三角嵌套

GeoGebra 命令及参数

1. Segment(A, B) → f
2. Segment(B, C) → g
3. Segment(C, A) → h
4. Dilate(A, 1 / 3, A) → A'
5. Dilate(B, 1 / 3, A) → B'
6. Segment(A', B') → f'
7. Midpoint(B', B) → D
8. Midpoint(A, B) → E
9. Segment(C, D) → i
10. Dilate(C, 1 / 3, A) → C'
11. Dilate(A, 1 / 3, A) → A'_1
12. Segment(C', A'_1) → h'
13. Dilate(B, 1 / 3, B) → B'_1
14. Dilate(C, 1 / 3, B) → C'_1
15. Segment(B'_1, C'_1) → g'
16. Midpoint(C', C) → F
17. Midpoint(C, C'_1) → G
18. Midpoint(C, A) → H
19. Midpoint(C, B) → I
20. Segment(A, G) → j
21. Segment(B, C') → k
22. Intersect(j, k) → J
23. Intersect(j, i) → K
24. Intersect(i, k) → L
25. Segment(H, B') → l
26. Segment(I, F) → m
27. Segment(C'_1, E) → n
28. Polygon(J, L, K) → poly1, k_1, j_1, l_1
29. Polygon(E, B, L) → poly2, l_2, e, b
30. Polygon(I, K, C) → poly3, c, i_1, k_2
31. Polygon(H, J, A) → poly4, a, h_1, j_2
32. Semicircle(M, N) → d
33. Midpoint(N, M) → O
34. Point(d) → P
35. Segment(O, P) → p
36. Segment(O, M) → q
37. Angle(P, O, M) → α
38. Rotate(E, (-α), E) → E'
39. Rotate(B, (-α), E) → B'_2
40. Rotate(L, (-α), E) → L'
41. Polygon(E', B'_2, L') → poly2', l', e', b'_2
42. Rotate(D, (-α), E) → D'
43. Segment(L', D') → r
44. Segment(E, B') → s
45. Rotate(C', (-α), H) → C''
46. Rotate(H, (-α), H) → H'
47. Rotate(J, (-α), H) → J'
48. Rotate(A, (-α), H) → A'_2
49. Polygon(H', J', A'_2) → poly4', a'_2, h'_1, j'
50. Segment(J', C'') → t
51. Segment(H, C) → f_1
52. Segment(J, B) → g_1
53. Rotate(I, (-α), I) → I'
54. Rotate(K, (-α), I) → K'
55. Rotate(C, (-α), I) → C'_2
56. Polygon(I', K', C'_2) → poly3', c'_2, i', k'
57. Segment(I, C'_1) → m_1
58. Segment(C, K) → n_1
59. Segment(A, K) → p_1
60. Segment(K, G) → q_1
61. Rotate(K, (-α), I) → K'_1
62. Rotate(G, (-α), I) → G'
63. Segment(K'_1, G') → r_1