Theodorus Spiral

GeoGebra Commands & Parameters

1. Intersect(xAxis, yAxis) → A
2. Sequence(Circle[A, i^(1 / 2)], i, 2, 17) → list1
3. Point(xAxis) → B
4. Point(list1) → C
5. Polygon(A, B, C) → poly1, c, a, b
6. Circle(C, 1) → d
7. Circle(A, B2) → C2
8. Intersect(d, C2) → D, E, ,
9. Circle(A, B3) → C3
10. Circle(A, B4) → C4
11. Circle(A, B5) → C5
12. Circle(A, B6) → C6
13. Circle(A, B7) → C7
14. Circle(A, B8) → C8
15. Circle(A, B9) → C9
16. Circle(A, B10) → C10
17. Circle(A, B11) → C11
18. Circle(A, B12) → C12
19. Circle(A, B13) → C13
20. Circle(A, B14) → C14
21. Circle(A, B15) → C15
22. Circle(A, B16) → C16
23. Circle(A, B17) → C17
24. Circle(A, B18) → C18
25. Circle(C, 1) → e
26. Intersect(C4, e, 1) → F
27. Polygon(A, C, F) → poly2, f, a_1, c_1
28. Circle(F, 1) → g
29. Intersect(C5, g, 1) → G
30. Polygon(A, F, G) → poly3, g_1, a_2, f_1
31. Circle(G, 1) → h
32. Intersect(C6, h, 1) → H
33. Polygon(A, G, H) → poly4, h_1, a_3, g_2
34. Circle(H, 1) → k
35. Intersect(C7, k, 1) → I
36. Circle(I, 1) → p
37. Intersect(C8, p, 1) → J
38. Circle(J, 1) → q
39. Intersect(C9, q, 1) → K
40. Circle(K, 1) → r
41. Intersect(C10, r, 1) → L
42. Circle(L, 1) → s
43. Intersect(C11, s, 1) → M
44. Circle(M, 1) → t
45. Intersect(C12, t, 1) → N
46. Circle(N, 1) → d_1
47. Intersect(C13, d_1, 1) → O
48. Circle(O, 1) → e_1
49. Intersect(C14, e_1, 1) → P
50. Circle(P, 1) → k_1
51. Intersect(C15, k_1, 1) → Q
52. Circle(Q, 1) → p_1
53. Intersect(C16, p_1, 1) → R
54. Circle(R, 1) → q_1
55. Intersect(C17, q_1, 1) → S
56. Circle(S, 1) → r_1
57. Intersect(C18, r_1, 1) → T
58. Polygon(A, H, I) → poly5, i, a_4, h_2
59. Polygon(A, I, J) → poly6, j, a_5, i_1
60. Polygon(A, J, K) → poly7, k_2, a_6, j_1
61. Polygon(L, A, K) → poly8, k_3, l, a_7
62. Polygon(M, A, L) → poly9, l_1, m, a_8
63. Polygon(N, A, M) → poly10, m_1, n_2, a_9
64. Polygon(O, A, N) → poly11, n_1, o, a_{10}
65. Polygon(P, A, O) → poly12, o_1, p_2, a_{11}
66. Polygon(Q, A, P) → poly13, p_3, q_2, a_{12}
67. Polygon(R, A, Q) → poly14, q_3, r_2, a_{13}
68. Polygon(S, A, R) → poly15, r_3, s_1, a_{14}
69. Polygon(T, A, S) → poly16, s_2, t_1, a_{15}