Truncated Icosahedron

GeoGebra Commands & Parameters

1. Polygon(A, B, 3, xOyPlane) → poly1, f, g, h, C
2. Icosahedron(poly1, true) → a, D, faceACF, faceAFG, faceADG, faceABD, faceBDH, faceBEH, faceBCE, faceCEI, faceCFI, faceEHK, E, faceEIK, faceIKL, faceFIL, faceHJK, faceJKL, faceGJL, faceFGL, faceDHJ, faceDGJ, edgeAF, F, edgeCF, edgeAG, edgeFG, edgeAD, edgeDG, edgeBD, edgeBH, edgeDH, edgeBE, edgeEH, G, edgeCE, edgeCI, edgeEI, edgeFI, edgeEK, edgeHK, edgeIK, edgeIL, edgeKL, edgeFL, H, edgeJK, edgeHJ, edgeJL, edgeGL, edgeGJ, edgeDJ, I, J, K, L
3. Sphere(L, d) → c
4. Intersect(edgeGL, c) → M,
5. Intersect(edgeFL, c) → N,
6. Intersect(edgeJL, c) → O,
7. Intersect(edgeIL, c) → P,
8. Intersect(edgeKL, c) → Q,
9. Line(J, C) → i
10. Polygon(O, Q, P, N, M) → poly2, o, q, p, n, m
11. Rotate(poly2, -72°, i) → poly2'
12. Rotate(poly2, -144°, i) → poly2'_{1}
13. Sphere(B, d) → e
14. Intersect(edgeBE, e) → R,
15. Intersect(g, e) → S,
16. Intersect(edgeBH, e) → T,
17. Intersect(edgeBD, e) → U,
18. Intersect(f, e) → V,
19. Polygon(V, S, R, T, U) → poly3, v, s, r, t, u
20. Rotate(poly3, 72°, i) → poly3'
21. Rotate(poly3, 144°, i) → poly3'_{1}
22. Rotate(poly3, -72°, i) → poly3'_{2}
23. Sphere(J, d) → j
24. Intersect(edgeGJ, j) → W,
25. Intersect(edgeHJ, j) → Z,
26. Intersect(edgeJK, j) → A_1,
27. Intersect(edgeJL, j) → B_1,
28. Intersect(edgeDJ, j) → C_1,
29. Polygon(W, C_1, Z, A_1, B_1) → poly5, w, c_1, z_1, a_1, b_1
30. Sphere(C, d) → k
31. Intersect(g, k) → D_1,
32. Intersect(h, k) → E_1,
33. Intersect(edgeCE, k) → F_1,
34. Intersect(edgeCI, k) → G_1,
35. Intersect(edgeCF, k) → H_1,
36. Polygon(F_1, D_1, E_1, H_1, G_1) → poly6, f_1, d_1, e_1, h_1, g_1
37. Rotate(M, -72°, i) → M'
38. Rotate(M, -144°, i) → M'_{1}
39. Rotate(Q, -72°, i) → Q'
40. Rotate(Q, -144°, i) → Q'_{1}
41. Rotate(O, -72°, i) → O'
42. Rotate(O, -144°, i) → O'_{1}
43. Rotate(P, -72°, i) → P'
44. Rotate(P, -144°, i) → P'_{1}
45. Rotate(N, -72°, i) → N'
46. Rotate(N', -72°, i) → N''
47. Rotate(N'', -72°, i) → N'''
48. Polygon(Q'_{3}, P'_{3}, N''', M'_{3}, O'_{3}) → poly7, q'_{3}, p'_{3}, n''', m'_{3}, o'_{3}
49. Rotate(N''', -72°, i) → I_1
50. Polygon(Q'_{2}, P'_{2}, I_1, M'_{2}, O'_{2}) → poly8, q'_{2}, p'_{2}, i_1, m'_{2}, o'_{2}
51. Rotate(R, -72°, i) → R'
52. Rotate(R, -144°, i) → R'_{1}
53. Rotate(T, -72°, i) → T'
54. Rotate(T, -144°, i) → T'_{1}
55. Rotate(V, -72°, i) → V'
56. Rotate(V, -144°, i) → V'_{1}
57. Rotate(V, 72°, i) → V'_{2}
58. Rotate(V, 144°, i) → V'_{3}
59. Rotate(V, 72°, i) → V'_{4}
60. Rotate(V, 144°, i) → V'_{5}
61. Rotate(V, -72°, i) → V'_{6}
62. Rotate(V, 72°, i) → V'_{7}
63. Rotate(S, -72°, i) → S'
64. Rotate(S, -72°, i) → S'_{1}
65. Rotate(S, 72°, i) → S'_{2}
66. Rotate(S'_{2}, 72°, i) → K_1
67. Rotate(K_1, 72°, i) → L_1
68. Rotate(poly3'_{2}, -72°, i) → poly4
69. Polygon(M'_{2}, I_1, U''', T'_{1}, P, Q) → poly9, l, j_1, u''', t'_{1}, p_1, q_1
70. Rotate(poly9, -72°, i) → poly9'
71. Rotate(poly9, -144°, i) → poly9'_{1}
72. Polygon(P'_{3}, T, R, V'_{6}, J_1, N''') → poly10, k_1, t_1, r_1, v'_{6}, l_1, m_1
73. Rotate(poly10, -72°, i) → poly10'
74. Rotate(poly10, -144°, i) → poly10'_{1}
75. Polygon(W, O', M', Q'_{1}, O'_{1}, C_1) → poly11, w_1, o', m', q'_{1}, o'_{1}, n_1
76. Rotate(poly11, -144°, i) → poly11'
77. Rotate(poly11, -72°, i) → poly11'_{1}
78. Polygon(K_1, H_1, E_1, S'_{2}, V'_{7}, R'_{3}) → poly12, s_1, f_2, g_2, s'_{2}, v'_{7}, r'_{3}
79. Rotate(poly12, 72°, i) → poly12'
80. Rotate(poly12, -72°, i) → poly12'_{1}
81. Rotate(poly12'_{1}, 72°, i) → poly13
82. Rotate(poly11', -72°, i) → poly11''
83. Rotate(poly11'', -72°, i) → poly11'''
84. Rotate(poly9'_{1}, -72°, i) → poly14
85. Rotate(poly14, -72°, i) → poly14'
86. Rotate(poly12'_{1}, -72°, i) → poly16
87. Rotate(poly16, -72°, i) → poly16'
88. Rotate(poly10'_{2}, -72°, i) → poly15
89. Rotate(poly10, 72°, i) → poly10'_{3}
90. Rotate(poly10'_{3}, 72°, i) → poly17