Baravelle Spirals

GeoGebra Commands & Parameters

1. Polygon(A, B, 4) → poly1, f, g, h, i, C, D
2. Point(f) → E
3. Distance(A, E) → AE
4. Distance(A, B) → AB
5. Circle(B, Segment[A, E]) → c
6. Intersect(c, g, 1) → F
7. Polygon(E, F, 4) → poly2, j, l, m, n, G, H
8. Circle(E, (k * j)) → d
9. Intersect(d, j, 1) → I
10. Intersect(g, j) → J
11. Circle(F, Segment[E, I]) → e
12. Intersect(e, l, 1) → K
13. Polygon(I, K, 4) → poly3, p, q, r, s, L, M
14. Circle(I, (p * k)) → t
15. Intersect(t, p, 1) → N
16. Circle(K, Segment[I, N]) → c_1
17. Intersect(c_1, q, 1) → O
18. Polygon(N, O, 4) → poly4, a, b, f_1, g_1, P, Q
19. Circle(N, (a * k)) → d_1
20. Intersect(d_1, a) → R,
21. Circle(O, Segment[N, R]) → e_1
22. Intersect(e_1, b, 1) → S
23. Polygon(R, S, 4) → poly5, h_1, i_1, j_1, k_1, T, U
24. Circle(R, (h_1 * k)) → p_1
25. Intersect(p_1, h_1, 1) → V
26. Circle(S, Segment[R, V]) → q_1
27. Intersect(q_1, i_1, 1) → W
28. Polygon(V, W, 4) → poly6, l_1, m_1, n_1, r_1, Z, A_1
29. Circle(V, (l_1 * k)) → s_1
30. Intersect(s_1, l_1) → B_1,
31. Circle(W, Segment[V, B_1]) → t_1
32. Intersect(t_1, m_1, 1) → C_1
33. Polygon(B_1, C_1, 4) → poly7, a_1, b_1, f_2, g_2, D_1, E_1
34. Polygon(D, H, G) → t1, g_3, d_2, h_2
35. Polygon(H, M, L) → t2, l_2, h_3, m_2
36. Polygon(M, Q, P) → t3, p_2, m_3, q_2
37. Polygon(U, T, Q) → t4, q_3, u, t_2
38. Polygon(U, A_1, Z) → t5, z_1, u_1, a_2
39. Polygon(A_1, E_1, D_1) → t6, d_3, a_3, e_2
40. Polygon(C_1, W, B_1) → t7, b_2, c_2, w
41. Polygon(W, S, V) → t8, v, w_1, s_2
42. Polygon(S, O, R) → t9, r_2, s_3, o
43. Polygon(O, K, N) → t10, n_2, o_1, k_2
44. Polygon(K, F, I) → t11, i_2, k_3, f_3
45. Polygon(E_1, V, B_1) → t12, b_3, e_3, v_1
46. Polygon(A_1, R, V) → t13, v_2, a_4, r_3
47. Polygon(U, N, R) → t14, r_4, u_2, n_3
48. Polygon(Q, I, N) → t15, n_4, q_4, i_3
49. Polygon(M, E, I) → t16, i_4, m_4, e_4
50. Polygon(H, A, E) → t17, e_5, h_4, a_5
51. Polygon(F, B, E) → t18, e_6, f_4, b_4
52. Polygon(D_1, Z, C_1) → t19, c_3, d_4, z_2
53. Polygon(Z, T, W) → t20, w_2, z_3, t_3
54. Polygon(T, P, S) → t21, s_4, t_4, p_3
55. Polygon(P, L, O) → t22, o_2, p_4, l_3
56. Polygon(L, G, K) → t23, k_4, l_4, g_4
57. Polygon(G, C, F) → t24, f_5, g_5, c_4
58. Polygon(A, B, 4) → poly8, j_2, j_3, j_4, h_5, F_1, G_1
59. Polygon(A_2, B_2, 4) → poly1_1, f_{10}, g_{10}, h_{11}, i_9, C_2, D_3
60. Distance(A_2, B_2) → AB_1
61. Polygon(A_4, B_4, 4) → poly1_2, f_{20}, g_{20}, h_{23}, i_{19}, C_6, D_7
62. Distance(A_4, B_4) → AB_2
63. Polygon(A_5, B_5, 4) → poly1_3, f_{21}, g_{21}, h_{22}, i_{18}, C_4, D_5
64. Distance(A_5, B_5) → AB_3