → c
5. Circle(A, (t * 2)) → e
6. Circle(A, (t * 3)) → k
7. Circle(A, (t * 4)) → p
8. Circle(A, (t * 5)) → q
9. Circle(A, (t * 6)) → r
10. Circle(A, (t * 7)) → s
11. Circle(A, (t * 8)) → c_1
12. Circle(A, (t * 9)) → d_1
13. Circle(A, (t * 10)) → e_1
14. Circle(A, (t * 11)) → f_1
15. Circle(A, (t * 12)) → g_1
16. Circle(A, (t * 13)) → h_1
17. Circle(A, (t * 14)) → k_1
18. Circle(A, (t * 15)) → p_1
19. Circle(A, (t * 16)) → q_1
20. Circle(A, (t * 17)) → r_1
21. Circle(A, (t * 18)) → s_1
22. Circle(A, (t * 19)) → t_1
23. Circle(A, (t * 20)) → c_2
24. Intersect(c, i, 1) → D
25. Intersect(e, i, 1) → E
26. Intersect(k, i, 1) → F
27. Intersect(p, i, 1) → G
28. Intersect(q, i, 1) → H
29. Intersect(r, i, 1) → I
30. Intersect(s, i, 1) → J
31. Intersect(c_1, i, 1) → K
32. Intersect(d_1, i, 1) → L
33. Intersect(e_1, i, 1) → M
34. Intersect(f_1, i, 1) → N
35. Intersect(g_1, i, 1) → O
36. Intersect(h_1, i, 1) → P
37. Intersect(k_1, i, 1) → Q
38. Intersect(p_1, i, 1) → R
39. Intersect(q_1, i, 1) → S
40. Intersect(r_1, i, 1) → T
41. Intersect(s_1, i, 1) → U
42. Intersect(t_1, i, 1) → V
43. LineBisector(g) → j
44. Mirror(V, j) → V'
45. Mirror(U, j) → U'
46. Mirror(T, j) → T'
47. Mirror(S, j) → S'
48. Mirror(R, j) → R'
49. Mirror(Q, j) → Q'
50. Mirror(P, j) → P'
51. Mirror(O, j) → O'
52. Mirror(N, j) → N'
53. Mirror(M, j) → M'
54. Mirror(L, j) → L'
55. Mirror(K, j) → K'
56. Mirror(J, j) → J'
57. Mirror(I, j) → I'
58. Mirror(H, j) → H'
59. Mirror(G, j) → G'
60. Mirror(F, j) → F'
61. Mirror(E, j) → E'
62. Mirror(D, j) → D'
63. LineBisector(A, B) → l
64. Mirror(V, l) → V'_{1}
65. Mirror(U, l) → U'_{1}
66. Mirror(T, l) → T'_{1}
67. Mirror(S, l) → S'_{1}
68. Mirror(R, l) → R'_{1}
69. Mirror(Q, l) → Q'_{1}
70. Mirror(P, l) → P'_{1}
71. Mirror(O, l) → O'_{1}
72. Mirror(O, l) → O'_{2}
73. Mirror(N, l) → N'_{1}
74. Mirror(L, l) → L'_{1}
75. Mirror(M, l) → M'_{1}
76. Mirror(K, l) → K'_{1}
77. Mirror(J, l) → J'_{1}
78. Mirror(I, l) → I'_{1}
79. Mirror(H, l) → H'_{1}
80. Mirror(G, l) → G'_{1}
81. Mirror(F, l) → F'_{1}
82. Mirror(E, l) → E'_{1}
83. Mirror(D, l) → D'_{1}
84. Segment(V, D') → m
85. Segment(D', D'_{1}) → n
86. Segment(D'_{1}, V) → a
87. Segment(U, E') → b
88. Segment(E', E'_{1}) → i_1
89. Segment(E'_{1}, U) → j_1
90. Segment(T, F') → l_1
91. Segment(F', F'_{1}) → m_1
92. Segment(F'_{1}, T) → n_1
93. Segment(S, G') → a_1
94. Segment(G', G'_{1}) → b_1
95. Segment(G'_{1}, S) → f_2
96. Segment(R, H') → g_2
97. Segment(H', H'_{1}) → h_2
98. Segment(H'_{1}, R) → i_2
99. Segment(Q, I') → j_2
100. Segment(I', I'_{1}) → k_2
101. Segment(I'_{1}, Q) → l_2
102. Segment(P, J') → m_2
103. Segment(J', J'_{1}) → n_2
104. Segment(J'_{1}, P) → p_2
105. Segment(O, K') → q_2
106. Segment(K', K'_{1}) → r_2
107. Segment(K'_{1}, O) → s_2
108. Segment(N, L') → t_2
109. Segment(L', L'_{1}) → a_2
110. Segment(L'_{1}, N) → b_2
111. Segment(M, M') → d_2
112. Segment(M', M'_{1}) → e_2
113. Segment(M'_{1}, M) → f_3
114. Segment(L, N') → g_3
115. Segment(N', N'_{1}) → h_3
116. Segment(L, N'_{1}) → i_3
117. Segment(K, O') → j_3
118. Segment(O', O'_{1}) → k_3
119. Segment(O'_{1}, K) → l_3
120. Segment(J, P') → m_3
121. Segment(P', P'_{1}) → n_3
122. Segment(P'_{1}, J) → p_3
123. Segment(I, Q') → q_3
124. Segment(Q', Q'_{1}) → r_3
125. Segment(Q'_{1}, I) → s_3
126. Segment(H, R') → t_3
127. Segment(R', R'_{1}) → a_3
128. Segment(R'_{1}, H) → b_3
129. Segment(G, S') → c_3
130. Segment(S', S'_{1}) → d_3
131. Segment(S'_{1}, G) → e_3
132. Segment(F, T') → f_4
133. Segment(T', T'_{1}) → g_4
134. Segment(T'_{1}, F) → h_4
135. Segment(E, U') → i_4
136. Segment(U', U'_{1}) → j_4
137. Segment(U'_{1}, E) → k_4
138. Segment(D, V') → l_4
139. Segment(V', V'_{1}) → m_4
140. Segment(D, V'_{1}) → n_4
141. Segment(C, A) → p_4
142. Segment(A, B) → q_4
143. Segment(B, C) → r_4