双曲面作为直纹面

GeoGebra 命令及参数

1. Intersect(xAxis, yAxis) → A
2. Circle(A, 2) → c
3. Intersect(xAxis, yAxis) → B
4. Circle(B, 2) → d
5. Intersect(c, xAxis, 2) → C
6. Intersect(d, xAxis, 2) → D
7. Rotate(D, (360°) / n, B) → D'
8. Rotate(C, α, A) → C'
9. Polygon(D, D', n) → poly2, j_1, t_1, a_1, b_1, c_1, d_1, e_1, f_2, g_2, h_2, i_2, k_1, j_2, m_3, p_3, r_3, s_3, t_3, d_3, e_3, f_4, g_4, l_1, l_4, W, Z, A_1, B_1, C_1, D_1, E_1, F_1, G_1, m_1, H_1, I_1, J_1, K_1, L_1, M_1, N_1, O_1, P_1, U_1, n_1, W_1, A_2, B_2, C_2, G_2, H_2, I_2, J_2, O_2, p_1, q_1, r_1, s_1
10. Rotate(C', (360°) / n, A) → C''
11. Polygon(C', C'', n) → poly1, f, q, r, s, t, a, b, e, f_1, g_1, h_1, g, i_1, n_3, q_3, a_3, b_3, c_3, h_4, i_4, j_4, k_4, h, m_4, E, F, G, H, I, J, K, L, M, i, N, O, R, S, T, U, V, Q_1, R_1, V_1, j, Z_1, D_2, E_2, F_2, K_2, L_2, M_2, N_2, P_2, k, l, m, p
12. Point(zAxis) → P
13. OrthogonalPlane(P, zAxis) → p_2
14. Mirror(poly1, p_2) → poly1'
15. Mirror(E, p_2) → E'
16. Mirror(c, p_2) → c'
17. Mirror(C', p_2) → C''_1
18. Mirror(C'', p_2) → C'''
19. Mirror(F, p_2) → F'
20. Mirror(G, p_2) → G'
21. Mirror(H, p_2) → H'
22. Mirror(I, p_2) → I'
23. Mirror(J, p_2) → J'
24. Mirror(K, p_2) → K'
25. Mirror(L, p_2) → L'
26. Mirror(M, p_2) → M'
27. Mirror(N, p_2) → N'
28. Mirror(O, p_2) → O'
29. Mirror(R, p_2) → R'
30. Mirror(S, p_2) → S'
31. Mirror(T, p_2) → T'
32. Mirror(U, p_2) → U'
33. Mirror(V, p_2) → V'
34. Mirror(Q_1, p_2) → S_1
35. Mirror(R_1, p_2) → T_1
36. Segment(C''', D') → k_2
37. Segment(C''_1, D) → l_2
38. Segment(E', W) → m_2
39. Segment(F', Z) → n_2
40. Segment(G', A_1) → r_2
41. Segment(H', B_1) → s_2
42. Segment(I', C_1) → t_2
43. Segment(J', D_1) → a_2
44. Segment(K', E_1) → b_2
45. Segment(L', F_1) → c_2
46. Segment(M', G_1) → q_2
47. Segment(N', H_1) → d_2
48. Segment(O', I_1) → e_2
49. Segment(R', J_1) → f_3
50. Segment(S', K_1) → g_3
51. Segment(T', L_1) → h_3
52. Segment(U', M_1) → i_3
53. Segment(V', N_1) → j_3
54. Segment(S_1, O_1) → k_3
55. Segment(T_1, P_1) → l_3