Vasarely's Ara Inspiration

GeoGebra Commands & Parameters

1. Circle(A, B) → c
2. Dilate(c, k, C) → c'
3. Circle(D, E) → d
4. Dilate(d, k, C) → d'
5. Circle(F, G) → e
6. Dilate(e, k, C) → e'
7. Rotate(c', 60*°, C) → c''
8. Rotate(d', 60*°, C) → d''
9. Rotate(e', 60*°, C) → e''
10. Rotate(c'', 60*°, C) → c'''
11. Rotate(d'', 60*°, C) → d'''
12. Rotate(e'', 60*°, C) → e'''
13. Rotate(c''', 60*°, C) → f
14. Rotate(d''', 60*°, C) → g
15. Rotate(e''', 60*°, C) → h
16. Rotate(f, 60*°, C) → f'
17. Rotate(g, 60*°, C) → g'
18. Rotate(h, 60*°, C) → h'
19. Rotate(f', 60*°, C) → f''
20. Rotate(g', 60*°, C) → g''
21. Rotate(h', 60*°, C) → h''
22. Intersect(c', c'', 1) → H
23. Ray(C, H) → a
24. Point(a) → I
25. Circle(C, I) → p
26. Rotate(C, 30*°, C) → C'
27. Rotate(H, 30*°, C) → H'
28. Ray(C', H') → a'
29. Rotate(C', 30*°, C) → C''
30. Rotate(H', 30*°, C) → H''
31. Ray(C'', H'') → a''
32. Rotate(C'', 30*°, C) → C'''
33. Rotate(H'', 30*°, C) → H'''
34. Ray(C''', H''') → a'''
35. Rotate(C''', 30*°, C) → J
36. Rotate(H''', 30*°, C) → K
37. Ray(J, K) → b
38. Rotate(J, 30*°, C) → J'
39. Rotate(K, 30*°, C) → K'
40. Ray(J', K') → b'
41. Rotate(J', 30*°, C) → J''
42. Rotate(K', 30*°, C) → K''
43. Ray(J'', K'') → b''
44. Rotate(J'', 30*°, C) → J'''
45. Rotate(K'', 30*°, C) → K'''
46. Ray(J''', K''') → b'''
47. Rotate(J''', 30*°, C) → L
48. Rotate(K''', 30*°, C) → M
49. Ray(L, M) → i
50. Rotate(L, 30*°, C) → L'
51. Rotate(M, 30*°, C) → M'
52. Ray(L', M') → i'
53. Rotate(L', 30*°, C) → L''
54. Rotate(M', 30*°, C) → M''
55. Ray(L'', M'') → i''
56. Rotate(L'', 30*°, C) → L'''
57. Rotate(M'', 30*°, C) → M'''
58. Ray(L''', M''') → i'''
59. Intersect(p, a', 1) → N
60. Intersect(p, b', 1) → O
61. Intersect(p, b''', 1) → P
62. Intersect(p, i', 1) → Q
63. Intersect(p, i''', 1) → R
64. Intersect(p, a''', 1) → S
65. Rotate(S, α, C) → S'
66. Rotate(O, α, C) → O'
67. Rotate(P, α, C) → P'
68. Rotate(Q, α, C) → Q'
69. Rotate(R, α, C) → R'
70. Rotate(N, α, C) → N'
71. Point(b') → W
72. Point(a''') → Z
73. Point(a') → A_1
74. Point(i''') → B_1
75. Point(i') → C_1
76. Point(b''') → D_1
77. Rotate(Z, (-α), C) → Z'
78. Rotate(W, (-α), C) → W'
79. Rotate(D_1, (-α), C) → T
80. Rotate(C_1, (-α), C) → U
81. Rotate(B_1, (-α), C) → V
82. Rotate(A_1, (-α), C) → E_1
83. Point(a''') → G_1
84. Point(a') → H_1
85. Point(i''') → I_1
86. Point(i') → J_1
87. Point(b''') → K_1
88. Point(b') → L_1
89. Rotate(G_1, α, C) → F_1
90. Rotate(L_1, α, C) → M_1
91. Rotate(K_1, α, C) → N_1
92. Rotate(J_1, α, C) → O_1
93. Rotate(I_1, α, C) → P_1
94. Rotate(H_1, α, C) → Q_1
95. Point(a''') → R_1
96. Point(b') → S_1
97. Point(a') → U_1
98. Point(i''') → V_1
99. Point(i') → T_1
100. Point(b''') → W_1
101. Rotate(R_1, (-α), C) → Z_1
102. Rotate(W_1, (-α), C) → A_2
103. Rotate(T_1, (-α), C) → B_2
104. Rotate(V_1, (-α), C) → C_2
105. Rotate(U_1, (-α), C) → D_2
106. Rotate(S_1, (-α), C) → E_2
107. Point(a'') → L_2
108. Point(b) → G_2
109. Circle(G_2, H_2) → q
110. Rotate(q, 120*°, C) → q'
111. Rotate(q', 120*°, C) → q''
112. Circle(C, I_2) → r
113. Circle(C, J_2) → s
114. Circle(C, K_2) → t
115. Intersect(c'', c''', 2) → M_2
116. Circle(C, M_2) → c_1