三角形转正方形谜题

GeoGebra 命令及参数

1. Polygon(A, B, 4) → poly1, a, b, c, d, C, D
2. Midpoint(A, D) → E
3. Circle(E, A) → f
4. Circle(A, E) → g
5. Intersect(f, g, 1) → G
6. Circle(G, E) → h
7. OrthogonalLine(E, d) → i
8. Intersect(h, i, 2) → J
9. Polygon(A, G, E) → poly3, e_1, a_2, g_1
10. Polygon(G, E, J) → poly4, j_1, g_2, e_2
11. Polygon(B, J, A) → poly2, a_1, b_1, j
12. Intersect(f, i) → L, M
13. Line(B, J) → k
14. Intersect(k, c) → N
15. Polygon(B, N, C) → poly6, c_1, b_2, n
16. OrthogonalLine(C, k) → l
17. OrthogonalLine(M, c) → e
18. Intersect(e, c) → O
19. Polygon(O, E, D) → poly5, d_1, o, e_3
20. Polygon(J, O, E) → poly7, e_4, j_2, o_1
21. Polygon(J, O, N) → poly8, n_1, j_3, o_2
22. Polygon(F, H, 3) → poly9, m, p, q, I
23. Distance(F, H) → distanceFH
24. Circle(K, r) → s
25. Point(s) → P
26. Rotate(P, 119.99999999999999°, K) → P'
27. Polygon(K, P, P') → poly10, p', k_1, p_1
28. Circle(Q, r) → t
29. Point(t) → R
30. Segment(R, Q) → f_1
31. OrthogonalLine(Q, f_1) → h_1
32. Intersect(t, h_1, 2) → S
33. Polygon(R, Q, S) → poly11, s_1, r_1, q_1
34. Circle(T, (2 * r)) → t_1
35. Point(t_1) → U
36. Rotate(U, 29.999999999999996°, T) → U'
37. Polygon(T, U, U') → poly12, u', t_2, u
38. Circle(V, k_1) → c_2
39. Point(c_2) → W
40. Segment(V, W) → i_1
41. Circle(W, q_1) → d_2
42. Intersect(d_2, i_1, 1) → Z
43. Rotate(Z, 45°, W) → Z'
44. Polygon(V, Z', W) → poly13, w, v, z'
45. Circle(A_1, (2 * r)) → f_2
46. Point(f_2) → B_1
47. Segment(A_1, B_1) → l_1
48. OrthogonalLine(B_1, l_1) → m_1
49. Rotate(B_1, 14.999999999999998°, A_1) → C_1
50. Line(A_1, C_1) → h_2
51. Intersect(m_1, h_2) → D_1
52. Polygon(A_1, B_1, D_1) → poly14, d_3, a_3, b_3
53. Circle(E_1, w) → k_2
54. Point(k_2) → F_1
55. Angle(J, O, N) → α
56. Rotate(F_1, α, E_1) → G_1
57. Angle(N, J, O) → β
58. Rotate(E_1, (-β), F_1) → H_1
59. Line(F_1, H_1) → i_2
60. Line(E_1, G_1) → l_2
61. Intersect(i_2, l_2) → I_1
62. Polygon(F_1, I_1, E_1) → poly15, e_5, f_3, i_3