3D Desk Fan: Rotation Animation with Trigonometric Functions

GeoGebra Commands & Parameters

1. Intersect(xAxis, yAxis) → A
2. Circle(A, 0.7) → c
3. Intersect(c, yAxis, 1) → B
4. Rotate(B, 30°, A) → B'
5. Rotate(B, -30°, A) → B'_{1}
6. Rotate(B'_{1}, α, A) → C
7. Segment(A, C) → f
8. OrthogonalPlane(C, f) → p
9. Circle(C, 1, f) → d
10. Line(A, C) → g
11. Point(d) → D
12. Rotate(D, (-β), g) → D'
13. Segment(D', C) → h
14. Circle(D', 0.25, g) → q
15. Segment(D', C) → l
16. Intersect(l, q, 1) → H
17. Circle(C, 0.1, g) → r
18. Circle(H, 0.25, g) → s
19. Intersect(s, q, 1) → I
20. Intersect(s, q, 2) → J
21. Intersect(l, r, 2) → K
22. Circle(K, 0.1, g) → t
23. Intersect(t, r) → L, M, ,
24. Polygon(D', I, M, C, L, J) → poly1, d', i_1, m, c_1, l_1, j_1
25. Rotate(poly1, 120°, g) → poly1'
26. Rotate(poly1, 240°, g) → poly1'_{1}
27. Circle(C, 1.1, g) → e
28. Line(E, g) → i
29. Line(G, g) → j
30. Intersect(i, e, 1) → F
31. Intersect(j, e, 1) → N
32. Sphere(C, 0.3) → a
33. Intersect(g, a, 2) → O
34. CircumcircleArc(F, O, N) → k
35. Rotate(k, 30°, g) → k'
36. Rotate(k', 30°, g) → k''
37. Rotate(k'', 30°, g) → k'''
38. Rotate(k''', 30°, g) → d_1
39. Rotate(d_1, 30°, g) → e_1
40. Rotate(k, 15°, g) → k'_{1}
41. Rotate(k', 15°, g) → k''_{1}
42. Rotate(k'', 15°, g) → k'''_{1}
43. Rotate(k''', 15°, g) → f_1
44. Rotate(d_1, 15°, g) → g_1
45. Rotate(e_1, 15°, g) → h_1
46. Plane(F, I, N) → p_1
47. Mirror(k, p_1) → k'_{2}
48. Mirror(k'_{1}, p_1) → k_1
49. Mirror(k', p_1) → k''_{2}
50. Mirror(k''_{1}, p_1) → q_1
51. Mirror(k'', p_1) → k'''_{2}
52. Mirror(k'''_{1}, p_1) → r_1
53. Mirror(k''', p_1) → s_1
54. Mirror(f_1, p_1) → t_1
55. Mirror(d_1, p_1) → c_2
56. Mirror(g_1, p_1) → d_2
57. Mirror(e_1, p_1) → e_2
58. Mirror(h_1, p_1) → f_2
59. Intersect(k_1, k'_{2}) → P, Q, ,
60. OrthogonalLine(A, g) → n
61. Point(n) → R
62. Circle(R, 0.2) → g_2
63. Intersect(g_2, n, 1) → S
64. OrthogonalLine(P, g, xOyPlane) → b
65. Circle(P, 0.25, xOyPlane) → h_2
66. Intersect(s_1, h_2, 2) → T
67. Segment(S, T) → m_1
68. Intersect(g_2, g, 1) → U
69. Sphere(R, U) → u
70. Point(zAxis) → V
71. Point(zAxis) → W
72. Intersect(g_2, g, 1) → Z
73. Line(V, g) → n_1
74. Point(zAxis) → B_1
75. Point(g_1) → G_1
76. Circle(g, G_1) → r_2
77. Point(g_1) → H_1
78. Circle(g, H_1) → s_2
79. Cylinder(A, B_1, 0.2) → o, c_3, d_3, v
80. Cylinder(P, A, 0.2) → w, e_3, f_3, o_1
81. Cylinder(V, B_1, 0.7) → a_1, k_2, p_2, b_1