凯利多镜中的轴对称图案
几何画板及绘图内容加载中,请稍等……
这个范例展示了凯利多镜中轴对称图案的形成过程,通过反射和旋转将基本图形重复排列生成精美的对称花纹。核心数学概念包括轴对称、反射变换、旋转、圆弧与圆的构造。GeoGebra 中使用了 CircumcircleArc、Line、Mirror、Rotate 等命令,构建了多个点 A_i、C_i 和圆 o 等对象。适合高中几何教学,尤其用于讲解对称变换与平面图案设计。
GeoGebra 命令及参数
CircumcircleArc(A_7, C_8, B_5) → c_5Line(A_7, B_5) → a_5Mirror(A_7, a_5) → A'_{15}Mirror(C_8, a_5) → C'_{15}Mirror(B_5, a_5) → B'_{15}CircumcircleArc(A'_{15}, C'_{15}, B'_{15}) → c'_{15}Rotate(A'_{15}, 72*°, B_5) → A''_{10}Rotate(C'_{15}, 72*°, B_5) → C''_{10}Rotate(B'_{15}, 72*°, B_5) → B''_{10}CircumcircleArc(A''_{10}, C''_{10}, B''_{10}) → c''_{10}Rotate(A_7, 72*°, B_5) → A'_{16}Rotate(C_8, 72*°, B_5) → C'_{16}Rotate(B_5, 72*°, B_5) → B'_{16}CircumcircleArc(A'_{16}, C'_{16}, B'_{16}) → c'_{16}Rotate(A_7, 288*°, B_5) → A'_{17}Rotate(C_8, 288*°, B_5) → C'_{17}Rotate(B_5, 288*°, B_5) → B'_{17}CircumcircleArc(A'_{17}, C'_{17}, B'_{17}) → c'_{17}Rotate(A'_{15}, 288*°, B_5) → A''_{11}Rotate(C'_{15}, 288*°, B_5) → C''_{11}Rotate(B'_{15}, 288*°, B_5) → B''_{11}CircumcircleArc(A''_{11}, C''_{11}, B''_{11}) → c''_{11}Rotate(A'_{17}, 288*°, B_5) → D_5Rotate(C'_{17}, 288*°, B_5) → E_5Rotate(B'_{17}, 288*°, B_5) → F_5CircumcircleArc(D_5, E_5, F_5) → d_5Rotate(A''_{11}, 288*°, B_5) → G_5Rotate(C''_{11}, 288*°, B_5) → H_5Rotate(B''_{11}, 288*°, B_5) → I_5CircumcircleArc(G_5, H_5, I_5) → e_5Rotate(D_5, 288*°, B_5) → D'_5Rotate(E_5, 288*°, B_5) → E'_5Rotate(F_5, 288*°, B_5) → F'_5CircumcircleArc(D'_5, E'_5, F'_5) → d'_5Rotate(G_5, 288*°, B_5) → G'_5Rotate(H_5, 288*°, B_5) → H'_5Rotate(I_5, 288*°, B_5) → I'_5CircumcircleArc(G'_5, H'_5, I'_5) → e'_5CircumcircleArc(A_8, C_9, B_2) → c_2Line(A_8, B_2) → a_2Mirror(A_8, a_2) → A'_6Mirror(C_9, a_2) → C'_6Mirror(B_2, a_2) → B'_6CircumcircleArc(A'_6, C'_6, B'_6) → c'_6Rotate(A'_6, 72*°, B_2) → A''_4Rotate(C'_6, 72*°, B_2) → C''_4Rotate(B'_6, 72*°, B_2) → B''_4CircumcircleArc(A''_4, C''_4, B''_4) → c''_4Rotate(A_8, 72*°, B_2) → A'_7Rotate(C_9, 72*°, B_2) → C'_7Rotate(B_2, 72*°, B_2) → B'_7CircumcircleArc(A'_7, C'_7, B'_7) → c'_7Rotate(A_8, 288*°, B_2) → A'_8Rotate(C_9, 288*°, B_2) → C'_8Rotate(B_2, 288*°, B_2) → B'_8CircumcircleArc(A'_8, C'_8, B'_8) → c'_8Rotate(A'_6, 288*°, B_2) → A''_5Rotate(C'_6, 288*°, B_2) → C''_5Rotate(B'_6, 288*°, B_2) → B''_5CircumcircleArc(A''_5, C''_5, B''_5) → c''_5Rotate(A'_8, 288*°, B_2) → D_2Rotate(C'_8, 288*°, B_2) → E_2Rotate(B'_8, 288*°, B_2) → F_2CircumcircleArc(D_2, E_2, F_2) → d_2Rotate(A''_5, 288*°, B_2) → G_2Rotate(C''_5, 288*°, B_2) → H_2Rotate(B''_5, 288*°, B_2) → I_2CircumcircleArc(G_2, H_2, I_2) → e_2Rotate(D_2, 288*°, B_2) → D'_2Rotate(E_2, 288*°, B_2) → E'_2Rotate(F_2, 288*°, B_2) → F'_2CircumcircleArc(D'_2, E'_2, F'_2) → d'_2Rotate(G_2, 288*°, B_2) → G'_2Rotate(H_2, 288*°, B_2) → H'_2Rotate(I_2, 288*°, B_2) → I'_2CircumcircleArc(G'_2, H'_2, I'_2) → e'_2CircumcircleArc(A_9, C_{10}, B_3) → c_3Line(A_9, B_3) → a_3Mirror(A_9, a_3) → A'_9Mirror(C_{10}, a_3) → C'_9Mirror(B_3, a_3) → B'_9CircumcircleArc(A'_9, C'_9, B'_9) → c'_9Rotate(A'_9, 72*°, B_3) → A''_6Rotate(C'_9, 72*°, B_3) → C''_6Rotate(B'_9, 72*°, B_3) → B''_6CircumcircleArc(A''_6, C''_6, B''_6) → c''_6Rotate(A_9, 72*°, B_3) → A'_{10}Rotate(C_{10}, 72*°, B_3) → C'_{10}Rotate(B_3, 72*°, B_3) → B'_{10}CircumcircleArc(A'_{10}, C'_{10}, B'_{10}) → c'_{10}Rotate(A_9, 288*°, B_3) → A'_{11}Rotate(C_{10}, 288*°, B_3) → C'_{11}Rotate(B_3, 288*°, B_3) → B'_{11}CircumcircleArc(A'_{11}, C'_{11}, B'_{11}) → c'_{11}Rotate(A'_9, 288*°, B_3) → A''_7Rotate(C'_9, 288*°, B_3) → C''_7Rotate(B'_9, 288*°, B_3) → B''_7CircumcircleArc(A''_7, C''_7, B''_7) → c''_7Rotate(A'_{11}, 288*°, B_3) → D_3Rotate(C'_{11}, 288*°, B_3) → E_3Rotate(B'_{11}, 288*°, B_3) → F_3CircumcircleArc(D_3, E_3, F_3) → d_3Rotate(A''_7, 288*°, B_3) → G_3Rotate(C''_7, 288*°, B_3) → H_3Rotate(B''_7, 288*°, B_3) → I_3CircumcircleArc(G_3, H_3, I_3) → e_3Rotate(D_3, 288*°, B_3) → D'_3Rotate(E_3, 288*°, B_3) → E'_3Rotate(F_3, 288*°, B_3) → F'_3CircumcircleArc(D'_3, E'_3, F'_3) → d'_3Rotate(G_3, 288*°, B_3) → G'_3Rotate(H_3, 288*°, B_3) → H'_3Rotate(I_3, 288*°, B_3) → I'_3CircumcircleArc(G'_3, H'_3, I'_3) → e'_3CircumcircleArc(A_{10}, C_{11}, B_6) → c_6Line(A_{10}, B_6) → a_6Mirror(A_{10}, a_6) → A'_1Mirror(C_{11}, a_6) → C'_1Mirror(B_6, a_6) → B'_1CircumcircleArc(A'_1, C'_1, B'_1) → c'_1Rotate(A'_1, 72*°, B_6) → A''_1Rotate(C'_1, 72*°, B_6) → C''_1Rotate(B'_1, 72*°, B_6) → B''_1CircumcircleArc(A''_1, C''_1, B''_1) → c''_1Rotate(A_{10}, 72*°, B_6) → A'_2Rotate(C_{11}, 72*°, B_6) → C'_2Rotate(B_6, 72*°, B_6) → B'_2CircumcircleArc(A'_2, C'_2, B'_2) → c'_2Rotate(A_{10}, 288*°, B_6) → A'_{18}Rotate(C_{11}, 288*°, B_6) → C'_{18}Rotate(B_6, 288*°, B_6) → B'_{18}CircumcircleArc(A'_{18}, C'_{18}, B'_{18}) → c'_{18}Rotate(A'_1, 288*°, B_6) → A''_{12}Rotate(C'_1, 288*°, B_6) → C''_{12}Rotate(B'_1, 288*°, B_6) → B''_{12}CircumcircleArc(A''_{12}, C''_{12}, B''_{12}) → c''_{12}Rotate(A'_{18}, 288*°, B_6) → D_6Rotate(C'_{18}, 288*°, B_6) → E_6Rotate(B'_{18}, 288*°, B_6) → F_6CircumcircleArc(D_6, E_6, F_6) → d_6Rotate(A''_{12}, 288*°, B_6) → G_6Rotate(C''_{12}, 288*°, B_6) → H_6Rotate(B''_{12}, 288*°, B_6) → I_6CircumcircleArc(G_6, H_6, I_6) → e_6Rotate(D_6, 288*°, B_6) → D'_6Rotate(E_6, 288*°, B_6) → E'_6Rotate(F_6, 288*°, B_6) → F'_6CircumcircleArc(D'_6, E'_6, F'_6) → d'_6Rotate(G_6, 288*°, B_6) → G'_6Rotate(H_6, 288*°, B_6) → H'_6Rotate(I_6, 288*°, B_6) → I'_6CircumcircleArc(G'_6, H'_6, I'_6) → e'_6CircumcircleArc(A_{11}, C_{12}, B_1) → c_1Line(A_{11}, B_1) → a_1Mirror(A_{11}, a_1) → A'_3Mirror(C_{12}, a_1) → C'_3Mirror(B_1, a_1) → B'_3CircumcircleArc(A'_3, C'_3, B'_3) → c'_3Rotate(A'_3, 72*°, B_1) → A''_2Rotate(C'_3, 72*°, B_1) → C''_2Rotate(B'_3, 72*°, B_1) → B''_2CircumcircleArc(A''_2, C''_2, B''_2) → c''_2Rotate(A_{11}, 72*°, B_1) → A'_4Rotate(C_{12}, 72*°, B_1) → C'_4Rotate(B_1, 72*°, B_1) → B'_4CircumcircleArc(A'_4, C'_4, B'_4) → c'_4Rotate(A_{11}, 288*°, B_1) → A'_5Rotate(C_{12}, 288*°, B_1) → C'_5Rotate(B_1, 288*°, B_1) → B'_5CircumcircleArc(A'_5, C'_5, B'_5) → c'_5Rotate(A'_3, 288*°, B_1) → A''_3Rotate(C'_3, 288*°, B_1) → C''_3Rotate(B'_3, 288*°, B_1) → B''_3CircumcircleArc(A''_3, C''_3, B''_3) → c''_3Rotate(A'_5, 288*°, B_1) → D_1Rotate(C'_5, 288*°, B_1) → E_1Rotate(B'_5, 288*°, B_1) → F_1CircumcircleArc(D_1, E_1, F_1) → d_1Rotate(A''_3, 288*°, B_1) → G_1Rotate(C''_3, 288*°, B_1) → H_1Rotate(B''_3, 288*°, B_1) → I_1CircumcircleArc(G_1, H_1, I_1) → e_1Rotate(D_1, 288*°, B_1) → D'_1Rotate(E_1, 288*°, B_1) → E'_1Rotate(F_1, 288*°, B_1) → F'_1CircumcircleArc(D'_1, E'_1, F'_1) → d'_1Rotate(G_1, 288*°, B_1) → G'_1Rotate(H_1, 288*°, B_1) → H'_1Rotate(I_1, 288*°, B_1) → I'_1CircumcircleArc(G'_1, H'_1, I'_1) → e'_1Line(B, D) → aMirror(A_7, a) → EMirror(C_8, a) → FMirror(B_5, a) → GCircumcircleArc(E, F, G) → cMirror(A'_{15}, a) → HMirror(C'_{15}, a) → IMirror(B'_{15}, a) → JCircumcircleArc(H, I, J) → dMirror(A''_{10}, a) → KMirror(C''_{10}, a) → LMirror(B''_{10}, a) → MCircumcircleArc(K, L, M) → eMirror(A'_{16}, a) → NMirror(C'_{16}, a) → OMirror(B'_{16}, a) → PCircumcircleArc(N, O, P) → fMirror(A'_{17}, a) → QMirror(C'_{17}, a) → RMirror(B'_{17}, a) → SCircumcircleArc(Q, R, S) → gMirror(A''_{11}, a) → TMirror(C''_{11}, a) → UMirror(B''_{11}, a) → VCircumcircleArc(T, U, V) → hMirror(D_5, a) → WMirror(E_5, a) → ZMirror(F_5, a) → J_1CircumcircleArc(W, Z, J_1) → kMirror(G_5, a) → K_1Mirror(H_5, a) → L_1Mirror(I_5, a) → M_1CircumcircleArc(K_1, L_1, M_1) → rMirror(D'_5, a) → N_1Mirror(E'_5, a) → O_1Mirror(F'_5, a) → P_1CircumcircleArc(N_1, O_1, P_1) → sMirror(G'_5, a) → Q_1Mirror(H'_5, a) → R_1Mirror(I'_5, a) → S_1CircumcircleArc(Q_1, R_1, S_1) → tMirror(A_8, a) → T_1Mirror(C_9, a) → U_1Mirror(B_2, a) → V_1CircumcircleArc(T_1, U_1, V_1) → f_1Mirror(A'_6, a) → W_1Mirror(C'_6, a) → Z_1Mirror(B'_6, a) → J_2CircumcircleArc(W_1, Z_1, J_2) → g_1Mirror(A''_4, a) → K_2Mirror(C''_4, a) → L_2Mirror(B''_4, a) → M_2CircumcircleArc(K_2, L_2, M_2) → h_1Mirror(A'_7, a) → N_2Mirror(C'_7, a) → O_2Mirror(B'_7, a) → P_2CircumcircleArc(N_2, O_2, P_2) → k_1Mirror(A'_8, a) → Q_2Mirror(C'_8, a) → R_2Mirror(B'_8, a) → S_2CircumcircleArc(Q_2, R_2, S_2) → p_1Mirror(A''_5, a) → T_2Mirror(C''_5, a) → U_2Mirror(B''_5, a) → V_2CircumcircleArc(T_2, U_2, V_2) → q_1Mirror(D_2, a) → W_2Mirror(E_2, a) → Z_2Mirror(F_2, a) → J_3CircumcircleArc(W_2, Z_2, J_3) → r_1Mirror(G_2, a) → K_3Mirror(H_2, a) → L_3Mirror(I_2, a) → M_3CircumcircleArc(K_3, L_3, M_3) → s_1Mirror(D'_2, a) → N_3Mirror(E'_2, a) → O_3Mirror(F'_2, a) → P_3CircumcircleArc(N_3, O_3, P_3) → t_1Mirror(G'_2, a) → Q_3Mirror(H'_2, a) → R_3Mirror(I'_2, a) → S_3CircumcircleArc(Q_3, R_3, S_3) → f_2Mirror(A_9, a) → T_3Mirror(C_{10}, a) → U_3Mirror(B_3, a) → V_3CircumcircleArc(T_3, U_3, V_3) → g_2Mirror(A'_9, a) → W_3Mirror(C'_9, a) → Z_3Mirror(B'_9, a) → B_4CircumcircleArc(W_3, Z_3, B_4) → h_2Mirror(A''_6, a) → D_4Mirror(C''_6, a) → E_4Mirror(B''_6, a) → F_4CircumcircleArc(D_4, E_4, F_4) → k_2Mirror(A'_{10}, a) → G_4Mirror(C'_{10}, a) → H_4Mirror(B'_{10}, a) → I_4CircumcircleArc(G_4, H_4, I_4) → p_2Mirror(A'_{11}, a) → J_4Mirror(C'_{11}, a) → K_4Mirror(B'_{11}, a) → L_4CircumcircleArc(J_4, K_4, L_4) → q_2Mirror(A''_7, a) → M_4Mirror(C''_7, a) → N_4Mirror(B''_7, a) → O_4CircumcircleArc(M_4, N_4, O_4) → r_2Mirror(D_3, a) → P_4Mirror(E_3, a) → Q_4Mirror(F_3, a) → R_4CircumcircleArc(P_4, Q_4, R_4) → s_2Mirror(G_3, a) → S_4Mirror(H_3, a) → T_4Mirror(I_3, a) → U_4CircumcircleArc(S_4, T_4, U_4) → t_2Mirror(D'_3, a) → V_4Mirror(E'_3, a) → W_4Mirror(F'_3, a) → Z_4CircumcircleArc(V_4, W_4, Z_4) → f_3Mirror(G'_3, a) → J_5Mirror(H'_3, a) → K_5Mirror(I'_3, a) → L_5CircumcircleArc(J_5, K_5, L_5) → g_3Mirror(A_{10}, a) → M_5Mirror(C_{11}, a) → N_5Mirror(B_6, a) → O_5CircumcircleArc(M_5, N_5, O_5) → h_3Mirror(A'_1, a) → P_5Mirror(C'_1, a) → Q_5Mirror(B'_1, a) → R_5CircumcircleArc(P_5, Q_5, R_5) → k_3Mirror(A''_1, a) → S_5Mirror(C''_1, a) → T_5Mirror(B''_1, a) → U_5CircumcircleArc(S_5, T_5, U_5) → p_3Mirror(A'_2, a) → V_5Mirror(C'_2, a) → W_5Mirror(B'_2, a) → Z_5CircumcircleArc(V_5, W_5, Z_5) → q_3Mirror(A'_{18}, a) → J_6Mirror(C'_{18}, a) → K_6Mirror(B'_{18}, a) → L_6CircumcircleArc(J_6, K_6, L_6) → r_3Mirror(A''_{12}, a) → M_6Mirror(C''_{12}, a) → N_6Mirror(B''_{12}, a) → O_6CircumcircleArc(M_6, N_6, O_6) → s_3Mirror(D_6, a) → P_6Mirror(E_6, a) → Q_6Mirror(F_6, a) → R_6CircumcircleArc(P_6, Q_6, R_6) → t_3Mirror(G_6, a) → S_6Mirror(H_6, a) → T_6Mirror(I_6, a) → U_6CircumcircleArc(S_6, T_6, U_6) → c_4Mirror(D'_6, a) → V_6Mirror(E'_6, a) → W_6Mirror(F'_6, a) → Z_6CircumcircleArc(V_6, W_6, Z_6) → d_4Mirror(G'_6, a) → B_7Mirror(H'_6, a) → D_7Mirror(I'_6, a) → E_7CircumcircleArc(B_7, D_7, E_7) → e_4Mirror(A_{11}, a) → F_7Mirror(C_{12}, a) → G_7Mirror(B_1, a) → H_7CircumcircleArc(F_7, G_7, H_7) → f_4Mirror(A'_3, a) → I_7Mirror(C'_3, a) → J_7Mirror(B'_3, a) → K_7CircumcircleArc(I_7, J_7, K_7) → g_4Mirror(A''_2, a) → L_7Mirror(C''_2, a) → M_7Mirror(B''_2, a) → N_7CircumcircleArc(L_7, M_7, N_7) → h_4Mirror(A'_4, a) → O_7Mirror(C'_4, a) → P_7Mirror(B'_4, a) → Q_7CircumcircleArc(O_7, P_7, Q_7) → k_4Mirror(A'_5, a) → R_7Mirror(C'_5, a) → S_7Mirror(B'_5, a) → T_7CircumcircleArc(R_7, S_7, T_7) → p_4Mirror(A''_3, a) → U_7Mirror(C''_3, a) → V_7Mirror(B''_3, a) → W_7CircumcircleArc(U_7, V_7, W_7) → q_4Mirror(D_1, a) → Z_7Mirror(E_1, a) → B_8Mirror(F_1, a) → D_8CircumcircleArc(Z_7, B_8, D_8) → r_4Mirror(G_1, a) → E_8Mirror(H_1, a) → F_8Mirror(I_1, a) → G_8CircumcircleArc(E_8, F_8, G_8) → s_4Mirror(D'_1, a) → H_8Mirror(E'_1, a) → I_8Mirror(F'_1, a) → J_8CircumcircleArc(H_8, I_8, J_8) → t_4Mirror(G'_1, a) → K_8Mirror(H'_1, a) → L_8Mirror(I'_1, a) → M_8CircumcircleArc(K_8, L_8, M_8) → f_5Line(N_8, O_8) → bMirror(A_7, b) → P_8Mirror(C_8, b) → Q_8Mirror(B_5, b) → R_8CircumcircleArc(P_8, Q_8, R_8) → g_5Mirror(A'_{15}, b) → S_8Mirror(C'_{15}, b) → T_8Mirror(B'_{15}, b) → U_8CircumcircleArc(S_8, T_8, U_8) → h_5Mirror(A''_{10}, b) → V_8Mirror(C''_{10}, b) → W_8Mirror(B''_{10}, b) → Z_8CircumcircleArc(V_8, W_8, Z_8) → k_5Mirror(A'_{16}, b) → B_9Mirror(C'_{16}, b) → D_9Mirror(B'_{16}, b) → E_9CircumcircleArc(B_9, D_9, E_9) → p_5Mirror(A'_{17}, b) → F_9Mirror(C'_{17}, b) → G_9Mirror(B'_{17}, b) → H_9CircumcircleArc(F_9, G_9, H_9) → q_5Mirror(A''_{11}, b) → I_9Mirror(C''_{11}, b) → J_9Mirror(B''_{11}, b) → K_9CircumcircleArc(I_9, J_9, K_9) → r_5Mirror(D_5, b) → L_9Mirror(E_5, b) → M_9Mirror(F_5, b) → N_9CircumcircleArc(L_9, M_9, N_9) → s_5Mirror(G_5, b) → O_9Mirror(H_5, b) → P_9Mirror(I_5, b) → Q_9CircumcircleArc(O_9, P_9, Q_9) → t_5Mirror(D'_5, b) → R_9Mirror(E'_5, b) → S_9Mirror(F'_5, b) → T_9CircumcircleArc(R_9, S_9, T_9) → f_6Mirror(G'_5, b) → U_9Mirror(H'_5, b) → V_9Mirror(I'_5, b) → W_9CircumcircleArc(U_9, V_9, W_9) → g_6Mirror(A_8, b) → Z_9Mirror(C_9, b) → B_{10}Mirror(B_2, b) → D_{10}CircumcircleArc(Z_9, B_{10}, D_{10}) → h_6Mirror(A'_6, b) → E_{10}Mirror(C'_6, b) → F_{10}Mirror(B'_6, b) → G_{10}CircumcircleArc(E_{10}, F_{10}, G_{10}) → k_6Mirror(A''_4, b) → H_{10}Mirror(C''_4, b) → I_{10}Mirror(B''_4, b) → J_{10}CircumcircleArc(H_{10}, I_{10}, J_{10}) → p_6Mirror(A'_7, b) → K_{10}Mirror(C'_7, b) → L_{10}Mirror(B'_7, b) → M_{10}CircumcircleArc(K_{10}, L_{10}, M_{10}) → q_6Mirror(A'_8, b) → N_{10}Mirror(C'_8, b) → O_{10}Mirror(B'_8, b) → P_{10}CircumcircleArc(N_{10}, O_{10}, P_{10}) → r_6Mirror(A''_5, b) → Q_{10}Mirror(C''_5, b) → R_{10}Mirror(B''_5, b) → S_{10}CircumcircleArc(Q_{10}, R_{10}, S_{10}) → s_6Mirror(D_2, b) → T_{10}Mirror(E_2, b) → U_{10}Mirror(F_2, b) → V_{10}CircumcircleArc(T_{10}, U_{10}, V_{10}) → t_6Mirror(G_2, b) → W_{10}Mirror(H_2, b) → Z_{10}Mirror(I_2, b) → B_{11}CircumcircleArc(W_{10}, Z_{10}, B_{11}) → c_7Mirror(D'_2, b) → D_{11}Mirror(E'_2, b) → E_{11}Mirror(F'_2, b) → F_{11}CircumcircleArc(D_{11}, E_{11}, F_{11}) → d_7Mirror(G'_2, b) → G_{11}Mirror(H'_2, b) → H_{11}Mirror(I'_2, b) → I_{11}CircumcircleArc(G_{11}, H_{11}, I_{11}) → e_7Mirror(A_9, b) → J_{11}Mirror(C_{10}, b) → K_{11}Mirror(B_3, b) → L_{11}CircumcircleArc(J_{11}, K_{11}, L_{11}) → f_7Mirror(A'_9, b) → M_{11}Mirror(C'_9, b) → N_{11}Mirror(B'_9, b) → O_{11}CircumcircleArc(M_{11}, N_{11}, O_{11}) → g_7Mirror(A''_6, b) → P_{11}Mirror(C''_6, b) → Q_{11}Mirror(B''_6, b) → R_{11}CircumcircleArc(P_{11}, Q_{11}, R_{11}) → h_7Mirror(A'_{10}, b) → S_{11}Mirror(C'_{10}, b) → T_{11}Mirror(B'_{10}, b) → U_{11}CircumcircleArc(S_{11}, T_{11}, U_{11}) → k_7Mirror(A'_{11}, b) → V_{11}Mirror(C'_{11}, b) → W_{11}Mirror(B'_{11}, b) → Z_{11}CircumcircleArc(V_{11}, W_{11}, Z_{11}) → p_7Mirror(A''_7, b) → B_{12}Mirror(C''_7, b) → D_{12}Mirror(B''_7, b) → E_{12}CircumcircleArc(B_{12}, D_{12}, E_{12}) → q_7Mirror(D_3, b) → F_{12}Mirror(E_3, b) → G_{12}Mirror(F_3, b) → H_{12}CircumcircleArc(F_{12}, G_{12}, H_{12}) → r_7Mirror(G_3, b) → I_{12}Mirror(H_3, b) → J_{12}Mirror(I_3, b) → K_{12}CircumcircleArc(I_{12}, J_{12}, K_{12}) → s_7Mirror(D'_3, b) → L_{12}Mirror(E'_3, b) → M_{12}Mirror(F'_3, b) → N_{12}CircumcircleArc(L_{12}, M_{12}, N_{12}) → t_7Mirror(G'_3, b) → O_{12}Mirror(H'_3, b) → P_{12}Mirror(I'_3, b) → Q_{12}CircumcircleArc(O_{12}, P_{12}, Q_{12}) → c_8Mirror(A_{10}, b) → R_{12}Mirror(C_{11}, b) → S_{12}Mirror(B_6, b) → T_{12}CircumcircleArc(R_{12}, S_{12}, T_{12}) → d_8Mirror(A'_1, b) → U_{12}Mirror(C'_1, b) → V_{12}Mirror(B'_1, b) → W_{12}CircumcircleArc(U_{12}, V_{12}, W_{12}) → e_8Mirror(A''_1, b) → Z_{12}Mirror(C''_1, b) → B_{13}Mirror(B''_1, b) → D_{13}CircumcircleArc(Z_{12}, B_{13}, D_{13}) → f_8Mirror(A'_2, b) → E_{13}Mirror(C'_2, b) → F_{13}Mirror(B'_2, b) → G_{13}CircumcircleArc(E_{13}, F_{13}, G_{13}) → g_8Mirror(A'_{18}, b) → H_{13}Mirror(C'_{18}, b) → I_{13}Mirror(B'_{18}, b) → J_{13}CircumcircleArc(H_{13}, I_{13}, J_{13}) → h_8Mirror(A''_{12}, b) → K_{13}Mirror(C''_{12}, b) → L_{13}Mirror(B''_{12}, b) → M_{13}CircumcircleArc(K_{13}, L_{13}, M_{13}) → k_8Mirror(D_6, b) → N_{13}Mirror(E_6, b) → O_{13}Mirror(F_6, b) → P_{13}CircumcircleArc(N_{13}, O_{13}, P_{13}) → p_8Mirror(G_6, b) → Q_{13}Mirror(H_6, b) → R_{13}Mirror(I_6, b) → S_{13}CircumcircleArc(Q_{13}, R_{13}, S_{13}) → q_8Mirror(D'_6, b) → T_{13}Mirror(E'_6, b) → U_{13}Mirror(F'_6, b) → V_{13}CircumcircleArc(T_{13}, U_{13}, V_{13}) → r_8Mirror(G'_6, b) → W_{13}Mirror(H'_6, b) → Z_{13}Mirror(I'_6, b) → B_{14}CircumcircleArc(W_{13}, Z_{13}, B_{14}) → s_8Mirror(A_{11}, b) → D_{14}Mirror(C_{12}, b) → E_{14}Mirror(B_1, b) → F_{14}CircumcircleArc(D_{14}, E_{14}, F_{14}) → t_8Mirror(A'_3, b) → G_{14}Mirror(C'_3, b) → H_{14}Mirror(B'_3, b) → I_{14}CircumcircleArc(G_{14}, H_{14}, I_{14}) → c_9Mirror(A''_2, b) → J_{14}Mirror(C''_2, b) → K_{14}Mirror(B''_2, b) → L_{14}CircumcircleArc(J_{14}, K_{14}, L_{14}) → d_9Mirror(A'_4, b) → M_{14}Mirror(C'_4, b) → N_{14}Mirror(B'_4, b) → O_{14}CircumcircleArc(M_{14}, N_{14}, O_{14}) → e_9Mirror(A'_5, b) → P_{14}Mirror(C'_5, b) → Q_{14}Mirror(B'_5, b) → R_{14}CircumcircleArc(P_{14}, Q_{14}, R_{14}) → f_9Mirror(A''_3, b) → S_{14}Mirror(C''_3, b) → T_{14}Mirror(B''_3, b) → U_{14}CircumcircleArc(S_{14}, T_{14}, U_{14}) → g_9Mirror(D_1, b) → V_{14}Mirror(E_1, b) → W_{14}Mirror(F_1, b) → Z_{14}CircumcircleArc(V_{14}, W_{14}, Z_{14}) → h_9Mirror(G_1, b) → B_{15}Mirror(H_1, b) → D_{15}Mirror(I_1, b) → E_{15}CircumcircleArc(B_{15}, D_{15}, E_{15}) → k_9Mirror(D'_1, b) → F_{15}Mirror(E'_1, b) → G_{15}Mirror(F'_1, b) → H_{15}CircumcircleArc(F_{15}, G_{15}, H_{15}) → p_9Mirror(G'_1, b) → I_{15}Mirror(H'_1, b) → J_{15}Mirror(I'_1, b) → K_{15}CircumcircleArc(I_{15}, J_{15}, K_{15}) → q_9Mirror(E, b) → E'Mirror(F, b) → F'Mirror(G, b) → G'CircumcircleArc(E', F', G') → c'Mirror(H, b) → H'Mirror(I, b) → I'Mirror(J, b) → J'CircumcircleArc(H', I', J') → d'Mirror(K, b) → K'Mirror(L, b) → L'Mirror(M, b) → M'CircumcircleArc(K', L', M') → e'Mirror(N, b) → N'Mirror(O, b) → O'Mirror(P, b) → P'CircumcircleArc(N', O', P') → f'Mirror(Q, b) → Q'Mirror(R, b) → R'Mirror(S, b) → S'CircumcircleArc(Q', R', S') → g'Mirror(T, b) → T'Mirror(U, b) → U'Mirror(V, b) → V'CircumcircleArc(T', U', V') → h'Mirror(W, b) → W'Mirror(Z, b) → Z'Mirror(J_1, b) → L_{15}CircumcircleArc(W', Z', L_{15}) → k'Mirror(K_1, b) → M_{15}Mirror(L_1, b) → N_{15}Mirror(M_1, b) → O_{15}CircumcircleArc(M_{15}, N_{15}, O_{15}) → r'Mirror(N_1, b) → P_{15}Mirror(O_1, b) → Q_{15}Mirror(P_1, b) → R_{15}CircumcircleArc(P_{15}, Q_{15}, R_{15}) → s'Mirror(Q_1, b) → S_{15}Mirror(R_1, b) → T_{15}Mirror(S_1, b) → U_{15}CircumcircleArc(S_{15}, T_{15}, U_{15}) → t'Mirror(T_1, b) → V_{15}Mirror(U_1, b) → W_{15}Mirror(V_1, b) → Z_{15}CircumcircleArc(V_{15}, W_{15}, Z_{15}) → r_9Mirror(W_1, b) → B_{16}Mirror(Z_1, b) → D_{16}Mirror(J_2, b) → E_{16}CircumcircleArc(B_{16}, D_{16}, E_{16}) → s_9Mirror(K_2, b) → F_{16}Mirror(L_2, b) → G_{16}Mirror(M_2, b) → H_{16}CircumcircleArc(F_{16}, G_{16}, H_{16}) → t_9Mirror(N_2, b) → I_{16}Mirror(O_2, b) → J_{16}Mirror(P_2, b) → K_{16}CircumcircleArc(I_{16}, J_{16}, K_{16}) → c_{10}Mirror(Q_2, b) → L_{16}Mirror(R_2, b) → M_{16}Mirror(S_2, b) → N_{16}CircumcircleArc(L_{16}, M_{16}, N_{16}) → d_{10}Mirror(T_2, b) → O_{16}Mirror(U_2, b) → P_{16}Mirror(V_2, b) → Q_{16}CircumcircleArc(O_{16}, P_{16}, Q_{16}) → e_{10}Mirror(W_2, b) → R_{16}Mirror(Z_2, b) → S_{16}Mirror(J_3, b) → T_{16}CircumcircleArc(R_{16}, S_{16}, T_{16}) → f_{10}Mirror(K_3, b) → U_{16}Mirror(L_3, b) → V_{16}Mirror(M_3, b) → W_{16}CircumcircleArc(U_{16}, V_{16}, W_{16}) → g_{10}Mirror(N_3, b) → Z_{16}Mirror(O_3, b) → A_{17}Mirror(P_3, b) → B_{17}CircumcircleArc(Z_{16}, A_{17}, B_{17}) → h_{10}Mirror(Q_3, b) → D_{17}Mirror(R_3, b) → E_{17}Mirror(S_3, b) → F_{17}CircumcircleArc(D_{17}, E_{17}, F_{17}) → k_{10}Mirror(T_3, b) → G_{17}Mirror(U_3, b) → H_{17}Mirror(V_3, b) → I_{17}CircumcircleArc(G_{17}, H_{17}, I_{17}) → p_{10}Mirror(W_3, b) → J_{17}Mirror(Z_3, b) → K_{17}Mirror(B_4, b) → L_{17}CircumcircleArc(J_{17}, K_{17}, L_{17}) → q_{10}Mirror(D_4, b) → M_{17}Mirror(E_4, b) → N_{17}Mirror(F_4, b) → O_{17}CircumcircleArc(M_{17}, N_{17}, O_{17}) → r_{10}Mirror(G_4, b) → P_{17}Mirror(H_4, b) → Q_{17}Mirror(I_4, b) → R_{17}CircumcircleArc(P_{17}, Q_{17}, R_{17}) → s_{10}Mirror(J_4, b) → S_{17}Mirror(K_4, b) → T_{17}Mirror(L_4, b) → U_{17}CircumcircleArc(S_{17}, T_{17}, U_{17}) → t_{10}Mirror(M_4, b) → V_{17}Mirror(N_4, b) → W_{17}Mirror(O_4, b) → Z_{17}CircumcircleArc(V_{17}, W_{17}, Z_{17}) → c_{11}Mirror(P_4, b) → A_{18}Mirror(Q_4, b) → B_{18}Mirror(R_4, b) → C_{18}CircumcircleArc(A_{18}, B_{18}, C_{18}) → d_{11}Mirror(S_4, b) → D_{18}Mirror(T_4, b) → E_{18}Mirror(U_4, b) → F_{18}CircumcircleArc(D_{18}, E_{18}, F_{18}) → e_{11}Mirror(V_4, b) → G_{18}Mirror(W_4, b) → H_{18}Mirror(Z_4, b) → I_{18}CircumcircleArc(G_{18}, H_{18}, I_{18}) → f_{11}Mirror(J_5, b) → J_{18}Mirror(K_5, b) → K_{18}Mirror(L_5, b) → L_{18}CircumcircleArc(J_{18}, K_{18}, L_{18}) → g_{11}Mirror(M_5, b) → M_{18}Mirror(N_5, b) → N_{18}Mirror(O_5, b) → O_{18}CircumcircleArc(M_{18}, N_{18}, O_{18}) → h_{11}Mirror(P_5, b) → P_{18}Mirror(Q_5, b) → Q_{18}Mirror(R_5, b) → R_{18}CircumcircleArc(P_{18}, Q_{18}, R_{18}) → k_{11}Mirror(S_5, b) → S_{18}Mirror(T_5, b) → T_{18}Mirror(U_5, b) → U_{18}CircumcircleArc(S_{18}, T_{18}, U_{18}) → p_{11}Mirror(V_5, b) → V_{18}Mirror(W_5, b) → W_{18}Mirror(Z_5, b) → Z_{18}CircumcircleArc(V_{18}, W_{18}, Z_{18}) → q_{11}Mirror(J_6, b) → A_{19}Mirror(K_6, b) → B_{19}Mirror(L_6, b) → C_{19}CircumcircleArc(A_{19}, B_{19}, C_{19}) → r_{11}Mirror(M_6, b) → D_{19}Mirror(N_6, b) → E_{19}Mirror(O_6, b) → F_{19}CircumcircleArc(D_{19}, E_{19}, F_{19}) → s_{11}Mirror(P_6, b) → G_{19}Mirror(Q_6, b) → H_{19}Mirror(R_6, b) → I_{19}CircumcircleArc(G_{19}, H_{19}, I_{19}) → t_{11}Mirror(S_6, b) → J_{19}Mirror(T_6, b) → K_{19}Mirror(U_6, b) → L_{19}CircumcircleArc(J_{19}, K_{19}, L_{19}) → c_{12}Mirror(V_6, b) → M_{19}Mirror(W_6, b) → N_{19}Mirror(Z_6, b) → O_{19}CircumcircleArc(M_{19}, N_{19}, O_{19}) → d_{12}Mirror(B_7, b) → P_{19}Mirror(D_7, b) → Q_{19}Mirror(E_7, b) → R_{19}CircumcircleArc(P_{19}, Q_{19}, R_{19}) → e_{12}Mirror(F_7, b) → S_{19}Mirror(G_7, b) → T_{19}Mirror(H_7, b) → U_{19}CircumcircleArc(S_{19}, T_{19}, U_{19}) → f_{12}Mirror(I_7, b) → V_{19}Mirror(J_7, b) → W_{19}Mirror(K_7, b) → Z_{19}CircumcircleArc(V_{19}, W_{19}, Z_{19}) → g_{12}Mirror(L_7, b) → A_{20}Mirror(M_7, b) → B_{20}Mirror(N_7, b) → C_{20}CircumcircleArc(A_{20}, B_{20}, C_{20}) → h_{12}Mirror(O_7, b) → D_{20}Mirror(P_7, b) → E_{20}Mirror(Q_7, b) → F_{20}CircumcircleArc(D_{20}, E_{20}, F_{20}) → k_{12}Mirror(R_7, b) → G_{20}Mirror(S_7, b) → H_{20}Mirror(T_7, b) → I_{20}CircumcircleArc(G_{20}, H_{20}, I_{20}) → p_{12}Mirror(U_7, b) → J_{20}Mirror(V_7, b) → K_{20}Mirror(W_7, b) → L_{20}CircumcircleArc(J_{20}, K_{20}, L_{20}) → q_{12}Mirror(Z_7, b) → M_{20}Mirror(B_8, b) → N_{20}Mirror(D_8, b) → O_{20}CircumcircleArc(M_{20}, N_{20}, O_{20}) → r_{12}Mirror(E_8, b) → P_{20}Mirror(F_8, b) → Q_{20}Mirror(G_8, b) → R_{20}CircumcircleArc(P_{20}, Q_{20}, R_{20}) → s_{12}Mirror(H_8, b) → S_{20}Mirror(I_8, b) → T_{20}Mirror(J_8, b) → U_{20}CircumcircleArc(S_{20}, T_{20}, U_{20}) → t_{12}Mirror(K_8, b) → V_{20}Mirror(L_8, b) → W_{20}Mirror(M_8, b) → Z_{20}CircumcircleArc(V_{20}, W_{20}, Z_{20}) → c_{13}
AI 绘图提示语参考
绘制一个对称图案,从一个初始点开始,通过反射和旋转创建多个对称点。然后连接这些点并绘制圆弧,形成复杂的对称设计。图案由多个圆弧和对称点组成,展示轴对称和旋转变换的原理。
以上提示语为根据原始绘图命令整理而来,仅供参考。