Dynamic Geometry Illustration by Tim Brzezinski (2)

GeoGebra Commands & Parameters

1. Segment(A, B) → f
2. Rotate(B, ((-π)) / 6, A) → B'
3. Angle(B, A, B') → α
4. Line(A, B') → g
5. Line(B, B') → h
6. Ray(A, B') → i
7. Point(i) → C
8. Ray(A, C) → j
9. Segment(C, B) → k
10. Rotate(C, ((-π)) / 6, B) → C'
11. Angle(C, B, C') → β
12. Ray(B, C') → l
13. LineBisector(C, A) → m
14. Intersect(m, l) → D
15. Segment(D, C) → n
16. Segment(D, A) → p
17. Angle(C, D, B) → γ
18. Angle(B, D, A) → δ
19. Intersect(j, l) → E
20. Min({p, n, k}) → a
21. Circle(B, (0.3 * a)) → c
22. Circle(A, (0.3 * a)) → d
23. Circle(D, (0.3 * a)) → e
24. Rotate(B, γ, D) → B'_1
25. Angle(B, D, B'_1) → ζ
26. Rotate(B'_1, γ, D) → F
27. Angle(B'_1, D, F) → η
28. Ray(D, B'_1) → q
29. Ray(D, F) → r
30. Rotate(A, ((-π)) / 3, B) → A'
31. Polygon(B, A', A) → t1, a_1, b, a'
32. Ray(D, B) → s
33. Segment(B, A') → t
34. Line(A', A) → f_1
35. Rotate(B, π / 6, A) → B'_2
36. Angle(B, A, B'_2) → θ
37. Rotate(A, ((-π)) / 6, B) → A'_1
38. Angle(A, B, A'_1) → ι
39. Ray(B, A'_1) → g_1
40. Ray(A, B'_2) → h_1
41. Intersect(d, h_1, 1) → G
42. Intersect(d, f_1, 1) → H
43. Intersect(h_1, g_1) → K
44. Polygon(C, B, A, D) → q1, c_1, b_1, a_2, d_1
45. Rotate(B, If[0 < o ≤ 1, (o * π / 3), π / 3], A) → B'_3
46. Segment(A, B'_3) → i_1
47. Rotate(A, If[1 < o ≤ 2, ((-(o - 1)) * π / 3), ((-π)) / 3], B) → A'_2
48. Segment(B, A'_2) → j_1
49. Dilate(B, If[2 < o ≤ 3, 3 - o, 0], K) → B'_4
50. Dilate(A, If[2 < o ≤ 3, 3 - o, 0], K) → A'_3
51. Segment(A, A'_3) → k_1
52. Rotate(H, If[3 < o ≤ 4, ((-(o - 3)) * π / 6), ((-π)) / 6], A) → H'
53. CircleSector(A, H', H) → e_1
54. Rotate(e_1, If[5 < o ≤ 6, ((-(o - 5)) * π / 6), ((-π)) / 6], A) → p_1
55. Dilate(A, If[6 < o ≤ 7, 7 - o, 0], C) → A'_4
56. Segment(A, A'_4) → l_1
57. Rotate(p_1, If[7 < o ≤ 8, ((-(o - 7)) * π / 6), ((-π)) / 6], A) → q_1
58. Midpoint(A, B) → L
59. Dilate(A, If[8 < o ≤ 9, 9 - o, 0], L) → A'_5
60. Vector(A, A'_5) → u
61. Translate(q_1, u) → r_1
62. Line(A, k) → m_1
63. Point(m_1) → M
64. Angle(M, A, B) → κ
65. Rotate(r_1, If[9 < o ≤ 10, ((-(o - 9)) * κ), (-κ)], L) → s_1
66. Dilate(L, If[10 < o ≤ 11, 11 - o, 0], B) → L'
67. Vector(L, L') → v
68. Translate(s_1, v) → t_1
69. Dilate(B, If[11 < o ≤ 12, 12 - o, 0], D) → B'_5
70. Segment(B, B'_5) → n_1
71. Intersect(e, n, 1) → N
72. Dilate(D, If[12 < o ≤ 13, 13 - o, 0], C) → D'
73. Segment(D, D') → f_2
74. Rotate(C, If[13 < o ≤ 14, (((o - 13) * 4) * γ), (4 * γ)], D) → C'_1
75. Segment(D, C'_1) → g_2
76. Dilate(B, If[6 < o ≤ 7, 7 - o, 0], C) → B'_6
77. Segment(B, B'_6) → h_2
78. Rotate(N, If[15 < o ≤ 16, ((o - 15) * γ), γ], D) → N'
79. CircleSector(D, N, N') → c_2
80. Intersect(r, f_1) → I
81. Intersect(q, j_1) → J
82. Dilate(D, If[16 < o ≤ 17, 17 - o, 0], J) → D'_1
83. Dilate(D, If[16 < o ≤ 17, 17 - o, 0], I) → D'_2
84. Segment(D, D'_2) → i_2
85. Segment(D, D'_1) → j_2
86. Rotate(c_2, If[17 < o ≤ 18, ((o - 17) * γ), γ], D) → d_2
87. Rotate(d_2, If[19 < o ≤ 20, ((o - 19) * γ), γ], D) → e_2
88. Rotate(e_2, If[21 < o ≤ 22, ((o - 21) * γ), γ], D) → k_2
89. Dilate(A, If[-1 < o ≤ 0, (-o), 0], B) → A'_6
90. Segment(A, A'_6) → l_2