烛台几何：三维向量与线性方程构建的对称立体

GeoGebra 命令及参数

1. Line(A, B) → f
2. Segment(C, D) → g
3. Segment(E, C) → h
4. Line(F, G) → i
5. CurveCartesian((0.25 * sin(t)), (0.25 * cos(t)), 2, t, 0, (2 * π)) → b
6. CircumcircleArc(I, O, J) → c
7. CircumcircleArc(K, M, L) → d
8. CircumcircleArc(N, Q, P) → e
9. Segment((0, 0, 3.5), (0, 0, 2)) → j
10. CircumcircleArc(S, R, T) → k
11. Segment(P, (-3, 0, 8)) → l
12. Segment(S, (1.5, 0, 8)) → m
13. Segment(T, (-1.5, 0, 8)) → n
14. Segment(L, (-2.5, 0, 8)) → p
15. Segment(J, (-2, 0, 8)) → q
16. Segment(I, (2, 0, 8)) → r
17. Segment(K, (2.5, 0, 8)) → s
18. Segment(N, (3, 0, 8)) → t
19. Polygon(H_1, G_1, F_1) → t1, f_1, h_1, g_1
20. Polygon(J_1, I_1, E_1) → t2, e_1, j_1, i_1
21. Segment((0, 0, 5.5), (0, 0, 8.1)) → k_1
22. Polygon(M_1, L_1, N_1) → t3, n_1, m_1, l_1
23. Polygon(Q_1, P_1, O_1) → t4, o_1, q_1, p_1
24. Polygon(T_1, S_1, R_1) → t5, r_1, t_1, s_1
25. Polygon(U_1, W_1, V_1) → t6, v_1, u_1, w_1
26. Polygon(B_2, A_2, Z_1) → t7, z_1, b_2, a_2
27. Polygon(D_2, C_2, E_2) → t8, e_2, d_2, c_2
28. Polygon(H_2, G_2, F_2) → t9, f_2, h_2, g_2
29. Polygon(K_2, J_2, I_2) → t10, i_2, k_2, j_2
30. Polygon(N_2, M_2, L_2) → t11, l_2, n_2, m_2
31. Surface(g, (2 * π), f) → a
32. Surface(h, (2 * π), f) → u