测地线穹顶：基于正二十面体的球面三角剖分

GeoGebra 命令及参数

1. Icosahedron(A, B, C) → a, D, caraABC, caraACF, caraAFG, caraADG, caraABD, caraBDH, caraBEH, caraBCE, caraCEI, caraCFI, E, caraEHK, caraEIK, caraIKL, caraFIL, caraHJK, caraJKL, caraGJL, caraFGL, caraDHJ, caraDGJ, F, aristaAC, aristaAB, aristaBC, aristaAF, aristaCF, aristaAG, aristaFG, aristaAD, aristaDG, aristaBD, G, aristaBH, aristaDH, aristaBE, aristaEH, aristaCE, aristaCI, aristaEI, aristaFI, aristaEK, aristaHK, H, aristaIK, aristaIL, aristaKL, aristaFL, aristaJK, aristaHJ, aristaJL, aristaGL, aristaGJ, aristaDJ, I, J, K, L
2. Midpoint(F, C) → M
3. Midpoint(I, F) → N
4. Midpoint(I, C) → P
5. Ray(O, M) → f
6. Ray(O, N) → g
7. Ray(O, P) → h
8. Distance(O, A) → r
9. Sphere(O, A) → b
10. Intersect(f, b) → Q,
11. Intersect(g, b) → R,
12. Intersect(h, b) → S,
13. Polygon(F, R, Q) → t1, q, f_1, r_1
14. Polygon(Q, S, C) → t2, c, q_1, s
15. Polygon(R, I, S) → t3, s_1, r_2, i
16. Line(O, F) → eje
17. Polygon(R, Q, S) → t4, s_2, r_3, q_2
18. Sequence(Rotate[t4, (i * α), eje], i, 0, 4) → l2
19. Sequence(Rotate[l1, (i * α), eje], i, 0, 4) → l3
20. Midpoint(I, E) → T
21. Midpoint(C, E) → U
22. Midpoint(C, B) → V
23. Ray(O, T) → j
24. Ray(O, U) → k
25. Ray(O, V) → l
26. Intersect(j, b) → W,
27. Intersect(k, b) → Z,
28. Intersect(l, b) → A_1,
29. Polygon(I, W, S) → t5, s_3, i_1, w
30. Polygon(S, Z, C) → t7, c_1, s_4, z_2
31. Midpoint(E, B) → B_1
32. Ray(O, B_1) → m
33. Intersect(m, b) → C_1,
34. Polygon(S, W, Z) → t6, z_1, s_6, w_1
35. Polygon(C, Z, A_1) → t9, a_1, c_2, z_4
36. Sequence(Rotate[l4, (i * α), eje], i, 0, 4) → l5
37. Sequence(Rotate[t6, (i * α), eje], i, 0, 4) → l6