旋转对称性示例：多边形与圆的动态构造

GeoGebra 命令及参数

1. Point(l) → H
2. Point(h) → J
3. Point(g) → I
4. Segment(A, J) → r
5. Segment(A, I) → q
6. Segment(A, H) → p
7. Circle(A, E) → f
8. Intersect(f, r, 1) → B_1
9. Intersect(f, p, 1) → R
10. Circle(A, C) → d
11. Intersect(d, q, 1) → U
12. Point(xAxis) → B
13. Circle(A, B) → c
14. Circle(A, D) → e
15. Point(j) → F
16. Segment(A, F) → m
17. Point(i) → G
18. Segment(A, G) → n
19. Point(j) → K
20. Segment(A, K) → s
21. Point(k) → L
22. Segment(A, L) → t
23. Point(l) → M
24. Segment(A, M) → a
25. Point(g) → N
26. Segment(A, N) → b
27. Point(h) → O
28. Segment(A, O) → f_1
29. Point(k) → P
30. Segment(A, P) → g_1
31. Intersect(e, n, 1) → Q
32. Intersect(e, q, 1) → S
33. Intersect(e, p, 1) → T
34. Rotate(A, 90°, A) → A'
35. Rotate(Q, 90°, A) → Q'
36. Rotate(R, 90°, A) → R'
37. Rotate(T, 90°, A) → T'
38. Rotate(U, 90°, A) → U'
39. Rotate(A', 90°, A) → A''
40. Rotate(Q', 90°, A) → Q''
41. Rotate(R', 90°, A) → R''
42. Rotate(T', 90°, A) → T''
43. Rotate(U', 90°, A) → U''
44. Rotate(A'', 90°, A) → A'''
45. Rotate(Q'', 90°, A) → Q'''
46. Rotate(R'', 90°, A) → R'''
47. Rotate(T'', 90°, A) → T'''
48. Rotate(U'', 90°, A) → U'''
49. Intersect(f, n, 1) → V
50. Intersect(d, p, 1) → W
51. Intersect(f, q, 1) → Z
52. Polygon(A, R, R''', U) → poly1, h_1, i_1, j_1, k_1
53. Point(f) → A_1
54. Point(f) → C_1
55. Point(i) → E_1
56. Segment(D_1, E_1) → l_1