p6m 半规则6-4-3-4 马赛克:对称变换构造
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geometriadinamica.es
该范例展示在 p6m 六重对称框架下,用半规则贴片方式生成“6-4-3-4”几何马赛克(含三角与四边形/六边形的拼合规律),体现周期镶嵌与局部形状重复的现象。核心数学概念包括:马赛克/镶嵌(tessellation)、平面对称群 p6m、相似三角形与边长比例、分段几何变换(旋转、镜像、平移)以及由交点与中点等构造实现精确拼接。作图要点可由构造摘要提炼:使用 If 进行条件分支控制,结合 Line 与 Point 确定基准线与关键点;Polygon 形成单元多边形 poly1、poly2;Midpoint 计算边中点以维持比例;Mirror 与 Rotate 生成对称/旋转副本;Intersect 用于求边的交点以闭合拼片;Vector、Translate、Segment、Length、Circle 与 Translate/Rotate 共同完成方向、长度约束与圆/距离辅助;最终用 Min、Intersect 等保证拼接选择与几何关系一致。该示例适合中学竞赛拓展、大学基础几何与离散数学的教学演示,也适合对“对称变换+镶嵌构造”感兴趣的学习者用于自主建模与可视化实验。
GeoGebra 命令及参数
If(a < 2.3, 0, If[a < 3.3, a - 2.3, 1]) → d3If(a < 1.2, 0, If[a < 2.2, a - 1.2, 1]) → d2If(a < 1, a, 1) → d1If(a < 3.4, 0, If[a < 4.4, a - 3.4, 1]) → d4If(a < 4.5, 0, If[a < 5.5, a - 4.5, 1]) → d5If(a < 5.6, 0, If[a < 6.6, a - 5.6, 1]) → d6If(a < 6.7, 0, If[a < 7.7, a - 6.7, 1]) → d7If(a < 7.8, 0, If[a < 8.8, a - 7.8, 1]) → d8Line(A, B) → bLine(C, b) → dPoint(d) → DPolygon(C, D, 6) → poly1, e, H, f, g, h, i, j, E, F, GPolygon(G, F, 4) → poly2, k, l, m, n, I, JPolygon(H, G, 4) → poly3, p, q, r, s, K, LPolygon(C, H, 4) → poly4, t, a_1, b_1, c_1, M, NPolygon(F, E, 4) → poly5, d_1, e_1, o, g_1, O, PPolygon(E, D, 4) → poly6, f_1, h_1, i_1, j_1, Q, RPolygon(D, C, 4) → poly7, k_1, l_1, m_1, n_1, S, TPolygon(K, G, 3) → poly8, u, q_1, r_1, UPolygon(I, F, 3) → poly9, p_1, s_1, t_1, VPolygon(E, R, 3) → poly10, w, b_2, c_2, WMidpoint(C, F) → ZMidpoint(F, J) → A_1Mirror(K, Z) → K'Mirror(G, Z) → G'Mirror(U, Z) → U'Polygon(K', G', U') → poly8', u', k', g'Mirror(I, Z) → I'Mirror(F, Z) → F'Mirror(V, Z) → V'Polygon(I', F', V') → poly9', v', i', f'Mirror(E, Z) → E'Mirror(R, Z) → R'Mirror(W, Z) → W'Polygon(E', R', W') → poly10', w', e', r'Mirror(C, A_1) → C'Mirror(D, A_1) → D'Mirror(E, A_1) → E'_1Mirror(F, A_1) → F'_1Mirror(G, A_1) → G'_1Mirror(H, A_1) → H'Polygon(C', D', E'_1, F'_1, G'_1, H') → poly1', c', d', e'_1, f'_1, g'_1, h'Mirror(E, A_1) → E'_2Mirror(D, A_1) → D'_1Mirror(Q, A_1) → Q'Mirror(R, A_1) → R'_1Polygon(E'_2, D'_1, Q', R'_1) → poly6', e'_2, d'_1, q', r'_1Mirror(F, A_1) → F'_2Mirror(E, A_1) → E'_3Mirror(O, A_1) → O'Mirror(P, A_1) → P'Polygon(F'_2, E'_3, O', P') → poly5', f'_2, e'_3, o', p'Mirror(C', Z) → C''Mirror(D', Z) → D''Mirror(E'_1, Z) → B_1Mirror(F'_1, Z) → C_1Mirror(G'_1, Z) → D_1Mirror(H', Z) → H''Polygon(C'', D'', B_1, C_1, D_1, H'') → poly1'', c'', d'', b_3, c_3, d_2, h''Mirror(E'_2, Z) → E_1Mirror(D'_1, Z) → F_1Mirror(Q', Z) → Q''Mirror(R'_1, Z) → G_1Polygon(E_1, F_1, Q'', G_1) → poly6'', e_2, f_2, q'', g_2Mirror(F'_2, Z) → H_1Mirror(E'_3, Z) → I_1Mirror(O', Z) → O''Mirror(P', Z) → P''Polygon(H_1, I_1, O'', P'') → poly5'', h_2, i_2, o'', p''Mirror(D, A_1) → D'_2Mirror(C, A_1) → C'_1Mirror(S, A_1) → S'Mirror(T, A_1) → T'Polygon(D'_2, C'_1, S', T') → poly7', d'_2, c'_1, s', t'Mirror(C, A_1) → C'_2Mirror(H, A_1) → H'_1Mirror(M, A_1) → M'Mirror(N, A_1) → N'Polygon(C'_2, H'_1, M', N') → poly4', c'_2, h'_1, m', n'Mirror(H, A_1) → H'_2Mirror(G, A_1) → G'_2Mirror(K, A_1) → K'_1Mirror(L, A_1) → L'Polygon(H'_2, G'_2, K'_1, L') → poly3', h'_2, g'_2, k'_1, l'Mirror(K', A_1) → K''Mirror(G', A_1) → G''Mirror(U', A_1) → U''Polygon(K'', G'', U'') → poly8'', u'', k'', g''Mirror(I', A_1) → I''Mirror(F', A_1) → F''Mirror(V', A_1) → V''Polygon(I'', F'', V'') → poly9'', v'', i'', f''Mirror(E', A_1) → E''Mirror(R', A_1) → R''Mirror(W', A_1) → W''Polygon(E'', R'', W'') → poly10'', w'', e'', r''Mirror(E, A_1) → E'_4Mirror(R, A_1) → R'_2Mirror(W, A_1) → W'_1Polygon(E'_4, R'_2, W'_1) → poly10'_1, w'_1, e'_4, r'_2Midpoint(E'_1, K) → J_1Mirror(C', J_1) → C''_1Mirror(D', J_1) → D''_1Mirror(E'_1, J_1) → K_1Mirror(F'_1, J_1) → L_1Mirror(G'_1, J_1) → M_1Mirror(H', J_1) → H''_1Polygon(C''_1, D''_1, K_1, L_1, M_1, H''_1) → poly1''_1, c''_1, d''_1, k_2, l_2, m_2, h''_1Mirror(C'_2, J_1) → N_1Mirror(H'_1, J_1) → O_1Mirror(M', J_1) → M''Mirror(N', J_1) → N''Polygon(N_1, O_1, M'', N'') → poly4'', n_2, o_1, m'', n''Mirror(I'', J_1) → I'''Mirror(F'', J_1) → F'''Mirror(V'', J_1) → V'''Polygon(I''', F''', V''') → poly9''', v''', i''', f'''Mirror(D'_2, J_1) → P_1Mirror(C'_1, J_1) → Q_1Mirror(S', J_1) → S''Mirror(T', J_1) → T''Polygon(P_1, Q_1, S'', T'') → poly7'', p_2, q_2, s'', t''Mirror(C''_1, A_1) → R_1Mirror(D''_1, A_1) → S_1Mirror(K_1, A_1) → T_1Mirror(L_1, A_1) → U_1Mirror(M_1, A_1) → V_1Mirror(H''_1, A_1) → W_1Polygon(R_1, S_1, T_1, U_1, V_1, W_1) → poly11, r_2, s_2, t_2, u_1, v_1, w_1Mirror(N_1, A_1) → Z_1Mirror(O_1, A_1) → A_2Mirror(M'', A_1) → M'''Mirror(N'', A_1) → N'''Polygon(Z_1, A_2, M''', N''') → poly4''', z_1, a_2, m''', n'''Mirror(I''', A_1) → B_2Mirror(F''', A_1) → C_2Mirror(V''', A_1) → D_2Polygon(B_2, C_2, D_2) → poly12, d_3, b_4, c_4Mirror(P_1, A_1) → E_2Mirror(Q_1, A_1) → F_2Mirror(S'', A_1) → S'''Mirror(T'', A_1) → T'''Polygon(E_2, F_2, S''', T''') → poly7''', e_3, f_3, s''', t'''Midpoint(P, H') → G_2Mirror(E'_2, G_2) → H_2Mirror(D'_1, G_2) → I_2Mirror(Q', G_2) → Q''_1Mirror(R'_1, G_2) → J_2Polygon(H_2, I_2, Q''_1, J_2) → poly6''_1, h_3, i_3, q''_1, j_2Mirror(K'', G_2) → K'''Mirror(G'', G_2) → G'''Mirror(U'', G_2) → U'''Polygon(K''', G''', U''') → poly8''', u''', k''', g'''Mirror(D'_2, G_2) → K_2Mirror(C'_1, G_2) → L_2Mirror(S', G_2) → S''_1Mirror(T', G_2) → T''_1Polygon(K_2, L_2, S''_1, T''_1) → poly7''_1, k_3, l_3, s''_1, t''_1Mirror(E'_4, G_2) → M_2Mirror(R'_2, G_2) → N_2Mirror(W'_1, G_2) → O_2Polygon(M_2, N_2, O_2) → poly13, o_2, m_3, n_3Mirror(C, G_2) → C'_3Mirror(D, G_2) → D'_3Mirror(E, G_2) → E'_5Mirror(F, G_2) → F'_3Mirror(G, G_2) → G'_3Mirror(H, G_2) → H'_3Polygon(C'_3, D'_3, E'_5, F'_3, G'_3, H'_3) → poly1'_1, c'_3, d'_3, e'_5, f'_3, g'_3, h'_3Midpoint(S, D'') → P_2Midpoint(M_1, L) → Q_2Mirror(P_1, Q_2) → R_2Mirror(Q_1, Q_2) → S_2Mirror(S'', Q_2) → S'''_1Mirror(T'', Q_2) → T'''_1Polygon(R_2, S_2, S'''_1, T'''_1) → poly7'''_1, r_3, s_3, s'''_1, t'''_1Mirror(H, Q_2) → H'_4Mirror(G, Q_2) → G'_4Mirror(K, Q_2) → K'_2Mirror(L, Q_2) → L'_1Polygon(H'_4, G'_4, K'_2, L'_1) → poly3'_1, h'_4, g'_4, k'_2, l'_1Mirror(E', Q_2) → E''_1Mirror(R', Q_2) → R''_1Mirror(W', Q_2) → W''_1Polygon(E''_1, R''_1, W''_1) → poly10''_1, w''_1, e''_1, r''_1Mirror(K, Q_2) → K'_3Mirror(G, Q_2) → G'_5Mirror(U, Q_2) → U'_1Polygon(K'_3, G'_5, U'_1) → poly8'_1, u'_1, k'_3, g'_5Midpoint(T'''_1, O') → T_2Mirror(C''_1, T_2) → U_2Mirror(D''_1, T_2) → V_2Mirror(K_1, T_2) → W_2Mirror(L_1, T_2) → Z_2Mirror(M_1, T_2) → A_3Mirror(H''_1, T_2) → B_3Polygon(U_2, V_2, W_2, Z_2, A_3, B_3) → poly14, u_2, v_2, w_2, z_2, a_3, b_5Mirror(F'_2, T_2) → C_3Mirror(E'_3, T_2) → D_3Mirror(O', T_2) → O''_1Mirror(P', T_2) → P''_1Polygon(C_3, D_3, O''_1, P''_1) → poly5''_1, c_5, d_4, o''_1, p''_1Mirror(K, T_2) → K'_4Mirror(G, T_2) → G'_6Mirror(U, T_2) → U'_2Polygon(K'_4, G'_6, U'_2) → poly8'_2, u'_2, k'_4, g'_6Mirror(H, T_2) → H'_5Mirror(G, T_2) → G'_7Mirror(K, T_2) → K'_5Mirror(L, T_2) → L'_2Polygon(H'_5, G'_7, K'_5, L'_2) → poly3'_2, h'_5, g'_7, k'_5, l'_2Mirror(U_2, Q_2) → E_3Mirror(V_2, Q_2) → F_3Mirror(W_2, Q_2) → G_3Mirror(Z_2, Q_2) → H_3Mirror(A_3, Q_2) → I_3Mirror(B_3, Q_2) → J_3Polygon(E_3, F_3, G_3, H_3, I_3, J_3) → poly14', e_4, f_4, g_3, h_4, i_4, j_3Mirror(E'_2, Q_2) → K_3Mirror(D'_1, Q_2) → L_3Mirror(Q', Q_2) → Q''_2Mirror(R'_1, Q_2) → M_3Polygon(K_3, L_3, Q''_2, M_3) → poly6''_2, k_4, l_4, q''_2, m_4Mirror(E_2, Z) → N_3Mirror(F_2, Z) → O_3Mirror(S''', Z) → P_3Mirror(T''', Z) → Q_3Polygon(N_3, O_3, P_3, Q_3) → poly15, n_4, o_3, p_3, q_3Mirror(H'_2, Z) → R_3Mirror(G'_2, Z) → S_3Mirror(K'_1, Z) → T_3Mirror(L', Z) → L''Polygon(R_3, S_3, T_3, L'') → poly3'', r_4, s_4, t_3, l''Mirror(E'', Z) → E'''Mirror(R'', Z) → R'''Mirror(W'', Z) → W'''Polygon(E''', R''', W''') → poly10''', w''', e''', r'''Mirror(M_2, Z) → U_3Mirror(N_2, Z) → V_3Mirror(O_2, Z) → W_3Polygon(U_3, V_3, W_3) → poly13', w_3, u_3, v_3Mirror(Z_1, Z) → Z_3Mirror(A_2, Z) → A_4Mirror(M''', Z) → B_4Mirror(N''', Z) → C_4Polygon(Z_3, A_4, B_4, C_4) → poly16, z_3, a_4, b_6, c_6Mirror(B_2, Z) → D_4Mirror(C_2, Z) → E_4Mirror(D_2, Z) → F_4Polygon(D_4, E_4, F_4) → poly12', f_5, d_5, e_5Mirror(H'_4, Z) → G_4Mirror(G'_4, Z) → H_4Mirror(K'_2, Z) → I_4Mirror(L'_1, Z) → J_4Polygon(G_4, H_4, I_4, J_4) → poly17, g_4, h_5, i_5, j_4Mirror(C''_1, Z) → K_4Mirror(D''_1, Z) → L_4Mirror(K_1, Z) → M_4Mirror(L_1, Z) → N_4Mirror(M_1, Z) → O_4Mirror(H''_1, Z) → P_4Polygon(K_4, L_4, M_4, N_4, O_4, P_4) → poly18, k_5, l_5, m_5, n_5, o_4, p_4Mirror(E''_1, Z) → Q_4Mirror(R''_1, Z) → R_4Mirror(W''_1, Z) → S_4Polygon(Q_4, R_4, S_4) → poly19, s_5, q_4, r_5Mirror(K'_3, Z) → T_4Mirror(G'_5, Z) → U_4Mirror(U'_1, Z) → V_4Polygon(T_4, U_4, V_4) → poly20, v_4, t_4, u_4Mirror(N_1, Z) → W_4Mirror(O_1, Z) → Z_4Mirror(M'', Z) → M'''_1Mirror(N'', Z) → N'''_1Polygon(W_4, Z_4, M'''_1, N'''_1) → poly4'''_1, w_4, z_4, m'''_1, n'''_1Mirror(R_2, Z) → A_5Mirror(S_2, Z) → B_5Mirror(S'''_1, Z) → C_5Mirror(T'''_1, Z) → D_5Polygon(A_5, B_5, C_5, D_5) → poly21, a_5, b_7, c_7, d_6Mirror(E'_4, Z) → E_5Mirror(R'_2, Z) → F_5Mirror(W'_1, Z) → G_5Polygon(E_5, F_5, G_5) → poly22, g_5, e_6, f_6Mirror(H_1, P_2) → H_5Mirror(I_1, P_2) → I_5Mirror(O'', P_2) → O'''Mirror(P'', P_2) → P'''Polygon(H_5, I_5, O''', P''') → poly5''', h_6, i_6, o''', p'''Midpoint(T', C') → J_5Midpoint(D', I) → K_5Mirror(F, K_5) → F'_4Mirror(E, K_5) → E'_6Mirror(O, K_5) → O'_1Mirror(P, K_5) → P'_1Polygon(F'_4, E'_6, O'_1, P'_1) → poly5'_1, f'_4, e'_6, o'_1, p'_1Mirror(C', J_5) → C''_2Mirror(D', J_5) → D''_2Mirror(E'_1, J_5) → L_5Mirror(F'_1, J_5) → M_5Mirror(G'_1, J_5) → N_5Mirror(H', J_5) → H''_2Polygon(C''_2, D''_2, L_5, M_5, N_5, H''_2) → poly1''_2, c''_2, d''_2, l_6, m_6, n_6, h''_2Mirror(E'_2, J_5) → O_5Mirror(D'_1, J_5) → P_5Mirror(Q', J_5) → Q''_3Mirror(R'_1, J_5) → Q_5Polygon(O_5, P_5, Q''_3, Q_5) → poly6''_3, o_5, p_5, q''_3, q_5Mirror(K'_4, J_5) → R_5Mirror(G'_6, J_5) → S_5Mirror(U'_2, J_5) → T_5Polygon(R_5, S_5, T_5) → poly23, t_5, r_6, s_6Mirror(C_3, J_5) → U_5Mirror(D_3, J_5) → V_5Mirror(O''_1, J_5) → W_5Mirror(P''_1, J_5) → Z_5Polygon(U_5, V_5, W_5, Z_5) → poly24, u_5, v_5, w_5, z_5Mirror(H'_5, J_5) → A_6Mirror(G'_7, J_5) → B_6Mirror(K'_5, J_5) → C_6Mirror(L'_2, J_5) → D_6Polygon(A_6, B_6, C_6, D_6) → poly25, a_6, b_8, c_8, d_7Midpoint(G'_6, V_2) → E_6Midpoint(U_2, U'') → F_6Mirror(F_6, K_5) → G_6Mirror(Z, G_6) → Z'Mirror(G_2, Z') → H_6Mirror(J_1, K_5) → I_6Mirror(K_5, I_6) → J_6Mirror(J_6, Z') → K_6Mirror(A_1, Z) → L_6Midpoint(P_2, K_6) → M_6Midpoint(P_2, Q_2) → N_6Midpoint(I''', F_3) → O_6Midpoint(E_3, W_3) → P_6Midpoint(N'', J_3) → Q_6Mirror(Q_6, O_6) → R_6Mirror(R_6, P_2) → S_6Mirror(M_6, K_6) → T_6Midpoint(Z', J_6) → U_6Midpoint(Z', K_6) → V_6Midpoint(O_6, Q_2) → W_6Midpoint(O'', S_4) → Z_6Midpoint(G_4, I_4) → A_7Midpoint(Q_3, E_3) → B_7Midpoint(V_2, R'_1) → C_7Midpoint(R'_1, D') → D_7Mirror(F_6, C_7) → E_7Mirror(F_6, D_7) → F_7Mirror(D_7, J_5) → G_7Mirror(I_6, J_6) → H_7Mirror(G_7, J_6) → I_7Mirror(G_6, Z') → J_7Mirror(G_2, G_6) → K_7Mirror(K_7, Z) → L_7Mirror(L_7, Q_2) → M_7Mirror(N_6, W_6) → N_7Mirror(N_6, R_6) → O_7Line(E_6, H_6) → j_5Line(Q_2, j_5) → g_6Line(O_6, j_5) → j_6Line(O_6, K_6) → k_6Line(Q_2, Z') → p_6Line(C_7, J_6) → q_6Line(J_6, Q_2) → t_6Line(Z', O_6) → a_7Line(K_6, P_2) → e_7Line(J_6, K_6) → f_7Line(J_5, P_2) → g_7Line(O_6, C_7) → h_7Line(T_2, U_6) → i_7Line(W_6, V_6) → j_7Line(C', J) → k_7Line(R_1, O) → l_7Line(V_1, L') → m_7Line(J_4, R) → n_7Line(D'', S) → p_7Line(D, G) → q_7Line(C, F) → r_7Line(Q_2, O') → s_7Intersect(i_7, s_7) → P_7Intersect(p_6, k_7) → Q_7Intersect(i_7, m_7) → R_7Intersect(i_7, l_7) → S_7Intersect(j_7, m_7) → T_7Intersect(j_7, n_7) → U_7Intersect(n_7, p_6) → V_7Intersect(p_7, j_7) → W_7Intersect(r_7, k_6) → Z_7Intersect(q_7, l_7) → A_8Intersect(j_7, s_7) → B_8Intersect(i_7, p_7) → C_8Intersect(q_6, l_7) → D_8Intersect(m_7, k_7) → E_8Intersect(n_7, s_7) → F_8Intersect(q_6, p_7) → G_8Intersect(k_6, m_7) → H_8Intersect(k_6, s_7) → I_8Intersect(k, g_7) → J_8Intersect(n, p_6) → K_8Polygon(Z, J_8, G) → poly26, g_8, z, j_8Polygon(J_8, A_1, K_8, G) → poly27, j_9, a_8, k_8, g_9Polygon(G, Q_7, K_8) → poly28, k_9, g_{10}, q_8Mirror(J_8, g_7) → L_8Mirror(A_1, g_7) → M_8Mirror(K_8, g_7) → N_8Mirror(G, g_7) → G'_8Polygon(L_8, M_8, N_8, G'_8) → poly27', l_8, m_8, n_8, g'_8Mirror(G, g_7) → G'_9Mirror(Q_7, g_7) → O_8Mirror(K_8, g_7) → P_8Polygon(G'_9, O_8, P_8) → poly28', p_8, g'_9, o_8Mirror(Z, g_7) → Z'_1Mirror(J_8, g_7) → Q_8Mirror(G, g_7) → G'_{10}Polygon(Z'_1, Q_8, G'_{10}) → poly26', g'_{10}, z'_1, q_9Min(60, ((a - 1) * 60)) → r1Rotate(Z, r1°, Z) → Z'_2Rotate(J_8, r1°, Z) → R_8Rotate(G, r1°, Z) → G'_{11}Polygon(Z'_2, R_8, G'_{11}) → poly26'_1, g'_{11}, z'_2, r_8Rotate(Z'_1, r1°, Z) → S_8Rotate(Q_8, r1°, Z) → T_8Rotate(G'_{10}, r1°, Z) → U_8Polygon(S_8, T_8, U_8) → poly26'', u_8, s_8, t_8Rotate(J_8, r1°, Z) → V_8Rotate(A_1, r1°, Z) → W_8Rotate(K_8, r1°, Z) → Z_8Rotate(G, r1°, Z) → G'_{12}Polygon(V_8, W_8, Z_8, G'_{12}) → poly27'_1, v_8, w_8, z_8, g'_{12}Rotate(L_8, r1°, Z) → A_9Rotate(M_8, r1°, Z) → B_9Rotate(N_8, r1°, Z) → C_9Rotate(G'_8, r1°, Z) → D_9Polygon(A_9, B_9, C_9, D_9) → poly27'', a_9, b_9, c_9, d_9Rotate(G'_9, r1°, Z) → E_9Rotate(O_8, r1°, Z) → F_9Rotate(P_8, r1°, Z) → G_9Polygon(E_9, F_9, G_9) → poly28'', g_{11}, e_9, f_9Rotate(G, r1°, Z) → G'_{13}Rotate(Q_7, r1°, Z) → H_9Rotate(K_8, r1°, Z) → I_9Polygon(G'_{13}, H_9, I_9) → poly28'_1, i_9, g'_{13}, h_9Rotate(J_8, r1°, Z) → J_9Rotate(A_1, r1°, Z) → K_9Rotate(K_8, r1°, Z) → L_9Rotate(G, r1°, Z) → G'_{14}Min(60, ((a - 2) * 60)) → r2Rotate(G'_{13}, r2°, Z) → M_9Rotate(H_9, r2°, Z) → N_9Rotate(I_9, r2°, Z) → O_9Polygon(M_9, N_9, O_9) → poly29, o_9, m_9, n_9Rotate(V_8, r2°, Z) → P_9Rotate(W_8, r2°, Z) → Q_9Rotate(Z_8, r2°, Z) → R_9Rotate(G'_{12}, r2°, Z) → S_9Polygon(P_9, Q_9, R_9, S_9) → poly30, p_9, q_{10}, r_9, s_9Rotate(A_9, r2°, Z) → T_9Rotate(B_9, r2°, Z) → U_9Rotate(C_9, r2°, Z) → V_9Rotate(D_9, r2°, Z) → W_9Polygon(T_9, U_9, V_9, W_9) → poly27''', t_9, u_9, v_9, w_9Rotate(E_9, r2°, Z) → Z_9Rotate(F_9, r2°, Z) → A_{10}Rotate(G_9, r2°, Z) → B_{10}Polygon(Z_9, A_{10}, B_{10}) → poly28''', b_{10}, z_9, a_{10}Rotate(S_8, r2°, Z) → C_{10}Rotate(T_8, r2°, Z) → D_{10}Rotate(U_8, r2°, Z) → E_{10}Polygon(C_{10}, D_{10}, E_{10}) → poly26''', e_{10}, c_{10}, d_{10}Rotate(Z'_2, r2°, Z) → F_{10}Rotate(R_8, r2°, Z) → G_{10}Rotate(G'_{11}, r2°, Z) → H_{10}Polygon(F_{10}, G_{10}, H_{10}) → poly31, h_{10}, f_{10}, g_{12}Min(60, ((a - 3) * 60)) → r3Rotate(Z_9, r3°, Z) → I_{10}Rotate(A_{10}, r3°, Z) → J_{10}Rotate(B_{10}, r3°, Z) → K_{10}Polygon(I_{10}, J_{10}, K_{10}) → poly32, k_{10}, i_{10}, j_{10}Rotate(T_9, r3°, Z) → L_{10}Rotate(U_9, r3°, Z) → M_{10}Rotate(V_9, r3°, Z) → N_{10}Rotate(W_9, r3°, Z) → O_{10}Polygon(L_{10}, M_{10}, N_{10}, O_{10}) → poly33, l_{10}, m_{10}, n_{10}, o_{10}Rotate(P_9, r3°, Z) → P_{10}Rotate(Q_9, r3°, Z) → Q_{10}Rotate(R_9, r3°, Z) → R_{10}Rotate(S_9, r3°, Z) → S_{10}Polygon(P_{10}, Q_{10}, R_{10}, S_{10}) → poly30', p_{10}, q_{11}, r_{10}, s_{10}Rotate(M_9, r3°, Z) → T_{10}Rotate(N_9, r3°, Z) → U_{10}Rotate(O_9, r3°, Z) → V_{10}Polygon(T_{10}, U_{10}, V_{10}) → poly29', v_{10}, t_{10}, u_{10}Rotate(C_{10}, r3°, Z) → W_{10}Rotate(D_{10}, r3°, Z) → Z_{10}Rotate(E_{10}, r3°, Z) → A_{11}Polygon(W_{10}, Z_{10}, A_{11}) → poly34, a_{11}, w_{10}, z_{10}Rotate(F_{10}, r3°, Z) → B_{11}Rotate(G_{10}, r3°, Z) → C_{11}Rotate(H_{10}, r3°, Z) → D_{11}Polygon(B_{11}, C_{11}, D_{11}) → poly31', d_{11}, b_{11}, c_{11}Min(60, ((a - 4) * 60)) → r4Rotate(W_{10}, r4°, Z) → E_{11}Rotate(Z_{10}, r4°, Z) → F_{11}Rotate(A_{11}, r4°, Z) → G_{11}Polygon(E_{11}, F_{11}, G_{11}) → poly34', g_{13}, e_{11}, f_{11}Rotate(B_{11}, r4°, Z) → H_{11}Rotate(C_{11}, r4°, Z) → I_{11}Rotate(D_{11}, r4°, Z) → J_{11}Polygon(H_{11}, I_{11}, J_{11}) → poly31'', j_{11}, h_{11}, i_{11}Rotate(I_{10}, r4°, Z) → K_{11}Rotate(J_{10}, r4°, Z) → L_{11}Rotate(K_{10}, r4°, Z) → M_{11}Polygon(K_{11}, L_{11}, M_{11}) → poly32', m_{11}, k_{11}, l_{11}Rotate(L_{10}, r4°, Z) → N_{11}Rotate(M_{10}, r4°, Z) → O_{11}Rotate(N_{10}, r4°, Z) → P_{11}Rotate(O_{10}, r4°, Z) → Q_{11}Polygon(N_{11}, O_{11}, P_{11}, Q_{11}) → poly33', n_{11}, o_{11}, p_{11}, q_{12}Rotate(P_{10}, r4°, Z) → R_{11}Rotate(Q_{10}, r4°, Z) → S_{11}Rotate(R_{10}, r4°, Z) → T_{11}Rotate(S_{10}, r4°, Z) → U_{11}Polygon(R_{11}, S_{11}, T_{11}, U_{11}) → poly30'', r_{11}, s_{11}, t_{11}, u_{11}Rotate(T_{10}, r4°, Z) → V_{11}Rotate(U_{10}, r4°, Z) → W_{11}Rotate(V_{10}, r4°, Z) → Z_{11}Polygon(V_{11}, W_{11}, Z_{11}) → poly29'', z_{11}, v_{11}, w_{11}Min(60, ((a - 5) * 60)) → r5Rotate(K_{11}, r5°, Z) → A_{12}Rotate(L_{11}, r5°, Z) → B_{12}Rotate(M_{11}, r5°, Z) → C_{12}Polygon(A_{12}, B_{12}, C_{12}) → poly32'', c_{12}, a_{12}, b_{12}Rotate(N_{11}, r5°, Z) → D_{12}Rotate(O_{11}, r5°, Z) → E_{12}Rotate(P_{11}, r5°, Z) → F_{12}Rotate(Q_{11}, r5°, Z) → G_{12}Polygon(D_{12}, E_{12}, F_{12}, G_{12}) → poly33'', d_{12}, e_{12}, f_{12}, g_{14}Rotate(R_{11}, r5°, Z) → H_{12}Rotate(S_{11}, r5°, Z) → I_{12}Rotate(T_{11}, r5°, Z) → J_{12}Rotate(U_{11}, r5°, Z) → K_{12}Polygon(H_{12}, I_{12}, J_{12}, K_{12}) → poly30''', h_{12}, i_{12}, j_{12}, k_{12}Rotate(V_{11}, r5°, Z) → L_{12}Rotate(W_{11}, r5°, Z) → M_{12}Rotate(Z_{11}, r5°, Z) → N_{12}Polygon(L_{12}, M_{12}, N_{12}) → poly29''', n_{12}, l_{12}, m_{12}Rotate(E_{11}, r5°, Z) → O_{12}Rotate(F_{11}, r5°, Z) → P_{12}Rotate(G_{11}, r5°, Z) → Q_{12}Polygon(O_{12}, P_{12}, Q_{12}) → poly34'', q_{13}, o_{12}, p_{12}Rotate(C, r5°, Z) → C'_4Rotate(D, r5°, Z) → D'_4Rotate(E, r5°, Z) → E'_7Rotate(F, r5°, Z) → F'_5Rotate(G, r5°, Z) → G'_{15}Rotate(H, r5°, Z) → H'_6Rotate(H_{11}, r5°, Z) → R_{12}Rotate(I_{11}, r5°, Z) → S_{12}Rotate(J_{11}, r5°, Z) → T_{12}Polygon(R_{12}, S_{12}, T_{12}) → poly31''', t_{12}, r_{12}, s_{12}Vector(Q_2, K_5) → u1Vector(Q_2, Z) → u2Length(u1) → z1Min(z1, ((a - 6) * z1)) → z2Intersect(j_5, e_7) → U_{12}Circle(U_{12}, z2) → t_7Circle(U_{12}, r3) → d_8Intersect(t_7, e_7, 1) → V_{12}Vector(U_{12}, V_{12}) → u_6Circle(U_{12}, r3) → e_8Min(z1, ((a - 7) * z1)) → z3Circle(U_{12}, z3) → f_8Intersect(f_8, j_5, 2) → W_{12}Vector(U_{12}, W_{12}) → v_6Translate(G'_9, u_6) → Z_{12}Translate(O_8, u_6) → A_{13}Translate(P_8, u_6) → B_{13}Polygon(Z_{12}, A_{13}, B_{13}) → poly28''_1, b_{13}, z_{12}, a_{13}Translate(L_{12}, u_6) → C_{13}Translate(M_{12}, u_6) → D_{13}Translate(N_{12}, u_6) → E_{13}Polygon(C_{13}, D_{13}, E_{13}) → poly35, e_{13}, c_{13}, d_{13}Translate(H_{12}, u_6) → F_{13}Translate(I_{12}, u_6) → G_{13}Translate(J_{12}, u_6) → H_{13}Translate(K_{12}, u_6) → I_{13}Polygon(F_{13}, G_{13}, H_{13}, I_{13}) → poly36, f_{13}, g_{15}, h_{13}, i_{13}Translate(D_{12}, u_6) → J_{13}Translate(E_{12}, u_6) → K_{13}Translate(F_{12}, u_6) → L_{13}Translate(G_{12}, u_6) → M_{13}Polygon(J_{13}, K_{13}, L_{13}, M_{13}) → poly33''', j_{13}, k_{13}, l_{13}, m_{13}Translate(A_{12}, u_6) → N_{13}Translate(B_{12}, u_6) → O_{13}Translate(C_{12}, u_6) → P_{13}Polygon(N_{13}, O_{13}, P_{13}) → poly32''', p_{13}, n_{13}, o_{13}Translate(V_{11}, u_6) → Q_{13}Translate(W_{11}, u_6) → R_{13}Translate(Z_{11}, u_6) → S_{13}Polygon(Q_{13}, R_{13}, S_{13}) → poly29'''_1, s_{13}, q_{14}, r_{13}Translate(R_{11}, u_6) → T_{13}Translate(S_{11}, u_6) → U_{13}Translate(T_{11}, u_6) → V_{13}Translate(U_{11}, u_6) → W_{13}Polygon(T_{13}, U_{13}, V_{13}, W_{13}) → poly30'''_1, t_{13}, u_{13}, v_{13}, w_{13}Translate(N_{11}, u_6) → Z_{13}Translate(O_{11}, u_6) → A_{14}Translate(P_{11}, u_6) → B_{14}Translate(Q_{11}, u_6) → C_{14}Polygon(Z_{13}, A_{14}, B_{14}, C_{14}) → poly33''_1, z_{13}, a_{14}, b_{14}, c_{14}Translate(K_{11}, u_6) → D_{14}Translate(L_{11}, u_6) → E_{14}Translate(M_{11}, u_6) → F_{14}Polygon(D_{14}, E_{14}, F_{14}) → poly32''_1, f_{14}, d_{14}, e_{14}Translate(G', u_6) → G''_1Translate(P_{10}, u_6) → G_{14}Translate(Q_{10}, u_6) → H_{14}Translate(R_{10}, u_6) → I_{14}Translate(S_{10}, u_6) → J_{14}Polygon(G_{14}, H_{14}, I_{14}, J_{14}) → poly30''_1, g_{16}, h_{14}, i_{14}, j_{14}Translate(L_{10}, u_6) → K_{14}Translate(M_{10}, u_6) → L_{14}Translate(N_{10}, u_6) → M_{14}Translate(O_{10}, u_6) → N_{14}Polygon(K_{14}, L_{14}, M_{14}, N_{14}) → poly33'_1, k_{14}, l_{14}, m_{14}, n_{14}Translate(I_{10}, u_6) → O_{14}Translate(J_{10}, u_6) → P_{14}Translate(K_{10}, u_6) → Q_{14}Polygon(O_{14}, P_{14}, Q_{14}) → poly32'_1, q_{15}, o_{14}, p_{14}Translate(F', u_6) → F''_1Translate(P_9, u_6) → R_{14}Translate(Q_9, u_6) → S_{14}Translate(R_9, u_6) → T_{14}Translate(S_9, u_6) → U_{14}Polygon(R_{14}, S_{14}, T_{14}, U_{14}) → poly30'_1, r_{14}, s_{14}, t_{14}, u_{14}Translate(T_9, u_6) → V_{14}Translate(U_9, u_6) → W_{14}Translate(V_9, u_6) → Z_{14}Translate(W_9, u_6) → A_{15}Polygon(V_{14}, W_{14}, Z_{14}, A_{15}) → poly37, v_{14}, w_{14}, z_{14}, a_{15}Translate(Z_9, u_6) → B_{15}Translate(A_{10}, u_6) → C_{15}Translate(B_{10}, u_6) → D_{15}Polygon(B_{15}, C_{15}, D_{15}) → poly38, d_{15}, b_{15}, c_{15}Translate(G'_{13}, u_6) → E_{15}Translate(H_9, u_6) → F_{15}Translate(I_9, u_6) → G_{15}Polygon(E_{15}, F_{15}, G_{15}) → poly39, g_{17}, e_{15}, f_{15}Translate(V_8, u_6) → H_{15}Translate(W_8, u_6) → I_{15}Translate(Z_8, u_6) → J_{15}Translate(G'_{12}, u_6) → K_{15}Polygon(H_{15}, I_{15}, J_{15}, K_{15}) → poly40, h_{15}, i_{15}, j_{15}, k_{15}Translate(A_9, u_6) → L_{15}Translate(B_9, u_6) → M_{15}Translate(C_9, u_6) → N_{15}Translate(D_9, u_6) → O_{15}Polygon(L_{15}, M_{15}, N_{15}, O_{15}) → poly27'''_1, l_{15}, m_{15}, n_{15}, o_{15}Translate(E_9, u_6) → P_{15}Translate(F_9, u_6) → Q_{15}Translate(G_9, u_6) → R_{15}Polygon(P_{15}, Q_{15}, R_{15}) → poly28'''_1, r_{15}, p_{15}, q_{16}Translate(G, u_6) → G'_{16}Translate(Q_7, u_6) → S_{15}Translate(K_8, u_6) → T_{15}Polygon(G'_{16}, S_{15}, T_{15}) → poly28'_2, t_{15}, g'_{16}, s_{15}Translate(J_8, u_6) → U_{15}Translate(A_1, u_6) → V_{15}Translate(K_8, u_6) → W_{15}Translate(G, u_6) → G'_{17}Polygon(U_{15}, V_{15}, W_{15}, G'_{17}) → poly27'_2, u_{15}, v_{15}, w_{15}, g'_{17}Translate(L_8, u_6) → Z_{15}Translate(M_8, u_6) → A_{16}Translate(N_8, u_6) → B_{16}Translate(G'_8, u_6) → C_{16}Polygon(Z_{15}, A_{16}, B_{16}, C_{16}) → poly27''_1, z_{15}, a_{16}, b_{16}, c_{16}Translate(Z'_1, u_6) → D_{16}Translate(Q_8, u_6) → E_{16}Translate(G'_{10}, u_6) → F_{16}Polygon(D_{16}, E_{16}, F_{16}) → poly26''_1, f_{16}, d_{16}, e_{16}Translate(R_{12}, u_6) → G_{16}Translate(S_{12}, u_6) → H_{16}Translate(T_{12}, u_6) → I_{16}Polygon(G_{16}, H_{16}, I_{16}) → poly41, i_{16}, g_{18}, h_{16}Translate(O_{12}, u_6) → J_{16}Translate(P_{12}, u_6) → K_{16}Translate(Q_{12}, u_6) → L_{16}Polygon(J_{16}, K_{16}, L_{16}) → poly34''', l_{16}, j_{16}, k_{16}Translate(H_{11}, u_6) → M_{16}Translate(I_{11}, u_6) → N_{16}Translate(J_{11}, u_6) → O_{16}Polygon(M_{16}, N_{16}, O_{16}) → poly31'''_1, o_{16}, m_{16}, n_{16}Translate(E_{11}, u_6) → P_{16}Translate(F_{11}, u_6) → Q_{16}Translate(G_{11}, u_6) → R_{16}Polygon(P_{16}, Q_{16}, R_{16}) → poly34''_1, r_{16}, p_{16}, q_{17}Translate(B_{11}, u_6) → S_{16}Translate(C_{11}, u_6) → T_{16}Translate(D_{11}, u_6) → U_{16}Polygon(S_{16}, T_{16}, U_{16}) → poly31''_1, u_{16}, s_{16}, t_{16}Translate(W_{10}, u_6) → V_{16}Translate(Z_{10}, u_6) → W_{16}Translate(A_{11}, u_6) → Z_{16}Polygon(V_{16}, W_{16}, Z_{16}) → poly34'_1, z_{16}, v_{16}, w_{16}Translate(F_{10}, u_6) → A_{17}Translate(G_{10}, u_6) → B_{17}Translate(H_{10}, u_6) → C_{17}Polygon(A_{17}, B_{17}, C_{17}) → poly31'_1, c_{17}, a_{17}, b_{17}Translate(C_{10}, u_6) → D_{17}Translate(D_{10}, u_6) → E_{17}Translate(E_{10}, u_6) → F_{17}Polygon(D_{17}, E_{17}, F_{17}) → poly42, f_{17}, d_{17}, e_{17}Translate(Z'_2, u_6) → G_{17}Translate(R_8, u_6) → H_{17}Translate(G'_{11}, u_6) → I_{17}Polygon(G_{17}, H_{17}, I_{17}) → poly43, i_{17}, g_{19}, h_{17}Translate(S_8, u_6) → J_{17}Translate(T_8, u_6) → K_{17}Translate(U_8, u_6) → L_{17}Polygon(J_{17}, K_{17}, L_{17}) → poly26'''_1, l_{17}, j_{17}, k_{17}Translate(Z, u_6) → Z'_3Translate(J_8, u_6) → M_{17}Translate(G, u_6) → G'_{18}Polygon(Z'_3, M_{17}, G'_{18}) → poly26'_2, g'_{18}, z'_3, m_{17}Translate(T_{10}, u_6) → N_{17}Translate(U_{10}, u_6) → O_{17}Translate(V_{10}, u_6) → P_{17}Polygon(N_{17}, O_{17}, P_{17}) → poly29''_1, p_{17}, n_{17}, o_{17}Translate(M_9, u_6) → Q_{17}Translate(N_9, u_6) → R_{17}Translate(O_9, u_6) → S_{17}Polygon(Q_{17}, R_{17}, S_{17}) → poly29'_1, s_{17}, q_{18}, r_{17}Translate(R_{12}, v_6) → T_{17}Translate(S_{12}, v_6) → U_{17}Translate(T_{12}, v_6) → V_{17}Polygon(T_{17}, U_{17}, V_{17}) → poly44, v_{17}, t_{17}, u_{17}Translate(O_{12}, v_6) → W_{17}Translate(P_{12}, v_6) → Z_{17}Translate(Q_{12}, v_6) → A_{18}Polygon(W_{17}, Z_{17}, A_{18}) → poly34'''_1, a_{18}, w_{17}, z_{17}Translate(H_{11}, v_6) → B_{18}Translate(I_{11}, v_6) → C_{18}Translate(J_{11}, v_6) → D_{18}Polygon(B_{18}, C_{18}, D_{18}) → poly31'''_2, d_{18}, b_{18}, c_{18}Translate(E_{11}, v_6) → E_{18}Translate(F_{11}, v_6) → F_{18}Translate(G_{11}, v_6) → G_{18}Polygon(E_{18}, F_{18}, G_{18}) → poly34''_2, g_{20}, e_{18}, f_{18}Translate(B_{11}, v_6) → H_{18}Translate(C_{11}, v_6) → I_{18}Translate(D_{11}, v_6) → J_{18}Polygon(H_{18}, I_{18}, J_{18}) → poly31''_2, j_{18}, h_{18}, i_{18}Translate(W_{10}, v_6) → K_{18}Translate(Z_{10}, v_6) → L_{18}Translate(A_{11}, v_6) → M_{18}Polygon(K_{18}, L_{18}, M_{18}) → poly34'_2, m_{18}, k_{18}, l_{18}Translate(F_{10}, v_6) → N_{18}Translate(G_{10}, v_6) → O_{18}Translate(H_{10}, v_6) → P_{18}Polygon(N_{18}, O_{18}, P_{18}) → poly31'_2, p_{18}, n_{18}, o_{18}Translate(C_{10}, v_6) → Q_{18}Translate(D_{10}, v_6) → R_{18}Translate(E_{10}, v_6) → S_{18}Polygon(Q_{18}, R_{18}, S_{18}) → poly45, s_{18}, q_{19}, r_{18}Translate(Z'_2, v_6) → T_{18}Translate(R_8, v_6) → U_{18}Translate(G'_{11}, v_6) → V_{18}Polygon(T_{18}, U_{18}, V_{18}) → poly46, v_{18}, t_{18}, u_{18}Translate(S_8, v_6) → W_{18}Translate(T_8, v_6) → Z_{18}Translate(U_8, v_6) → A_{19}Polygon(W_{18}, Z_{18}, A_{19}) → poly26'''_2, a_{19}, w_{18}, z_{18}Translate(Z, v_6) → Z'_4Translate(J_8, v_6) → B_{19}Translate(G, v_6) → G'_{19}Polygon(Z'_4, B_{19}, G'_{19}) → poly26'_3, g'_{19}, z'_4, b_{19}Translate(Z'_1, v_6) → C_{19}Translate(Q_8, v_6) → D_{19}Translate(G'_{10}, v_6) → E_{19}Polygon(C_{19}, D_{19}, E_{19}) → poly26''_2, e_{19}, c_{19}, d_{19}Translate(L_8, v_6) → F_{19}Translate(M_8, v_6) → G_{19}Translate(N_8, v_6) → H_{19}Translate(G'_8, v_6) → I_{19}Polygon(F_{19}, G_{19}, H_{19}, I_{19}) → poly27''_2, f_{19}, g_{21}, h_{19}, i_{19}Translate(G, v_6) → G'_{20}Translate(Q_7, v_6) → J_{19}Translate(K_8, v_6) → K_{19}Polygon(G'_{20}, J_{19}, K_{19}) → poly28'_3, k_{19}, g'_{20}, j_{19}Translate(J_8, v_6) → L_{19}Translate(A_1, v_6) → M_{19}Translate(K_8, v_6) → N_{19}Translate(G, v_6) → G'_{21}Polygon(L_{19}, M_{19}, N_{19}, G'_{21}) → poly27'_3, l_{19}, m_{19}, n_{19}, g'_{21}Translate(A_9, v_6) → O_{19}Translate(B_9, v_6) → P_{19}Translate(C_9, v_6) → Q_{19}Translate(D_9, v_6) → R_{19}Polygon(O_{19}, P_{19}, Q_{19}, R_{19}) → poly27'''_2, o_{19}, p_{19}, q_{20}, r_{19}Translate(V_8, v_6) → S_{19}Translate(W_8, v_6) → T_{19}Translate(Z_8, v_6) → U_{19}Translate(G'_{12}, v_6) → V_{19}Polygon(S_{19}, T_{19}, U_{19}, V_{19}) → poly47, s_{19}, t_{19}, u_{19}, v_{19}Translate(G'_{13}, v_6) → W_{19}Translate(H_9, v_6) → Z_{19}Translate(I_9, v_6) → A_{20}Polygon(W_{19}, Z_{19}, A_{20}) → poly48, a_{20}, w_{19}, z_{19}Translate(Z_9, v_6) → B_{20}Translate(A_{10}, v_6) → C_{20}Translate(B_{10}, v_6) → D_{20}Polygon(B_{20}, C_{20}, D_{20}) → poly49, d_{20}, b_{20}, c_{20}Translate(T_9, v_6) → E_{20}Translate(U_9, v_6) → F_{20}Translate(V_9, v_6) → G_{20}Translate(W_9, v_6) → H_{20}Polygon(E_{20}, F_{20}, G_{20}, H_{20}) → poly50, e_{20}, f_{20}, g_{22}, h_{20}Translate(P_9, v_6) → I_{20}Translate(Q_9, v_6) → J_{20}Translate(R_9, v_6) → K_{20}Translate(S_9, v_6) → L_{20}Polygon(I_{20}, J_{20}, K_{20}, L_{20}) → poly30'_2, i_{20}, j_{20}, k_{20}, l_{20}Translate(M_9, v_6) → M_{20}Translate(N_9, v_6) → N_{20}Translate(O_9, v_6) → O_{20}Polygon(M_{20}, N_{20}, O_{20}) → poly29'_2, o_{20}, m_{20}, n_{20}Translate(I_{10}, v_6) → P_{20}Translate(J_{10}, v_6) → Q_{20}Translate(K_{10}, v_6) → R_{20}Polygon(P_{20}, Q_{20}, R_{20}) → poly32'_2, r_{20}, p_{20}, q_{21}Translate(L_{10}, v_6) → S_{20}Translate(M_{10}, v_6) → T_{20}Translate(N_{10}, v_6) → U_{20}Translate(O_{10}, v_6) → V_{20}Polygon(S_{20}, T_{20}, U_{20}, V_{20}) → poly33'_2, s_{20}, t_{20}, u_{20}, v_{20}Translate(P_{10}, v_6) → W_{20}Translate(Q_{10}, v_6) → Z_{20}Translate(R_{10}, v_6) → A_{21}Translate(S_{10}, v_6) → B_{21}Polygon(W_{20}, Z_{20}, A_{21}, B_{21}) → poly30''_2, w_{20}, z_{20}, a_{21}, b_{21}Translate(T_{10}, v_6) → C_{21}Translate(U_{10}, v_6) → D_{21}Translate(V_{10}, v_6) → E_{21}Polygon(C_{21}, D_{21}, E_{21}) → poly29''_2, e_{21}, c_{21}, d_{21}Translate(K_{11}, v_6) → F_{21}Translate(L_{11}, v_6) → G_{21}Translate(M_{11}, v_6) → H_{21}Polygon(F_{21}, G_{21}, H_{21}) → poly32''_2, h_{21}, f_{21}, g_{23}Translate(S_{19}, v_6) → I_{21}Translate(T_{19}, v_6) → J_{21}Translate(U_{19}, v_6) → K_{21}Translate(V_{19}, v_6) → L_{21}Translate(O_{19}, v_6) → M_{21}Translate(P_{19}, v_6) → N_{21}Translate(Q_{19}, v_6) → O_{21}Translate(R_{19}, v_6) → P_{21}Translate(V_{11}, v_6) → Q_{21}Translate(W_{11}, v_6) → R_{21}Translate(Z_{11}, v_6) → S_{21}Polygon(Q_{21}, R_{21}, S_{21}) → poly29'''_2, s_{21}, q_{22}, r_{21}Translate(F_{12}, v_6) → T_{21}Translate(G_{12}, v_6) → U_{21}Segment(T_{21}, U_{21}) → h_8Translate(D_{12}, v_6) → V_{21}Translate(E_{12}, v_6) → W_{21}Translate(F_{12}, v_6) → Z_{21}Translate(G_{12}, v_6) → A_{22}Polygon(V_{21}, W_{21}, Z_{21}, A_{22}) → poly33'''_1, v_{21}, w_{21}, z_{21}, a_{22}Translate(G'_9, v_6) → B_{22}Translate(O_8, v_6) → C_{22}Translate(P_8, v_6) → D_{22}Polygon(B_{22}, C_{22}, D_{22}) → poly28''_2, d_{22}, b_{22}, c_{22}Translate(L_{12}, v_6) → E_{22}Translate(M_{12}, v_6) → F_{22}Translate(N_{12}, v_6) → G_{22}Polygon(E_{22}, F_{22}, G_{22}) → poly52, g_{24}, e_{22}, f_{22}Translate(H_{12}, v_6) → H_{22}Translate(I_{12}, v_6) → I_{22}Translate(J_{12}, v_6) → J_{22}Translate(K_{12}, v_6) → K_{22}Polygon(H_{22}, I_{22}, J_{22}, K_{22}) → poly53, h_{22}, i_{22}, j_{22}, k_{22}Translate(A_{12}, v_6) → L_{22}Translate(B_{12}, v_6) → M_{22}Translate(C_{12}, v_6) → N_{22}Polygon(L_{22}, M_{22}, N_{22}) → poly32'''_1, n_{22}, l_{22}, m_{22}Translate(E_9, v_6) → O_{22}Translate(F_9, v_6) → P_{22}Translate(G_9, v_6) → Q_{22}Polygon(O_{22}, P_{22}, Q_{22}) → poly28'''_2, q_{23}, o_{22}, p_{22}Translate(N_{11}, v_6) → R_{22}Translate(O_{11}, v_6) → S_{22}Translate(P_{11}, v_6) → T_{22}Translate(Q_{11}, v_6) → U_{22}Polygon(R_{22}, S_{22}, T_{22}, U_{22}) → poly33''_2, r_{22}, s_{22}, t_{22}, u_{22}Translate(R_{11}, v_6) → V_{22}Translate(S_{11}, v_6) → W_{22}Translate(T_{11}, v_6) → Z_{22}Translate(U_{11}, v_6) → A_{23}Polygon(V_{22}, W_{22}, Z_{22}, A_{23}) → poly30'''_2, v_{22}, w_{22}, z_{22}, a_{23}Line(T_2, D_7) → i_8Line(W_6, L_7) → l_9Line(B_7, R_6) → i_{21}Line(I_6, G_2) → j_{21}Line(F_6, D_7) → k_{21}Line(V_6, T_2) → l_{21}Line(M_6, N_6) → m_{21}Line(U_6, F_6) → n_{21}Vector(E_7, C_7) → w_6Vector(M_7, Q_2) → z_6Line(O_6, K_5) → p_{21}Mirror(G'_{13}, p_{21}) → B_{23}Mirror(H_9, p_{21}) → C_{23}Mirror(I_9, p_{21}) → D_{23}Polygon(B_{23}, C_{23}, D_{23}) → poly51, d_{23}, b_{23}, c_{23}Mirror(Z_9, p_{21}) → E_{23}Mirror(A_{10}, p_{21}) → F_{23}Mirror(B_{10}, p_{21}) → G_{23}Polygon(E_{23}, F_{23}, G_{23}) → poly54, g_{25}, e_{23}, f_{23}Mirror(A_9, p_{21}) → H_{23}Mirror(B_9, p_{21}) → I_{23}Mirror(C_9, p_{21}) → J_{23}Mirror(D_9, p_{21}) → K_{23}Polygon(H_{23}, I_{23}, J_{23}, K_{23}) → poly27'''_3, h_{23}, i_{23}, j_{23}, k_{23}Mirror(V_8, p_{21}) → L_{23}Mirror(W_8, p_{21}) → M_{23}Mirror(Z_8, p_{21}) → N_{23}Mirror(G'_{12}, p_{21}) → O_{23}Polygon(L_{23}, M_{23}, N_{23}, O_{23}) → poly55, l_{23}, m_{23}, n_{23}, o_{23}Mirror(E_9, p_{21}) → P_{23}Mirror(F_9, p_{21}) → Q_{23}Mirror(G_9, p_{21}) → R_{23}Polygon(P_{23}, Q_{23}, R_{23}) → poly28'''_3, r_{23}, p_{23}, q_{24}Mirror(G, p_{21}) → G'_{22}Mirror(Q_7, p_{21}) → S_{23}Mirror(K_8, p_{21}) → T_{23}Polygon(G'_{22}, S_{23}, T_{23}) → poly28'_4, t_{23}, g'_{22}, s_{23}Mirror(Z'_2, p_{21}) → U_{23}Mirror(R_8, p_{21}) → V_{23}Mirror(G'_{11}, p_{21}) → W_{23}Mirror(S_8, p_{21}) → Z_{23}Mirror(T_8, p_{21}) → A_{24}Mirror(U_8, p_{21}) → B_{24}Mirror(T_9, p_{21}) → C_{24}Mirror(U_9, p_{21}) → D_{24}Mirror(V_9, p_{21}) → E_{24}Mirror(W_9, p_{21}) → F_{24}Polygon(C_{24}, D_{24}, E_{24}, F_{24}) → poly57, c_{24}, d_{24}, e_{24}, f_{24}Mirror(P_9, p_{21}) → G_{24}Mirror(Q_9, p_{21}) → H_{24}Mirror(R_9, p_{21}) → I_{24}Mirror(S_9, p_{21}) → J_{24}Polygon(G_{24}, H_{24}, I_{24}, J_{24}) → poly30'_3, g_{26}, h_{24}, i_{24}, j_{24}Mirror(M_9, p_{21}) → K_{24}Mirror(N_9, p_{21}) → L_{24}Mirror(O_9, p_{21}) → M_{24}Polygon(K_{24}, L_{24}, M_{24}) → poly29'_3, m_{24}, k_{24}, l_{24}Mirror(I_{10}, p_{21}) → N_{24}Mirror(J_{10}, p_{21}) → O_{24}Mirror(K_{10}, p_{21}) → P_{24}Polygon(N_{24}, O_{24}, P_{24}) → poly32'_3, p_{24}, n_{24}, o_{24}Mirror(L_{10}, p_{21}) → Q_{24}Mirror(M_{10}, p_{21}) → R_{24}Mirror(N_{10}, p_{21}) → S_{24}Mirror(O_{10}, p_{21}) → T_{24}Polygon(Q_{24}, R_{24}, S_{24}, T_{24}) → poly33'_3, q_{25}, r_{24}, s_{24}, t_{24}Mirror(P_{10}, p_{21}) → U_{24}Mirror(Q_{10}, p_{21}) → V_{24}Mirror(R_{10}, p_{21}) → W_{24}Mirror(S_{10}, p_{21}) → Z_{24}Polygon(U_{24}, V_{24}, W_{24}, Z_{24}) → poly30''_3, u_{24}, v_{24}, w_{24}, z_{24}Mirror(T_{10}, p_{21}) → A_{25}Mirror(U_{10}, p_{21}) → B_{25}Mirror(V_{10}, p_{21}) → C_{25}Polygon(A_{25}, B_{25}, C_{25}) → poly29''_3, c_{25}, a_{25}, b_{25}Mirror(T_{10}, p_{21}) → D_{25}Mirror(U_{10}, p_{21}) → E_{25}Mirror(V_{10}, p_{21}) → F_{25}Mirror(K_{11}, p_{21}) → G_{25}Mirror(L_{11}, p_{21}) → H_{25}Mirror(M_{11}, p_{21}) → I_{25}Polygon(G_{25}, H_{25}, I_{25}) → poly32''_3, i_{25}, g_{27}, h_{25}Mirror(N_{11}, p_{21}) → J_{25}Mirror(O_{11}, p_{21}) → K_{25}Mirror(P_{11}, p_{21}) → L_{25}Mirror(Q_{11}, p_{21}) → M_{25}Polygon(J_{25}, K_{25}, L_{25}, M_{25}) → poly33''_3, j_{25}, k_{25}, l_{25}, m_{25}Mirror(R_{11}, p_{21}) → N_{25}Mirror(S_{11}, p_{21}) → O_{25}Mirror(T_{11}, p_{21}) → P_{25}Mirror(U_{11}, p_{21}) → Q_{25}Polygon(N_{25}, O_{25}, P_{25}, Q_{25}) → poly30'''_3, n_{25}, o_{25}, p_{25}, q_{26}Mirror(V_{11}, p_{21}) → R_{25}Mirror(W_{11}, p_{21}) → S_{25}Mirror(Z_{11}, p_{21}) → T_{25}Polygon(R_{25}, S_{25}, T_{25}) → poly29'''_3, t_{25}, r_{25}, s_{25}Mirror(A_{12}, p_{21}) → U_{25}Mirror(B_{12}, p_{21}) → V_{25}Mirror(C_{12}, p_{21}) → W_{25}Polygon(U_{25}, V_{25}, W_{25}) → poly32'''_2, w_{25}, u_{25}, v_{25}Mirror(D_{12}, p_{21}) → Z_{25}Mirror(E_{12}, p_{21}) → A_{26}Mirror(F_{12}, p_{21}) → B_{26}Mirror(G_{12}, p_{21}) → C_{26}Polygon(Z_{25}, A_{26}, B_{26}, C_{26}) → poly33'''_2, z_{25}, a_{26}, b_{26}, c_{26}Mirror(H_{12}, p_{21}) → D_{26}Mirror(I_{12}, p_{21}) → E_{26}Mirror(J_{12}, p_{21}) → F_{26}Mirror(K_{12}, p_{21}) → G_{26}Polygon(D_{26}, E_{26}, F_{26}, G_{26}) → poly58, d_{26}, e_{26}, f_{26}, g_{28}Mirror(L_{12}, p_{21}) → H_{26}Mirror(M_{12}, p_{21}) → I_{26}Mirror(N_{12}, p_{21}) → J_{26}Polygon(H_{26}, I_{26}, J_{26}) → poly59, j_{26}, h_{26}, i_{26}Mirror(G'_9, p_{21}) → K_{26}Mirror(O_8, p_{21}) → L_{26}Mirror(P_8, p_{21}) → M_{26}Polygon(K_{26}, L_{26}, M_{26}) → poly28''_3, m_{26}, k_{26}, l_{26}Mirror(L_8, p_{21}) → N_{26}Mirror(M_8, p_{21}) → O_{26}Mirror(N_8, p_{21}) → P_{26}Mirror(G'_8, p_{21}) → Q_{26}Polygon(N_{26}, O_{26}, P_{26}, Q_{26}) → poly27''_3, n_{26}, o_{26}, p_{26}, q_{27}Mirror(J_8, p_{21}) → R_{26}Mirror(A_1, p_{21}) → S_{26}Mirror(K_8, p_{21}) → T_{26}Mirror(G, p_{21}) → G'_{23}Polygon(R_{26}, S_{26}, T_{26}, G'_{23}) → poly27'_4, r_{26}, s_{26}, t_{26}, g'_{23}Mirror(Z'_2, p_{21}) → U_{26}Mirror(R_8, p_{21}) → V_{26}Mirror(G'_{11}, p_{21}) → W_{26}Polygon(U_{26}, V_{26}, W_{26}) → poly56, w_{26}, u_{26}, v_{26}Mirror(S_8, p_{21}) → Z_{26}Mirror(T_8, p_{21}) → A_{27}Mirror(U_8, p_{21}) → B_{27}Polygon(Z_{26}, A_{27}, B_{27}) → poly26'''_3, b_{27}, z_{26}, a_{27}Mirror(Z, p_{21}) → Z'_5Mirror(J_8, p_{21}) → C_{27}Mirror(G, p_{21}) → G'_{24}Polygon(Z'_5, C_{27}, G'_{24}) → poly26'_4, g'_{24}, z'_5, c_{27}Mirror(Z'_1, p_{21}) → D_{27}Mirror(Q_8, p_{21}) → E_{27}Mirror(G'_{10}, p_{21}) → F_{27}Polygon(D_{27}, E_{27}, F_{27}) → poly26''_3, f_{27}, d_{27}, e_{27}Mirror(R_{12}, p_{21}) → G_{27}Mirror(S_{12}, p_{21}) → H_{27}Mirror(T_{12}, p_{21}) → I_{27}Polygon(G_{27}, H_{27}, I_{27}) → poly60, i_{27}, g_{29}, h_{27}Mirror(O_{12}, p_{21}) → J_{27}Mirror(P_{12}, p_{21}) → K_{27}Mirror(Q_{12}, p_{21}) → L_{27}Polygon(J_{27}, K_{27}, L_{27}) → poly34'''_2, l_{27}, j_{27}, k_{27}Mirror(H_{11}, p_{21}) → M_{27}Mirror(I_{11}, p_{21}) → N_{27}Mirror(J_{11}, p_{21}) → O_{27}Polygon(M_{27}, N_{27}, O_{27}) → poly31'''_3, o_{27}, m_{27}, n_{27}Mirror(E_{11}, p_{21}) → P_{27}Mirror(F_{11}, p_{21}) → Q_{27}Mirror(G_{11}, p_{21}) → R_{27}Polygon(P_{27}, Q_{27}, R_{27}) → poly34''_3, r_{27}, p_{27}, q_{28}Mirror(B_{11}, p_{21}) → S_{27}Mirror(C_{11}, p_{21}) → T_{27}Mirror(D_{11}, p_{21}) → U_{27}Polygon(S_{27}, T_{27}, U_{27}) → poly31''_3, u_{27}, s_{27}, t_{27}Mirror(W_{10}, p_{21}) → V_{27}Mirror(Z_{10}, p_{21}) → W_{27}Mirror(A_{11}, p_{21}) → Z_{27}Polygon(V_{27}, W_{27}, Z_{27}) → poly34'_3, z_{27}, v_{27}, w_{27}Mirror(F_{10}, p_{21}) → A_{28}Mirror(G_{10}, p_{21}) → B_{28}Mirror(H_{10}, p_{21}) → C_{28}Polygon(A_{28}, B_{28}, C_{28}) → poly31'_3, c_{28}, a_{28}, b_{28}Mirror(C_{10}, p_{21}) → D_{28}Mirror(D_{10}, p_{21}) → E_{28}Mirror(E_{10}, p_{21}) → F_{28}Polygon(D_{28}, E_{28}, F_{28}) → poly61, f_{28}, d_{28}, e_{28}Polygon(S_{23}, Z'_1, M_8) → poly62, m_{28}, s_{28}, z'_6Line(J_1, G_2) → t_{21}Line(D_7, A_1) → b_{24}Line(D_7, I_6) → d_{25}Line(I_6, A_1) → e_{25}Line(J_7, V_6) → f_{25}Line(H_6, G_6) → h_{28}Line(T_6, N_6) → i_{28}Line(R_6, P_6) → j_{28}Line(R_6, M_7) → k_{28}Line(T_2, L_7) → a_{24}Line(U_6, G_6) → l_{28}Line(J_1, P_6) → p_{28}Line(G_2, V_6) → r_{28}Line(N_7, T_2) → n_{28}Line(U_6, H_6) → t_{28}
AI 绘图提示语参考
绘制一个半正则六四三四镶嵌 tessellation 图形,基于 p6m 对称性框架,展示通过旋转、反射和位移等对称变换生成的周期性铺砖模式。图形由多种多边形组成,包括六边形、四边形和三角形,它们通过共享顶点和边形成复杂的镶嵌结构。首先构建基本的多边形单元,然后利用中点、反射和旋转等变换操作生成整个图形,最终呈现出具有高度对称性和规律性的铺砖效果。
以上提示语为根据原始绘图命令整理而来,仅供参考。