Pythagorean Spiral

GeoGebra Commands & Parameters

1. Circle(A, a) → c
2. Point(Circle[A, 1]) → C
3. Segment(A, C) → e
4. OrthogonalLine(A, e) → b
5. Intersect(c, b) → B, D
6. Polygon(D, C, A) → poly1, a_1, d, c_1
7. OrthogonalLine(D, a_1) → f
8. Circle(D, a) → g
9. Intersect(g, f) → E, F
10. Polygon(D, F, C) → poly2, c_2, d_1, f_1
11. Circle(F, a) → k
12. OrthogonalLine(F, d_1) → h
13. Intersect(k, h, 2) → G
14. Polygon(G, C, F) → poly3, f_2, g_1, c_3
15. OrthogonalLine(G, f_2) → i
16. Circle(G, a) → p
17. Intersect(p, i, 2) → H
18. Polygon(H, C, G) → poly4, g_2, h_1, c_4
19. OrthogonalLine(H, g_2) → j
20. Circle(H, a) → q
21. Intersect(q, j, 2) → I
22. Polygon(I, C, H) → poly5, h_2, i_1, c_5
23. OrthogonalLine(I, h_2) → l
24. Circle(I, a) → r
25. Intersect(r, l, 2) → J
26. Polygon(I, J, C) → poly6, c_6, i_2, j_1
27. OrthogonalLine(J, i_2) → m
28. Circle(J, a) → s
29. Intersect(s, m, 2) → K
30. Polygon(J, K, C) → poly7, c_7, j_2, k_1
31. OrthogonalLine(K, j_2) → n
32. Circle(K, a) → t
33. Intersect(t, n, 2) → L
34. Polygon(K, L, C) → poly8, c_8, k_2, l_1
35. OrthogonalLine(L, k_2) → b_1
36. Circle(L, a) → e_1
37. Intersect(e_1, b_1, 2) → M
38. Polygon(L, M, C) → poly9, c_9, l_2, m_1
39. OrthogonalLine(M, l_2) → n_1
40. Circle(M, a) → p_1
41. Intersect(p_1, n_1, 2) → N
42. Polygon(M, N, C) → poly10, c_{10}, m_2, n_2
43. OrthogonalLine(N, m_2) → q_1
44. Circle(N, a) → r_1
45. Intersect(r_1, q_1, 2) → O
46. Polygon(N, O, C) → poly11, c_{11}, n_3, o
47. OrthogonalLine(O, n_3) → s_1
48. Circle(O, a) → t_1
49. Intersect(t_1, s_1, 2) → P
50. Polygon(O, P, C) → poly12, c_{12}, o_1, p_2
51. OrthogonalLine(P, o_1) → a_2
52. Circle(P, a) → d_2
53. Intersect(d_2, a_2, 2) → Q
54. Polygon(P, Q, C) → poly13, c_{13}, p_3, q_2
55. Angle(C, A, D) → α
56. Angle(C, D, F) → β
57. Angle(C, F, G) → γ
58. Angle(C, G, H) → δ
59. Angle(C, H, I) → ε
60. Angle(C, I, J) → ζ
61. Angle(C, J, K) → η
62. Angle(C, K, L) → θ
63. Angle(C, L, M) → ι
64. Angle(C, M, N) → κ
65. Angle(C, N, O) → λ
66. Angle(C, O, P) → μ
67. Angle(C, P, Q) → ν