施莱格尔图二十面体

GeoGebra 命令及参数

1. Circle(OO, 1, xOyPlane) → c
2. Intersect(xAxis, c, 1) → A
3. Rotate(A, 72°) → B
4. Point(Circle[Midpoint[A, B], (Distance[A, B] * sqrt(3) / 2), Segment[A, B]]) → C
5. Icosahedron(A, B, C) → a, D, zijvlakABC, zijvlakACF, zijvlakAFG, zijvlakADG, zijvlakABD, zijvlakBDH, zijvlakBEH, zijvlakBCE, zijvlakCEI, zijvlakCFI, E, zijvlakEHK, zijvlakEIK, zijvlakIKL, zijvlakFIL, zijvlakHJK, zijvlakJKL, zijvlakGJL, zijvlakFGL, zijvlakDHJ, zijvlakDGJ, F, RibbeAC, RibbeAB, RibbeBC, RibbeAF, RibbeCF, RibbeAG, RibbeFG, RibbeAD, RibbeDG, RibbeBD, G, RibbeBH, RibbeDH, RibbeBE, RibbeEH, RibbeCE, RibbeCI, RibbeEI, RibbeFI, RibbeEK, RibbeHK, H, RibbeIK, RibbeIL, RibbeKL, RibbeFL, RibbeJK, RibbeHJ, RibbeJL, RibbeGL, RibbeGJ, RibbeDJ, I, J, K, L
6. Midpoint(RibbeAC) → M
7. Segment(F, M) → f
8. Midpoint(RibbeCF) → N
9. Segment(A, N) → g
10. Intersect(f, g) → O
11. Midpoint(RibbeHK) → P
12. Midpoint(RibbeJK) → Q
13. Segment(P, J) → h
14. Segment(Q, H) → i
15. Intersect(h, i) → R
16. Line(O, R) → j
17. Point(j) → S
18. Point(j) → T
19. OrthogonalPlane(T, j) → b
20. Line(S, C) → k
21. Line(S, A) → l
22. Line(S, G) → m
23. Line(S, F) → n
24. Intersect(k, j) → U
25. Line(S, L) → p
26. Intersect(n, b) → V
27. Intersect(l, b) → W
28. Intersect(k, b) → Z
29. Polygon(Z, W, V) → driehoek1, v, z_1, w
30. Segment(S, W) → q
31. Segment(S, V) → r
32. Segment(Z, S) → s
33. Line(S, D) → t
34. Intersect(t, b) → A_1
35. Segment(S, A_1) → d
36. Ray(S, B) → e
37. Intersect(e, b) → B_1
38. Segment(S, B_1) → f_1
39. Segment(Z, B_1) → g_1
40. Segment(B_1, W) → h_1
41. Line(S, L) → i_1
42. Line(S, G) → j_1
43. Intersect(i_1, b) → C_1
44. Intersect(j_1, b) → D_1
45. Segment(S, C_1) → k_1
46. Segment(S, D_1) → l_1
47. Segment(V, C_1) → m_1
48. Segment(C_1, D_1) → n_1
49. Segment(V, D_1) → p_1
50. Segment(D_1, W) → q_1
51. Segment(D_1, A_1) → r_1
52. Segment(A_1, W) → s_1
53. Segment(A_1, B_1) → t_1
54. Line(S, K) → a_1
55. Line(C, E) → b_1
56. Line(S, I) → c_1
57. Intersect(c_1, b) → E_1
58. Intersect(a_1, b) → F_1
59. Segment(S, F_1) → e_1
60. Segment(S, E_1) → f_2
61. Segment(Z, E_1) → g_2
62. Segment(E_1, V) → j_2
63. Segment(E_1, C_1) → k_2
64. Segment(F_1, C_1) → n_2
65. Segment(F_1, E_1) → p_2
66. Line(S, J) → q_2
67. Intersect(q_2, b) → H_1
68. Segment(S, H_1) → r_2
69. Segment(H_1, C_1) → s_2
70. Segment(H_1, D_1) → t_2
71. Segment(H_1, A_1) → a_2
72. Segment(F_1, H_1) → b_2
73. Line(S, H) → c_2
74. Intersect(c_2, b) → I_1
75. Segment(S, I_1) → d_2
76. Segment(B_1, I_1) → e_2
77. Segment(I_1, F_1) → h_3
78. Segment(I_1, H_1) → i_3
79. Line(S, E) → j_3
80. Intersect(b, j_3) → G_1
81. Segment(Z, G_1) → h_2
82. Segment(E_1, G_1) → i_2
83. Segment(G_1, B_1) → l_2
84. Segment(F_1, G_1) → m_2
85. Segment(G_1, I_1) → d_1
86. Segment(I_1, A_1) → f_3