正方形情形下的对数螺线

GeoGebra 命令及参数

1. Intersect(xAxis, yAxis) → A
2. Circle(A, a) → c
3. Intersect(c, xAxis, 2) → B
4. Circle(B, d) → e
5. Intersect(e, c) → C, D, ,
6. Segment(B, D) → f
7. Segment(B, C) → g
8. Circle(C, d) → h
9. Intersect(h, c, 1) → E
10. Segment(C, E) → i
11. Segment(E, D) → j
12. Polygon(D, E, C, B) → q1, d_1, e_1, c_1, b_1
13. Rotate(D, (-(45°)), A) → D'
14. Rotate(E, (-(45°)), A) → E'
15. Rotate(C, (-(45°)), A) → C'
16. Rotate(B, (-(45°)), A) → B'
17. Polygon(D', E', C', B') → q1', d', e', c', b'
18. CurveCartesian(((a * ℯ^((-θ))); θ), θ, 0, (4 * π)) → b
19. Rotate(b, (-(45°)), A) → b'_1
20. LineBisector(b') → k
21. Mirror(b'_1, k) → l
22. Mirror(l, p) → l'
23. Mirror(l, k) → l'_1
24. LineBisector(d') → m
25. LineBisector(e') → n
26. Mirror(l', m) → l''
27. Mirror(l'', q) → l'''
28. Mirror(n, m) → n'
29. Mirror(Mirror[Mirror[l'', n], n'], n') → o
30. Mirror(l''', q) → r
31. Mirror(r, n') → r'
32. Mirror(r, s) → r'_1
33. Point(o) → F
34. Point(b'_1) → G
35. Point(l') → H
36. Point(r'_1) → I
37. Polygon(H, I, F, G) → q2, h_1, i_1, f_1, g_1
38. Tangent(F, r') → t
39. Tangent(G, b'_1) → j_1
40. Tangent(H, l') → k_1
41. Tangent(I, r'_1) → l_1
42. Circle(F, 1) → p_1
43. Intersect(p_1, t) → J, K
44. Circle(G, 1) → q_1
45. Circle(H, 1) → r_1
46. Circle(I, 1) → s_1
47. Intersect(s_1, l_1, 2) → L
48. Intersect(r_1, k_1, 2) → P
49. Intersect(q_1, j_1, 2) → M
50. Vector(G, M) → v
51. Vector(H, P) → w
52. Vector(I, L) → u_1
53. Vector(F, J) → u