正多边形的旋转对称与反射对称

GeoGebra 命令及参数

1. Polygon(A, B, 12) → poly1, f, p, q, r, C, D, E, F, G, H, I, g, J, K, L, h, i, j, k, l, m, n
2. Midpoint(A, B) → M
3. OrthogonalLine(M, f) → s
4. Midpoint(E, D) → N
5. OrthogonalLine(N, i) → t
6. Intersect(s, t) → O
7. Line(F, L) → a
8. Rotate(A, (-α), O) → A'
9. Rotate(B, (-α), O) → B'
10. Polygon(A', B', 12) → poly2, b, k_1, l_1, m_1, P, Q, R, S, T, U, V, c, W, Z, A_1, d, e, f_1, g_1, h_1, i_1, j_1
11. Polygon(B_1, C_1, 9) → poly3, n_1, D_1, E_1, F_1, G_1, H_1, I_1, J_1, p_1, q_1, r_1, s_1, t_1, a_1, b_1, c_1
12. OrthogonalLine(G_1, n_1) → d_1
13. OrthogonalLine(F_1, c_1) → e_1
14. Intersect(d_1, e_1) → K_1
15. Rotate(B_1, (-β), K_1) → L_1
16. Rotate(C_1, (-β), K_1) → M_1
17. Polygon(L_1, M_1, 9) → poly4, f_2, N_1, O_1, P_1, Q_1, R_1, S_1, T_1, g_2, h_2, i_2, j_2, k_2, l_2, m_2, n_2
18. Polygon(U_1, V_1, 10) → poly5, p_2, e_2, W_1, Z_1, A_2, B_2, C_2, D_2, E_2, F_2, q_2, r_2, s_2, t_2, a_2, b_2, c_2, d_2