正多边形的对称性 - 旋转变换

GeoGebra 命令及参数

1. Polygon(A, B, 3) → poly1, a, b, c, C
2. Polygon(D, E, 4) → poly2, d, e, f, g, F, G
3. Polygon(H, I, 5) → poly3, h, i, j, k, l, J, K, L
4. Polygon(M, N, 6) → poly4, m, R, n, p, q, r, s, O, P, Q
5. Polygon(S, T, 8) → poly5, t, V, W, Z, A_1, B_1, a_1, b_1, c_1, d_1, e_1, f_1, g_1, U
6. Polygon(C_1, D_1, 9) → poly6, h_1, E_1, F_1, G_1, H_1, I_1, J_1, K_1, i_1, j_1, k_1, l_1, m_1, n_1, p_1, q_1
7. Midpoint(A, C) → L_1
8. Midpoint(B, A) → M_1
9. Segment(L_1, B) → r_1
10. Segment(C, M_1) → s_1
11. Intersect(r_1, s_1) → N_1
12. Midpoint(C, B) → O_1
13. Segment(O_1, A) → t_1
14. Segment(E, G) → a_2
15. Segment(D, F) → b_2
16. Intersect(a_2, b_2) → P_1
17. Midpoint(I, H) → Q_1
18. Midpoint(H, L) → R_1
19. Midpoint(L, K) → S_1
20. Segment(K, Q_1) → c_2
21. Segment(I, S_1) → d_2
22. Intersect(c_2, d_2) → T_1
23. Segment(M, P) → e_2
24. Segment(Q, N) → f_2
25. Intersect(e_2, f_2) → U_1
26. Segment(B_1, V) → g_2
27. Segment(A_1, U) → h_2
28. Intersect(g_2, h_2) → V_1
29. Midpoint(H_1, G_1) → W_1
30. Midpoint(G_1, F_1) → Z_1
31. Segment(C_1, W_1) → i_2
32. Segment(K_1, Z_1) → j_2
33. Midpoint(I_1, H_1) → A_2
34. Segment(D_1, A_2) → k_2
35. Intersect(i_2, j_2) → B_2