蝴蝶效应：分数加法中的可视化构造

GeoGebra 命令及参数

1. Random(1, 9) → n'1
2. Random(1, 9) → d1
3. Random(1, 9) → d'2
4. If(n'1 ≟ d1, n'1 + 1, n'1) → n1
5. Random(1, 9) → n2
6. If(d'2 ≟ d1, d1 + 1, d'2) → d2
7. Ellipse(A, B, C) → c
8. OrthogonalLine(D, xAxis) → a
9. Mirror(c, a) → c'
10. Point(c) → E
11. CircumcircleArc(E, F, G) → d
12. CircumcircleArc(G, H, I) → e
13. Mirror(E, a) → E'
14. Mirror(F, a) → F'
15. Mirror(G, a) → G'
16. CircumcircleArc(E', F', G') → d'
17. Mirror(G, a) → G'_1
18. Mirror(H, a) → H'
19. Mirror(I, a) → I'
20. CircumcircleArc(G'_1, H', I') → e'
21. Segment(J, K) → b
22. Mirror(J, a) → J'
23. Mirror(K, a) → K'
24. Segment(J', K') → b'
25. Point(c') → L
26. Point(a) → M
27. CircumcircleArc(L, O, M) → f
28. Mirror(L, a) → L'
29. Mirror(O, a) → O'
30. Mirror(M, a) → M'
31. CircumcircleArc(L', O', M') → f'
32. Segment(N, P) → g
33. GCD(nres, dd) → m
34. Segment(Q, R) → h
35. CircumcircleArc(S, T, U) → k
36. CircumcircleArc(V, W, Z) → p
37. Point(k) → A_1
38. Vector(A_1, U) → u
39. Point(p) → B_1
40. Vector(B_1, Z) → v