从十二面体开始绘制伊斯兰几何图案

GeoGebra 命令及参数

1. Intersect(xAxis, yAxis) → A
2. Point(xAxis) → B
3. Circle(A, B) → c
4. Rotate(B, 72°) → C
5. Polygon(B, C, 5) → veelhoek1, f, g, h, i, j, D, E, F
6. Dodecahedron(veelhoek1, true) → a, G, P, Q, R, S, T, U, zijvlakBFJPK, zijvlakBCGLK, zijvlakCDHMG, zijvlakDEINH, H, zijvlakEFJOI, zijvlakJOTUP, zijvlakKLQUP, zijvlakGLQRM, zijvlakHMRSN, zijvlakINSTO, zijvlakQRSTU, RibbeBK, RibbeFJ, RibbeJP, I, RibbeKP, RibbeKL, RibbeGL, RibbeCG, RibbeGM, RibbeHM, RibbeDH, RibbeHN, RibbeIN, RibbeEI, J, RibbeIO, RibbeJO, RibbeOT, RibbeTU, RibbePU, RibbeQU, RibbeLQ, RibbeQR, RibbeMR, RibbeRS, K, RibbeNS, RibbeST, L, M, N, O
7. Centroid(zijvlakQRSTU) → V
8. Midpoint(A, V) → W
9. Sphere(W, B) → b
10. Midpoint(RibbeQU) → Z
11. Midpoint(RibbeQR) → A_1
12. Midpoint(RibbeRS) → B_1
13. Midpoint(RibbeST) → C_1
14. Midpoint(RibbeTU) → D_1
15. Midpoint(U, Z) → E_1
16. Midpoint(Z, Q) → F_1
17. Midpoint(Q, A_1) → G_1
18. Midpoint(A_1, R) → H_1
19. Midpoint(R, B_1) → I_1
20. Midpoint(B_1, S) → J_1
21. Midpoint(C_1, S) → K_1
22. Midpoint(T, C_1) → L_1
23. Midpoint(T, D_1) → M_1
24. Midpoint(D_1, U) → N_1
25. Segment(E_1, H_1) → k
26. Segment(F_1, M_1) → l
27. Segment(G_1, J_1) → m
28. Segment(I_1, L_1) → n
29. Segment(K_1, N_1) → p
30. CircleArc(W, U, Q) → d
31. Angle(U, W, Q) → HoekUQ
32. Segment(W, Q) → r
33. Segment(U, W) → q
34. Intersect(Ray[W, E_1], d) → UQ,
35. Intersect(Ray[W, F_1], d) → UUQ,
36. CircleArc(W, Q, R) → e
37. Intersect(Ray[W, G_1], e) → GR,
38. Intersect(Ray[W, H_1], e) → RG,
39. Line((0, 0, 0), (0, 0, 1)) → as
40. Rotate(e, 72°, as) → e'
41. Rotate(e, 144°, as) → e'_1
42. Rotate(e, (-(144°)), as) → e'_2
43. CircleArc(W, L, Q) → s
44. CircleArc(W, P, U) → c_1
45. CircleArc(W, K, L) → d_1
46. CircleArc(W, P, K) → f_1
47. CircleArc(W, O, T) → g_1
48. CircleArc(W, O, J) → h_1
49. CircleArc(W, J, P) → k_1
50. CircleArc(W, N, S) → p_1
51. CircleArc(W, N, I) → q_1
52. CircleArc(W, I, O) → r_1
53. CircleArc(W, I, E) → s_1
54. CircleArc(W, H, N) → t_1
55. CircleArc(W, M, H) → c_2
56. CircleArc(W, M, R) → d_2
57. CircleArc(W, J, F) → e_2
58. CircleArc(W, K, B) → f_2
59. CircleArc(W, L, G) → g_2
60. CircleArc(W, G, C) → h_2
61. CircleArc(W, G, M) → k_2
62. CircleArc(W, H, D) → p_2
63. CircleArc(W, D, E, xOyPlane) → r_2
64. CircleArc(W, E, F) → s_2
65. CircleArc(W, F, B) → t_2
66. CircleArc(W, B, C) → c_3
67. CircleArc(W, C, D) → d_3
68. Rotate(GR, 144°, as) → GR'
69. Rotate(GR, 72°, as) → GR'_1
70. Rotate(GR, (-(144°)), as) → GR'_2
71. Rotate(RG, 144°, as) → RG'
72. Rotate(RG, (-(144°)), as) → RG'_1
73. Rotate(RG, 72°, as) → RG'_2
74. CircleArc(W, GR, RG'_2, xOyPlane) → t
75. Rotate(t, 72°, as) → t'
76. Rotate(t, 144°, as) → t'_1
77. Rotate(t, (-(144°)), as) → t'_2
78. CircleArc(W, UQ, RG) → e_1
79. Mirror(ring, W) → ring'
80. Centroid(zijvlakKLQUP) → O_1
81. Angle(O_1, W, V) → hoekhoek
82. Line(O_1, W) → asas
83. Rotate(ring, 72°, asas) → ring'_1
84. Rotate(ring'_1, 72°, asas) → l1
85. Rotate(ring'_1, 72°, as) → l2
86. Rotate(ring'_1, 144°, as) → l3
87. Rotate(ring'_1, (-(72°)), as) → l4
88. Rotate(ring'_1, (-(144°)), as) → l5
89. Rotate(l1, (-(144°)), as) → l1'
90. Rotate(l1, 144°, as) → l1'_1
91. Rotate(l1, 72°, as) → l1'_2
92. Rotate(l1, (-(72°)), as) → l1'_3
93. Mirror(vlakring, W) → vlakring'
94. Rotate(vlakring, 72°, asas) → vlakring'_1
95. Rotate(vlakring'_1, 72°, asas) → l6
96. Rotate(vlakring'_1, 72°, as) → l7
97. Rotate(vlakring'_1, (-(72°)), as) → l8
98. Rotate(vlakring'_1, (-(144°)), as) → l9
99. Rotate(vlakring'_1, 144°, as) → l10
100. Rotate(l6, 144°, as) → l6'
101. Rotate(l6, (-(144°)), as) → l6'_1
102. Rotate(l6, (-(72°)), as) → l6'_2
103. Rotate(l6, 72°, as) → l6'_3