阿尔罕布拉宫与埃舍尔镶嵌图案的几何变换构造
几何画板及绘图内容加载中,请稍等……
本范例演示如何利用GeoGebra的几何变换工具,构造阿尔罕布拉宫和埃舍尔风格的镶嵌图案(Mosaicos)。核心数学概念包括多边形、平移、旋转、反射(镜像)以及相似变换,这些变换共同作用生成周期性或对称性的平面镶嵌。作图要点:从构造摘要可见,使用了If、Line、Intersect、Midpoint、Rotate、Polygon、Point、Vector、Translate、Segment、Mirror等命令,并涉及多个点、线段和多边形对象(如A、B、C、D等),通过旋转、平移和镜像操作复制基本图形单元,形成复杂的镶嵌图案。该范例适合中学或大学阶段的几何变换教学,也可用于艺术与数学交叉的探究活动,帮助学生直观理解对称群和平面密铺原理。
GeoGebra 命令及参数
If(a < 1, a, 1) → d1If(a < 1, 0, If[a < 2, a - 1, 1]) → d2If(a < 2.35, 0, If[a < 3.35, a - 2.35, 1]) → d3If(a < 3.35, 0, If[a < 4.35, a - 3.35, 1]) → d4If(a < 4.35, 0, If[a < 5.35, a - 4.35, 1]) → d5If(a < 5.5, 0, a - 5.5) → d6Line(C, D) → bLine(E, F) → dLine(G, b) → eLine(H, d) → fIntersect(d, e) → IIntersect(b, f) → JIntersect(e, f) → KMidpoint(E, J) → LMidpoint(I, K) → MRotate(L, (d1 * 180°), L) → L'Rotate(N, (d1 * 180°), L) → N'Rotate(O, (d1 * 180°), L) → O'Rotate(P, (d1 * 180°), L) → P'Rotate(Q, (d1 * 180°), L) → Q'Rotate(R, (d1 * 180°), L) → R'Rotate(S, (d1 * 180°), L) → S'Rotate(T, (d1 * 180°), L) → T'Rotate(J, (d1 * 180°), L) → J'Polygon(L', N', O', P', Q', R', S', T', J') → poly1', l', n', o', p', q', r', s', t', j'Point(e) → VRotate(M, ((-d1) * 180°), M) → M'Rotate(U, ((-d1) * 180°), M) → U'Rotate(V, ((-d1) * 180°), M) → V'Polygon(M', U', V') → poly1'_1, v', m', u'Point(d) → WPoint(e) → E_1Point(e) → F_1Point(d) → J_1Point(d) → K_1Point(e) → N_1Rotate(W, (d1 * 180°), M) → W'Rotate(Z, (d1 * 180°), M) → Z'Rotate(A_1, (d1 * 180°), M) → O_1Rotate(B_1, (d1 * 180°), M) → P_1Rotate(C_1, (d1 * 180°), M) → Q_1Rotate(D_1, (d1 * 180°), M) → R_1Rotate(E_1, (d1 * 180°), M) → S_1Rotate(F_1, (d1 * 180°), M) → T_1Rotate(G_1, (d1 * 180°), M) → U_1Rotate(H_1, (d1 * 180°), M) → V_1Rotate(I_1, (d1 * 180°), M) → W_1Rotate(J_1, (d1 * 180°), M) → Z_1Rotate(K_1, (d1 * 180°), M) → A_2Rotate(L_1, (d1 * 180°), M) → B_2Rotate(M_1, (d1 * 180°), M) → C_2Rotate(N_1, (d1 * 180°), M) → D_2Rotate(I, (d1 * 180°), M) → I'Polygon(W', Z', W_1, Z_1, A_2, B_2, C_2, D_2, I', O_1, P_1, Q_1, R_1, S_1, T_1, U_1, V_1) → poly1'_2, w', v_1, w_1, z_1, a_2, b_2, c_2, d_2, i', z', o_1, p_1, q_1, r_1, s_1, t_1, u_1Point(f) → E_2Point(f) → F_2Point(e) → I_2Point(e) → J_2Rotate(E_2, ((-d1) * 180°), K) → M_2Rotate(F_2, ((-d1) * 180°), K) → N_2Rotate(G_2, ((-d1) * 180°), K) → O_2Rotate(H_2, ((-d1) * 180°), K) → P_2Rotate(I_2, ((-d1) * 180°), K) → Q_2Rotate(J_2, ((-d1) * 180°), K) → R_2Rotate(K_2, ((-d1) * 180°), K) → S_2Rotate(L_2, ((-d1) * 180°), K) → T_2Polygon(M_2, N_2, O_2, P_2, Q_2, R_2, S_2, T_2) → poly1'_3, m_2, n_2, o_2, p_2, q_2, r_2, s_2, t_2Vector(E, J) → uPoint(d) → U_2Point(f) → V_2Translate(K_1, v_{19}) → W_2Translate(L_1, v_{19}) → Z_2Translate(M_1, v_{19}) → A_3Translate(N_1, v_{19}) → B_3Translate(F_1, v_{19}) → C_3Translate(G_1, v_{19}) → D_3Translate(H_1, v_{19}) → E_3Translate(I_1, v_{19}) → F_3Translate(J_1, v_{19}) → G_3Polygon(W_2, Z_2, A_3, B_3, C_3, D_3, E_3, F_3, G_3) → poly2', w_2, z_2, a_3, b_3, c_3, d_3, e_3, f_3, g_3Translate(W, v_{19}) → W'_1Translate(Z, v_{19}) → Z'_1Translate(U_2, v_{19}) → H_3Polygon(W'_1, Z'_1, H_3) → poly1'_4, h_3, w'_1, z'_1Translate(J, g) → J'_1Translate(T, g) → T'_1Translate(V_2, g) → I_3Polygon(J'_1, T'_1, I_3) → poly3', i_3, j'_1, t'_1Polygon(E, L, E_2, L_2, K_2, J_2, I_2, H_2, G_2, F_2, K, V, N, U, M, E_1, D_1, C_1, B_1, A_1, Z, U_2, O, P, Q, R, S, T, V_2) → poly1, e_1, v_2, e_2, l_2, k_2, j_2, i_2, h_2, g_2, f_2, k, l, v_3, u_2, m, e_4, d_1, c_1, b_1, a_1, z, u_3, n, o, p, q, r, s, tRotate(E, (d3 * 180°), L) → E'Rotate(L, (d3 * 180°), L) → L'_1Rotate(N, (d3 * 180°), L) → N'_1Rotate(O, (d3 * 180°), L) → O'_1Rotate(P, (d3 * 180°), L) → P'_1Rotate(Q, (d3 * 180°), L) → Q'_1Rotate(R, (d3 * 180°), L) → R'_1Rotate(S, (d3 * 180°), L) → S'_1Rotate(T, (d3 * 180°), L) → T'_2Rotate(V_2, (d3 * 180°), L) → J_3Rotate(E_2, (d3 * 180°), L) → K_3Rotate(L_2, (d3 * 180°), L) → L_3Rotate(K_2, (d3 * 180°), L) → M_3Rotate(J_2, (d3 * 180°), L) → N_3Rotate(I_2, (d3 * 180°), L) → O_3Rotate(H_2, (d3 * 180°), L) → P_3Rotate(G_2, (d3 * 180°), L) → Q_3Rotate(F_2, (d3 * 180°), L) → R_3Rotate(K, (d3 * 180°), L) → K'Rotate(V, (d3 * 180°), L) → V'_1Rotate(U, (d3 * 180°), L) → U'_1Rotate(M, (d3 * 180°), L) → M'_1Rotate(E_1, (d3 * 180°), L) → S_3Rotate(D_1, (d3 * 180°), L) → T_3Rotate(C_1, (d3 * 180°), L) → U_3Rotate(B_1, (d3 * 180°), L) → V_3Rotate(A_1, (d3 * 180°), L) → W_3Rotate(Z, (d3 * 180°), L) → Z'_2Rotate(U_2, (d3 * 180°), L) → Z_3Polygon(E', L'_1, K_3, L_3, M_3, N_3, O_3, P_3, Q_3, R_3, K', V'_1, N'_1, U'_1, M'_1, S_3, T_3, U_3, V_3, W_3, Z'_2, Z_3, O'_1, P'_1, Q'_1, R'_1, S'_1, T'_2, J_3) → poly1'_5, e', j_3, k_3, l_3, m_3, n_3, o_3, p_3, q_3, r_3, k', l'_1, v'_1, u'_1, m'_1, s_3, t_3, u_4, v_4, w_3, z'_2, z_3, n'_1, o'_1, p'_1, q'_1, r'_1, s'_1, t'_2Rotate(L', (d3 * 180°), L) → L''Rotate(N', (d3 * 180°), L) → N''Rotate(O', (d3 * 180°), L) → O''Rotate(P', (d3 * 180°), L) → P''Rotate(Q', (d3 * 180°), L) → Q''Rotate(R', (d3 * 180°), L) → R''Rotate(S', (d3 * 180°), L) → S''Rotate(T', (d3 * 180°), L) → T''Rotate(J', (d3 * 180°), L) → J''Polygon(L'', N'', O'', P'', Q'', R'', S'', T'', J'') → poly1'', l'', n'', o'', p'', q'', r'', s'', t'', j''Rotate(J'_1, (d3 * 180°), L) → A_4Rotate(T'_1, (d3 * 180°), L) → B_4Rotate(I_3, (d3 * 180°), L) → C_4Polygon(A_4, B_4, C_4) → poly3'', c_4, a_4, b_4Rotate(W', (d3 * 180°), L) → W''Rotate(Z', (d3 * 180°), L) → Z''Rotate(O_1, (d3 * 180°), L) → D_4Rotate(P_1, (d3 * 180°), L) → E_4Rotate(Q_1, (d3 * 180°), L) → F_4Rotate(R_1, (d3 * 180°), L) → G_4Rotate(S_1, (d3 * 180°), L) → H_4Rotate(T_1, (d3 * 180°), L) → I_4Rotate(U_1, (d3 * 180°), L) → J_4Rotate(V_1, (d3 * 180°), L) → K_4Rotate(W_1, (d3 * 180°), L) → L_4Rotate(Z_1, (d3 * 180°), L) → M_4Rotate(A_2, (d3 * 180°), L) → N_4Rotate(B_2, (d3 * 180°), L) → O_4Rotate(C_2, (d3 * 180°), L) → P_4Rotate(D_2, (d3 * 180°), L) → Q_4Rotate(I', (d3 * 180°), L) → I''Polygon(W'', Z'', L_4, M_4, N_4, O_4, P_4, Q_4, I'', D_4, E_4, F_4, G_4, H_4, I_4, J_4, K_4) → poly2, w'', k_4, l_4, m_4, n_4, o_4, p_4, q_4, i'', z'', d_4, e_5, f_4, g_4, h_4, i_4, j_4Rotate(W_2, (d3 * 180°), L) → R_4Rotate(Z_2, (d3 * 180°), L) → S_4Rotate(A_3, (d3 * 180°), L) → T_4Rotate(B_3, (d3 * 180°), L) → U_4Rotate(C_3, (d3 * 180°), L) → V_4Rotate(D_3, (d3 * 180°), L) → W_4Rotate(E_3, (d3 * 180°), L) → Z_4Rotate(F_3, (d3 * 180°), L) → A_5Rotate(G_3, (d3 * 180°), L) → B_5Polygon(R_4, S_4, T_4, U_4, V_4, W_4, Z_4, A_5, B_5) → poly2'', r_4, s_4, t_4, u_5, v_5, w_4, z_4, a_5, b_5Rotate(M_2, (d3 * 180°), L) → C_5Rotate(N_2, (d3 * 180°), L) → D_5Rotate(O_2, (d3 * 180°), L) → E_5Rotate(P_2, (d3 * 180°), L) → F_5Rotate(Q_2, (d3 * 180°), L) → G_5Rotate(R_2, (d3 * 180°), L) → H_5Rotate(S_2, (d3 * 180°), L) → I_5Rotate(T_2, (d3 * 180°), L) → J_5Polygon(C_5, D_5, E_5, F_5, G_5, H_5, I_5, J_5) → poly3, c_5, d_5, e_6, f_5, g_5, h_5, i_5, j_5Rotate(M', (d3 * 180°), L) → M''Rotate(U', (d3 * 180°), L) → U''Rotate(V', (d3 * 180°), L) → V''Polygon(M'', U'', V'') → poly4, v'', m'', u''Rotate(W'_1, (d3 * 180°), L) → K_5Rotate(Z'_1, (d3 * 180°), L) → L_5Rotate(H_3, (d3 * 180°), L) → M_5Polygon(K_5, L_5, M_5) → poly5, m_5, k_5, l_5Rotate(E, (d4 * 180°), M) → E'_1Rotate(L, (d4 * 180°), M) → L'_2Rotate(N, (d4 * 180°), M) → N'_2Rotate(O, (d4 * 180°), M) → O'_2Rotate(P, (d4 * 180°), M) → P'_2Rotate(Q, (d4 * 180°), M) → Q'_2Rotate(R, (d4 * 180°), M) → R'_2Rotate(S, (d4 * 180°), M) → S'_2Rotate(T, (d4 * 180°), M) → T'_3Rotate(V_2, (d4 * 180°), M) → N_5Rotate(E_2, (d4 * 180°), M) → O_5Rotate(L_2, (d4 * 180°), M) → P_5Rotate(K_2, (d4 * 180°), M) → Q_5Rotate(J_2, (d4 * 180°), M) → R_5Rotate(I_2, (d4 * 180°), M) → S_5Rotate(H_2, (d4 * 180°), M) → T_5Rotate(G_2, (d4 * 180°), M) → U_5Rotate(F_2, (d4 * 180°), M) → V_5Rotate(K, (d4 * 180°), M) → K'_1Rotate(V, (d4 * 180°), M) → V'_2Rotate(U, (d4 * 180°), M) → U'_2Rotate(M, (d4 * 180°), M) → M'_2Rotate(E_1, (d4 * 180°), M) → W_5Rotate(D_1, (d4 * 180°), M) → Z_5Rotate(C_1, (d4 * 180°), M) → A_6Rotate(B_1, (d4 * 180°), M) → B_6Rotate(A_1, (d4 * 180°), M) → C_6Rotate(Z, (d4 * 180°), M) → Z'_3Rotate(U_2, (d4 * 180°), M) → D_6Polygon(E'_1, L'_2, O_5, P_5, Q_5, R_5, S_5, T_5, U_5, V_5, K'_1, V'_2, N'_2, U'_2, M'_2, W_5, Z_5, A_6, B_6, C_6, Z'_3, D_6, O'_2, P'_2, Q'_2, R'_2, S'_2, T'_3, N_5) → poly1'_6, e'_1, n_5, o_5, p_5, q_5, r_5, s_5, t_5, u_6, v_6, k'_1, l'_2, v'_2, u'_2, m'_2, w_5, z_5, a_6, b_6, c_6, z'_3, d_6, n'_2, o'_2, p'_2, q'_2, r'_2, s'_2, t'_3Rotate(L', (d4 * 180°), M) → L''_1Rotate(N', (d4 * 180°), M) → N''_1Rotate(O', (d4 * 180°), M) → O''_1Rotate(P', (d4 * 180°), M) → P''_1Rotate(Q', (d4 * 180°), M) → Q''_1Rotate(R', (d4 * 180°), M) → R''_1Rotate(S', (d4 * 180°), M) → S''_1Rotate(T', (d4 * 180°), M) → T''_1Rotate(J', (d4 * 180°), M) → J''_1Polygon(L''_1, N''_1, O''_1, P''_1, Q''_1, R''_1, S''_1, T''_1, J''_1) → poly1''_1, l''_1, n''_1, o''_1, p''_1, q''_1, r''_1, s''_1, t''_1, j''_1Rotate(J'_1, (d4 * 180°), M) → E_6Rotate(T'_1, (d4 * 180°), M) → F_6Rotate(I_3, (d4 * 180°), M) → G_6Polygon(E_6, F_6, G_6) → poly3''_1, g_6, e_7, f_6Rotate(M_2, (d4 * 180°), M) → H_6Rotate(N_2, (d4 * 180°), M) → I_6Rotate(O_2, (d4 * 180°), M) → J_6Rotate(P_2, (d4 * 180°), M) → K_6Rotate(Q_2, (d4 * 180°), M) → L_6Rotate(R_2, (d4 * 180°), M) → M_6Rotate(S_2, (d4 * 180°), M) → N_6Rotate(T_2, (d4 * 180°), M) → O_6Polygon(H_6, I_6, J_6, K_6, L_6, M_6, N_6, O_6) → poly6, h_6, i_6, j_6, k_6, l_6, m_6, n_6, o_6Rotate(W', (d4 * 180°), M) → W''_1Rotate(Z', (d4 * 180°), M) → Z''_1Rotate(O_1, (d4 * 180°), M) → P_6Rotate(P_1, (d4 * 180°), M) → Q_6Rotate(Q_1, (d4 * 180°), M) → R_6Rotate(R_1, (d4 * 180°), M) → S_6Rotate(S_1, (d4 * 180°), M) → T_6Rotate(T_1, (d4 * 180°), M) → U_6Rotate(U_1, (d4 * 180°), M) → V_6Rotate(V_1, (d4 * 180°), M) → W_6Rotate(W_1, (d4 * 180°), M) → Z_6Rotate(Z_1, (d4 * 180°), M) → A_7Rotate(A_2, (d4 * 180°), M) → B_7Rotate(B_2, (d4 * 180°), M) → C_7Rotate(C_2, (d4 * 180°), M) → D_7Rotate(D_2, (d4 * 180°), M) → E_7Rotate(I', (d4 * 180°), M) → I''_1Polygon(W''_1, Z''_1, Z_6, A_7, B_7, C_7, D_7, E_7, I''_1, P_6, Q_6, R_6, S_6, T_6, U_6, V_6, W_6) → poly7, w''_1, w_6, z_6, a_7, b_7, c_7, d_7, e_8, i''_1, z''_1, p_6, q_6, r_6, s_6, t_6, u_7, v_7Rotate(W_2, (d4 * 180°), M) → F_7Rotate(Z_2, (d4 * 180°), M) → G_7Rotate(A_3, (d4 * 180°), M) → H_7Rotate(B_3, (d4 * 180°), M) → I_7Rotate(C_3, (d4 * 180°), M) → J_7Rotate(D_3, (d4 * 180°), M) → K_7Rotate(E_3, (d4 * 180°), M) → L_7Rotate(F_3, (d4 * 180°), M) → M_7Rotate(G_3, (d4 * 180°), M) → N_7Polygon(F_7, G_7, H_7, I_7, J_7, K_7, L_7, M_7, N_7) → poly2''_1, f_7, g_7, h_7, i_7, j_7, k_7, l_7, m_7, n_7Rotate(M', (d4 * 180°), M) → M''_1Rotate(U', (d4 * 180°), M) → U''_1Rotate(V', (d4 * 180°), M) → V''_1Polygon(M''_1, U''_1, V''_1) → poly8, v''_1, m''_1, u''_1Rotate(W'_1, (d4 * 180°), M) → O_7Rotate(Z'_1, (d4 * 180°), M) → P_7Rotate(H_3, (d4 * 180°), M) → Q_7Polygon(O_7, P_7, Q_7) → poly9, q_7, o_7, p_7Translate(E', w) → E''Translate(L'_1, w) → R_7Translate(N'_1, w) → S_7Translate(O'_1, w) → T_7Translate(P'_1, w) → U_7Translate(Q'_1, w) → V_7Translate(R'_1, w) → W_7Translate(S'_1, w) → Z_7Translate(T'_2, w) → A_8Translate(J_3, w) → B_8Translate(K_3, w) → C_8Translate(L_3, w) → D_8Translate(M_3, w) → E_8Translate(N_3, w) → F_8Translate(O_3, w) → G_8Translate(P_3, w) → H_8Translate(Q_3, w) → I_8Translate(R_3, w) → J_8Translate(K', w) → K''Translate(V'_1, w) → K_8Translate(U'_1, w) → L_8Translate(M'_1, w) → M_8Translate(S_3, w) → N_8Translate(T_3, w) → O_8Translate(U_3, w) → P_8Translate(V_3, w) → Q_8Translate(W_3, w) → R_8Translate(Z'_2, w) → S_8Translate(Z_3, w) → T_8Polygon(E'', R_7, C_8, D_8, E_8, F_8, G_8, H_8, I_8, J_8, K'', K_8, S_7, L_8, M_8, N_8, O_8, P_8, Q_8, R_8, S_8, T_8, T_7, U_7, V_7, W_7, Z_7, A_8, B_8) → poly10, e'', b_8, c_8, d_8, e_9, f_8, g_8, h_8, i_8, j_8, k'', r_7, k_8, l_8, m_8, n_8, o_8, p_8, q_8, r_8, s_8, t_8, s_7, t_7, u_8, v_8, w_7, z_7, a_8Translate(L'', w) → L'''Translate(N'', w) → N'''Translate(O'', w) → O'''Translate(P'', w) → P'''Translate(Q'', w) → Q'''Translate(R'', w) → R'''Translate(S'', w) → S'''Translate(T'', w) → T'''Translate(J'', w) → J'''Polygon(L''', N''', O''', P''', Q''', R''', S''', T''', J''') → poly1''', l''', n''', o''', p''', q''', r''', s''', t''', j'''Translate(A_4, w) → U_8Translate(B_4, w) → V_8Segment(U_8, V_8) → hTranslate(A_4, w) → W_8Translate(B_4, w) → Z_8Translate(C_4, w) → A_9Polygon(W_8, Z_8, A_9) → poly3''', a_9, w_8, z_8Translate(W'', w) → W'''Translate(Z'', w) → Z'''Translate(D_4, w) → B_9Translate(E_4, w) → C_9Translate(F_4, w) → D_9Translate(G_4, w) → E_9Translate(H_4, w) → F_9Translate(I_4, w) → G_9Translate(J_4, w) → H_9Translate(K_4, w) → I_9Translate(L_4, w) → J_9Translate(M_4, w) → K_9Translate(N_4, w) → L_9Translate(O_4, w) → M_9Translate(P_4, w) → N_9Translate(Q_4, w) → O_9Translate(I'', w) → I'''Polygon(W''', Z''', J_9, K_9, L_9, M_9, N_9, O_9, I''', B_9, C_9, D_9, E_9, F_9, G_9, H_9, I_9) → poly2'_1, w''', i_9, j_9, k_9, l_9, m_9, n_9, o_9, i''', z''', b_9, c_9, d_9, e_{10}, f_9, g_9, h_9Translate(C_5, w) → P_9Translate(D_5, w) → Q_9Translate(E_5, w) → R_9Translate(F_5, w) → S_9Translate(G_5, w) → T_9Translate(H_5, w) → U_9Translate(I_5, w) → V_9Translate(J_5, w) → W_9Polygon(P_9, Q_9, R_9, S_9, T_9, U_9, V_9, W_9) → poly3'_1, p_9, q_9, r_9, s_9, t_9, u_9, v_9, w_9Translate(R_4, w) → Z_9Translate(S_4, w) → A_{10}Translate(T_4, w) → B_{10}Translate(U_4, w) → C_{10}Translate(V_4, w) → D_{10}Translate(W_4, w) → E_{10}Translate(Z_4, w) → F_{10}Translate(A_5, w) → G_{10}Translate(B_5, w) → H_{10}Polygon(Z_9, A_{10}, B_{10}, C_{10}, D_{10}, E_{10}, F_{10}, G_{10}, H_{10}) → poly2''', z_9, a_{10}, b_{10}, c_{10}, d_{10}, e_{11}, f_{10}, g_{10}, h_{10}Translate(M'', w) → M'''Translate(U'', w) → U'''Translate(V'', w) → V'''Polygon(M''', U''', V''') → poly4', v''', m''', u'''Translate(L', w) → L''_2Translate(N', w) → N''_2Translate(O', w) → O''_2Translate(P', w) → P''_2Translate(Q', w) → Q''_2Translate(R', w) → R''_2Translate(S', w) → S''_2Translate(T', w) → T''_2Translate(J', w) → J''_2Polygon(L''_2, N''_2, O''_2, P''_2, Q''_2, R''_2, S''_2, T''_2, J''_2) → poly1''_2, l''_2, n''_2, o''_2, p''_2, q''_2, r''_2, s''_2, t''_2, j''_2Translate(J'_1, w) → I_{10}Translate(T'_1, w) → J_{10}Translate(I_3, w) → K_{10}Polygon(I_{10}, J_{10}, K_{10}) → poly3''_2, k_{10}, i_{10}, j_{10}Translate(E, w) → E'_2Translate(L, w) → L'_3Translate(N, w) → N'_3Translate(O, w) → O'_3Translate(P, w) → P'_3Translate(Q, w) → Q'_3Translate(R, w) → R'_3Translate(S, w) → S'_3Translate(T, w) → T'_4Translate(V_2, w) → L_{10}Translate(E_2, w) → M_{10}Translate(L_2, w) → N_{10}Translate(K_2, w) → O_{10}Translate(J_2, w) → P_{10}Translate(I_2, w) → Q_{10}Translate(H_2, w) → R_{10}Translate(G_2, w) → S_{10}Translate(F_2, w) → T_{10}Translate(K, w) → K'_2Translate(V, w) → V'_3Translate(U, w) → U'_3Translate(M, w) → M'_3Translate(E_1, w) → U_{10}Translate(D_1, w) → V_{10}Translate(C_1, w) → W_{10}Translate(B_1, w) → Z_{10}Translate(A_1, w) → A_{11}Translate(Z, w) → Z'_4Translate(U_2, w) → B_{11}Polygon(E'_2, L'_3, M_{10}, N_{10}, O_{10}, P_{10}, Q_{10}, R_{10}, S_{10}, T_{10}, K'_2, V'_3, N'_3, U'_3, M'_3, U_{10}, V_{10}, W_{10}, Z_{10}, A_{11}, Z'_4, B_{11}, O'_3, P'_3, Q'_3, R'_3, S'_3, T'_4, L_{10}) → poly1'_7, e'_2, l_{10}, m_{10}, n_{10}, o_{10}, p_{10}, q_{10}, r_{10}, s_{10}, t_{10}, k'_2, l'_3, v'_3, u'_3, m'_3, u_{10}, v_{10}, w_{10}, z_{10}, a_{11}, z'_4, b_{11}, n'_3, o'_3, p'_3, q'_3, r'_3, s'_3, t'_4Translate(W'_1, w) → C_{11}Translate(Z'_1, w) → D_{11}Translate(H_3, w) → E_{11}Polygon(C_{11}, D_{11}, E_{11}) → poly11, e_{12}, c_{11}, d_{11}Translate(W', w) → W''_2Translate(Z', w) → Z''_2Translate(O_1, w) → F_{11}Translate(P_1, w) → G_{11}Translate(Q_1, w) → H_{11}Translate(R_1, w) → I_{11}Translate(S_1, w) → J_{11}Translate(T_1, w) → K_{11}Translate(U_1, w) → L_{11}Translate(V_1, w) → M_{11}Translate(W_1, w) → N_{11}Translate(Z_1, w) → O_{11}Translate(A_2, w) → P_{11}Translate(B_2, w) → Q_{11}Translate(C_2, w) → R_{11}Translate(D_2, w) → S_{11}Translate(I', w) → I''_2Polygon(W''_2, Z''_2, N_{11}, O_{11}, P_{11}, Q_{11}, R_{11}, S_{11}, I''_2, F_{11}, G_{11}, H_{11}, I_{11}, J_{11}, K_{11}, L_{11}, M_{11}) → poly12, w''_2, m_{11}, n_{11}, o_{11}, p_{11}, q_{11}, r_{11}, s_{11}, i''_2, z''_2, f_{11}, g_{11}, h_{11}, i_{11}, j_{11}, k_{11}, l_{11}Translate(W_2, w) → T_{11}Translate(Z_2, w) → U_{11}Translate(A_3, w) → V_{11}Translate(B_3, w) → W_{11}Translate(C_3, w) → Z_{11}Translate(D_3, w) → A_{12}Translate(E_3, w) → B_{12}Translate(F_3, w) → C_{12}Translate(G_3, w) → D_{12}Polygon(T_{11}, U_{11}, V_{11}, W_{11}, Z_{11}, A_{12}, B_{12}, C_{12}, D_{12}) → poly2''_2, t_{11}, u_{11}, v_{11}, w_{11}, z_{11}, a_{12}, b_{12}, c_{12}, d_{12}Translate(M_2, w) → E_{12}Translate(N_2, w) → F_{12}Translate(O_2, w) → G_{12}Translate(P_2, w) → H_{12}Translate(Q_2, w) → I_{12}Translate(R_2, w) → J_{12}Translate(S_2, w) → K_{12}Translate(T_2, w) → L_{12}Polygon(E_{12}, F_{12}, G_{12}, H_{12}, I_{12}, J_{12}, K_{12}, L_{12}) → poly13, e_{13}, f_{12}, g_{12}, h_{12}, i_{12}, j_{12}, k_{12}, l_{12}Translate(F_7, w) → M_{12}Translate(G_7, w) → N_{12}Translate(H_7, w) → O_{12}Translate(I_7, w) → P_{12}Translate(J_7, w) → Q_{12}Translate(K_7, w) → R_{12}Translate(L_7, w) → S_{12}Translate(M_7, w) → T_{12}Translate(N_7, w) → U_{12}Polygon(M_{12}, N_{12}, O_{12}, P_{12}, Q_{12}, R_{12}, S_{12}, T_{12}, U_{12}) → poly14, m_{12}, n_{12}, o_{12}, p_{12}, q_{12}, r_{12}, s_{12}, t_{12}, u_{12}Translate(H_6, w) → V_{12}Translate(I_6, w) → W_{12}Translate(J_6, w) → Z_{12}Translate(K_6, w) → A_{13}Translate(L_6, w) → B_{13}Translate(M_6, w) → C_{13}Translate(N_6, w) → D_{13}Translate(O_6, w) → E_{13}Polygon(V_{12}, W_{12}, Z_{12}, A_{13}, B_{13}, C_{13}, D_{13}, E_{13}) → poly6', v_{12}, w_{12}, z_{12}, a_{13}, b_{13}, c_{13}, d_{13}, e_{14}Translate(W''_1, w) → F_{13}Translate(Z''_1, w) → G_{13}Translate(P_6, w) → H_{13}Translate(Q_6, w) → I_{13}Translate(R_6, w) → J_{13}Translate(S_6, w) → K_{13}Translate(T_6, w) → L_{13}Translate(U_6, w) → M_{13}Translate(V_6, w) → N_{13}Translate(W_6, w) → O_{13}Translate(Z_6, w) → P_{13}Translate(A_7, w) → Q_{13}Translate(B_7, w) → R_{13}Translate(C_7, w) → S_{13}Translate(D_7, w) → T_{13}Translate(E_7, w) → U_{13}Translate(I''_1, w) → V_{13}Polygon(F_{13}, G_{13}, P_{13}, Q_{13}, R_{13}, S_{13}, T_{13}, U_{13}, V_{13}, H_{13}, I_{13}, J_{13}, K_{13}, L_{13}, M_{13}, N_{13}, O_{13}) → poly7', f_{13}, o_{13}, p_{13}, q_{13}, r_{13}, s_{13}, t_{13}, u_{13}, v_{13}, g_{13}, h_{13}, i_{13}, j_{13}, k_{13}, l_{13}, m_{13}, n_{13}Translate(E'_1, w) → W_{13}Translate(L'_2, w) → Z_{13}Translate(N'_2, w) → A_{14}Translate(O'_2, w) → B_{14}Translate(P'_2, w) → C_{14}Translate(Q'_2, w) → D_{14}Translate(R'_2, w) → E_{14}Translate(S'_2, w) → F_{14}Translate(T'_3, w) → G_{14}Translate(N_5, w) → H_{14}Translate(O_5, w) → I_{14}Translate(P_5, w) → J_{14}Translate(Q_5, w) → K_{14}Translate(R_5, w) → L_{14}Translate(S_5, w) → M_{14}Translate(T_5, w) → N_{14}Translate(U_5, w) → O_{14}Translate(V_5, w) → P_{14}Translate(K'_1, w) → Q_{14}Translate(V'_2, w) → R_{14}Translate(U'_2, w) → S_{14}Translate(M'_2, w) → T_{14}Translate(W_5, w) → U_{14}Translate(Z_5, w) → V_{14}Translate(A_6, w) → W_{14}Translate(B_6, w) → Z_{14}Translate(C_6, w) → A_{15}Translate(Z'_3, w) → B_{15}Translate(D_6, w) → C_{15}Polygon(W_{13}, Z_{13}, I_{14}, J_{14}, K_{14}, L_{14}, M_{14}, N_{14}, O_{14}, P_{14}, Q_{14}, R_{14}, A_{14}, S_{14}, T_{14}, U_{14}, V_{14}, W_{14}, Z_{14}, A_{15}, B_{15}, C_{15}, B_{14}, C_{14}, D_{14}, E_{14}, F_{14}, G_{14}, H_{14}) → poly15, w_{13}, h_{14}, i_{14}, j_{14}, k_{14}, l_{14}, m_{14}, n_{14}, o_{14}, p_{14}, q_{14}, z_{13}, r_{14}, s_{14}, t_{14}, u_{14}, v_{14}, w_{14}, z_{14}, a_{15}, b_{15}, c_{15}, a_{14}, b_{14}, c_{14}, d_{14}, e_{15}, f_{14}, g_{14}Translate(O_7, w) → D_{15}Translate(P_7, w) → E_{15}Translate(Q_7, w) → F_{15}Polygon(D_{15}, E_{15}, F_{15}) → poly9', f_{15}, d_{15}, e_{16}Translate(L''_1, w) → G_{15}Translate(N''_1, w) → H_{15}Translate(O''_1, w) → I_{15}Translate(P''_1, w) → J_{15}Translate(Q''_1, w) → K_{15}Translate(R''_1, w) → L_{15}Translate(S''_1, w) → M_{15}Translate(T''_1, w) → N_{15}Translate(J''_1, w) → O_{15}Polygon(G_{15}, H_{15}, I_{15}, J_{15}, K_{15}, L_{15}, M_{15}, N_{15}, O_{15}) → poly16, g_{15}, h_{15}, i_{15}, j_{15}, k_{15}, l_{15}, m_{15}, n_{15}, o_{15}Translate(E_6, w) → P_{15}Translate(F_6, w) → Q_{15}Translate(G_6, w) → R_{15}Polygon(P_{15}, Q_{15}, R_{15}) → poly17, r_{15}, p_{15}, q_{15}Translate(M''_1, w) → S_{15}Translate(U''_1, w) → T_{15}Translate(V''_1, w) → U_{15}Polygon(S_{15}, T_{15}, U_{15}) → poly8', u_{15}, s_{15}, t_{15}Translate(M', w) → M''_2Translate(U', w) → U''_2Translate(V', w) → V''_2Polygon(M''_2, U''_2, V''_2) → poly18, v''_2, m''_2, u''_2Rotate(E', (d6 * 180°), J) → E''_1Rotate(L'_1, (d6 * 180°), J) → V_{15}Rotate(N'_1, (d6 * 180°), J) → W_{15}Rotate(O'_1, (d6 * 180°), J) → Z_{15}Rotate(P'_1, (d6 * 180°), J) → A_{16}Rotate(Q'_1, (d6 * 180°), J) → B_{16}Rotate(R'_1, (d6 * 180°), J) → C_{16}Rotate(S'_1, (d6 * 180°), J) → D_{16}Rotate(T'_2, (d6 * 180°), J) → E_{16}Rotate(J_3, (d6 * 180°), J) → F_{16}Rotate(K_3, (d6 * 180°), J) → G_{16}Rotate(L_3, (d6 * 180°), J) → H_{16}Rotate(M_3, (d6 * 180°), J) → I_{16}Rotate(N_3, (d6 * 180°), J) → J_{16}Rotate(O_3, (d6 * 180°), J) → K_{16}Rotate(P_3, (d6 * 180°), J) → L_{16}Rotate(Q_3, (d6 * 180°), J) → M_{16}Rotate(R_3, (d6 * 180°), J) → N_{16}Rotate(K', (d6 * 180°), J) → K''_1Rotate(V'_1, (d6 * 180°), J) → O_{16}Rotate(U'_1, (d6 * 180°), J) → P_{16}Rotate(M'_1, (d6 * 180°), J) → Q_{16}Rotate(S_3, (d6 * 180°), J) → R_{16}Rotate(T_3, (d6 * 180°), J) → S_{16}Rotate(U_3, (d6 * 180°), J) → T_{16}Rotate(V_3, (d6 * 180°), J) → U_{16}Rotate(W_3, (d6 * 180°), J) → V_{16}Rotate(Z'_2, (d6 * 180°), J) → W_{16}Rotate(Z_3, (d6 * 180°), J) → Z_{16}Polygon(E''_1, V_{15}, G_{16}, H_{16}, I_{16}, J_{16}, K_{16}, L_{16}, M_{16}, N_{16}, K''_1, O_{16}, W_{15}, P_{16}, Q_{16}, R_{16}, S_{16}, T_{16}, U_{16}, V_{16}, W_{16}, Z_{16}, Z_{15}, A_{16}, B_{16}, C_{16}, D_{16}, E_{16}, F_{16}) → poly19, e''_1, f_{16}, g_{16}, h_{16}, i_{16}, j_{16}, k_{16}, l_{16}, m_{16}, n_{16}, k''_1, v_{15}, o_{16}, p_{16}, q_{16}, r_{16}, s_{16}, t_{16}, u_{16}, v_{16}, w_{16}, z_{16}, w_{15}, z_{15}, a_{16}, b_{16}, c_{16}, d_{16}, e_{17}Rotate(A_4, (d6 * 180°), J) → A_{17}Rotate(B_4, (d6 * 180°), J) → B_{17}Rotate(C_4, (d6 * 180°), J) → C_{17}Polygon(A_{17}, B_{17}, C_{17}) → poly3'''_1, c_{17}, a_{17}, b_{17}Rotate(L'', (d6 * 180°), J) → L'''_1Rotate(N'', (d6 * 180°), J) → N'''_1Rotate(O'', (d6 * 180°), J) → O'''_1Rotate(P'', (d6 * 180°), J) → P'''_1Rotate(Q'', (d6 * 180°), J) → Q'''_1Rotate(R'', (d6 * 180°), J) → R'''_1Rotate(S'', (d6 * 180°), J) → S'''_1Rotate(T'', (d6 * 180°), J) → T'''_1Rotate(J'', (d6 * 180°), J) → J'''_1Polygon(L'''_1, N'''_1, O'''_1, P'''_1, Q'''_1, R'''_1, S'''_1, T'''_1, J'''_1) → poly1'''_1, l'''_1, n'''_1, o'''_1, p'''_1, q'''_1, r'''_1, s'''_1, t'''_1, j'''_1Rotate(W'', (d6 * 180°), J) → W'''_1Rotate(Z'', (d6 * 180°), J) → Z'''_1Rotate(D_4, (d6 * 180°), J) → D_{17}Rotate(E_4, (d6 * 180°), J) → E_{17}Rotate(F_4, (d6 * 180°), J) → F_{17}Rotate(G_4, (d6 * 180°), J) → G_{17}Rotate(H_4, (d6 * 180°), J) → H_{17}Rotate(I_4, (d6 * 180°), J) → I_{17}Rotate(J_4, (d6 * 180°), J) → J_{17}Rotate(K_4, (d6 * 180°), J) → K_{17}Rotate(L_4, (d6 * 180°), J) → L_{17}Rotate(M_4, (d6 * 180°), J) → M_{17}Rotate(N_4, (d6 * 180°), J) → N_{17}Rotate(O_4, (d6 * 180°), J) → O_{17}Rotate(P_4, (d6 * 180°), J) → P_{17}Rotate(Q_4, (d6 * 180°), J) → Q_{17}Rotate(I'', (d6 * 180°), J) → I'''_1Polygon(W'''_1, Z'''_1, L_{17}, M_{17}, N_{17}, O_{17}, P_{17}, Q_{17}, I'''_1, D_{17}, E_{17}, F_{17}, G_{17}, H_{17}, I_{17}, J_{17}, K_{17}) → poly2'_2, w'''_1, k_{17}, l_{17}, m_{17}, n_{17}, o_{17}, p_{17}, q_{17}, i'''_1, z'''_1, d_{17}, e_{18}, f_{17}, g_{17}, h_{17}, i_{17}, j_{17}Rotate(C_5, (d6 * 180°), J) → R_{17}Rotate(D_5, (d6 * 180°), J) → S_{17}Rotate(E_5, (d6 * 180°), J) → T_{17}Rotate(F_5, (d6 * 180°), J) → U_{17}Rotate(G_5, (d6 * 180°), J) → V_{17}Rotate(H_5, (d6 * 180°), J) → W_{17}Rotate(I_5, (d6 * 180°), J) → Z_{17}Rotate(J_5, (d6 * 180°), J) → A_{18}Polygon(R_{17}, S_{17}, T_{17}, U_{17}, V_{17}, W_{17}, Z_{17}, A_{18}) → poly3'_2, r_{17}, s_{17}, t_{17}, u_{17}, v_{17}, w_{17}, z_{17}, a_{18}Rotate(R_4, (d6 * 180°), J) → B_{18}Rotate(S_4, (d6 * 180°), J) → C_{18}Rotate(T_4, (d6 * 180°), J) → D_{18}Rotate(U_4, (d6 * 180°), J) → E_{18}Rotate(V_4, (d6 * 180°), J) → F_{18}Rotate(W_4, (d6 * 180°), J) → G_{18}Rotate(Z_4, (d6 * 180°), J) → H_{18}Rotate(A_5, (d6 * 180°), J) → I_{18}Rotate(B_5, (d6 * 180°), J) → J_{18}Polygon(B_{18}, C_{18}, D_{18}, E_{18}, F_{18}, G_{18}, H_{18}, I_{18}, J_{18}) → poly2'''_1, b_{18}, c_{18}, d_{18}, e_{19}, f_{18}, g_{18}, h_{18}, i_{18}, j_{18}Rotate(M'', (d6 * 180°), J) → M'''_1Rotate(U'', (d6 * 180°), J) → U'''_1Rotate(V'', (d6 * 180°), J) → V'''_1Polygon(M'''_1, U'''_1, V'''_1) → poly4'_1, v'''_1, m'''_1, u'''_1Rotate(K_5, (d6 * 180°), J) → K_{18}Rotate(L_5, (d6 * 180°), J) → L_{18}Rotate(M_5, (d6 * 180°), J) → M_{18}Polygon(K_{18}, L_{18}, M_{18}) → poly5', m_{18}, k_{18}, l_{18}Rotate(E, (d6 * 180°), J) → E'_3Rotate(L, (d6 * 180°), J) → L'_4Rotate(N, (d6 * 180°), J) → N'_4Rotate(O, (d6 * 180°), J) → O'_4Rotate(P, (d6 * 180°), J) → P'_4Rotate(Q, (d6 * 180°), J) → Q'_4Rotate(R, (d6 * 180°), J) → R'_4Rotate(S, (d6 * 180°), J) → S'_4Rotate(T, (d6 * 180°), J) → T'_5Rotate(V_2, (d6 * 180°), J) → N_{18}Rotate(E_2, (d6 * 180°), J) → O_{18}Rotate(L_2, (d6 * 180°), J) → P_{18}Rotate(K_2, (d6 * 180°), J) → Q_{18}Rotate(J_2, (d6 * 180°), J) → R_{18}Rotate(I_2, (d6 * 180°), J) → S_{18}Rotate(H_2, (d6 * 180°), J) → T_{18}Rotate(G_2, (d6 * 180°), J) → U_{18}Rotate(F_2, (d6 * 180°), J) → V_{18}Rotate(K, (d6 * 180°), J) → K'_3Rotate(V, (d6 * 180°), J) → V'_4Rotate(U, (d6 * 180°), J) → U'_4Rotate(M, (d6 * 180°), J) → M'_4Rotate(E_1, (d6 * 180°), J) → W_{18}Rotate(D_1, (d6 * 180°), J) → Z_{18}Rotate(C_1, (d6 * 180°), J) → A_{19}Rotate(B_1, (d6 * 180°), J) → B_{19}Rotate(A_1, (d6 * 180°), J) → C_{19}Rotate(Z, (d6 * 180°), J) → Z'_5Rotate(U_2, (d6 * 180°), J) → D_{19}Polygon(E'_3, L'_4, O_{18}, P_{18}, Q_{18}, R_{18}, S_{18}, T_{18}, U_{18}, V_{18}, K'_3, V'_4, N'_4, U'_4, M'_4, W_{18}, Z_{18}, A_{19}, B_{19}, C_{19}, Z'_5, D_{19}, O'_4, P'_4, Q'_4, R'_4, S'_4, T'_5, N_{18}) → poly1'_8, e'_3, n_{18}, o_{18}, p_{18}, q_{18}, r_{18}, s_{18}, t_{18}, u_{18}, v_{18}, k'_3, l'_4, v'_4, u'_4, m'_4, w_{18}, z_{18}, a_{19}, b_{19}, c_{19}, z'_5, d_{19}, n'_4, o'_4, p'_4, q'_4, r'_4, s'_4, t'_5Rotate(L', (d6 * 180°), J) → L''_3Rotate(N', (d6 * 180°), J) → N''_3Rotate(O', (d6 * 180°), J) → O''_3Rotate(P', (d6 * 180°), J) → P''_3Rotate(Q', (d6 * 180°), J) → Q''_3Rotate(R', (d6 * 180°), J) → R''_3Rotate(S', (d6 * 180°), J) → S''_3Rotate(T', (d6 * 180°), J) → T''_3Rotate(J', (d6 * 180°), J) → J''_3Polygon(L''_3, N''_3, O''_3, P''_3, Q''_3, R''_3, S''_3, T''_3, J''_3) → poly1''_3, l''_3, n''_3, o''_3, p''_3, q''_3, r''_3, s''_3, t''_3, j''_3Rotate(J'_1, (d6 * 180°), J) → E_{19}Rotate(T'_1, (d6 * 180°), J) → F_{19}Rotate(I_3, (d6 * 180°), J) → G_{19}Polygon(E_{19}, F_{19}, G_{19}) → poly3''_3, g_{19}, e_{20}, f_{19}Rotate(M', (d6 * 180°), J) → M''_3Rotate(U', (d6 * 180°), J) → U''_3Rotate(V', (d6 * 180°), J) → V''_3Polygon(M''_3, U''_3, V''_3) → poly20, v''_3, m''_3, u''_3Rotate(W', (d6 * 180°), J) → W''_3Rotate(Z', (d6 * 180°), J) → Z''_3Rotate(O_1, (d6 * 180°), J) → H_{19}Rotate(P_1, (d6 * 180°), J) → I_{19}Rotate(Q_1, (d6 * 180°), J) → J_{19}Rotate(R_1, (d6 * 180°), J) → K_{19}Rotate(S_1, (d6 * 180°), J) → L_{19}Rotate(T_1, (d6 * 180°), J) → M_{19}Rotate(U_1, (d6 * 180°), J) → N_{19}Rotate(V_1, (d6 * 180°), J) → O_{19}Rotate(W_1, (d6 * 180°), J) → P_{19}Rotate(Z_1, (d6 * 180°), J) → Q_{19}Rotate(A_2, (d6 * 180°), J) → R_{19}Rotate(B_2, (d6 * 180°), J) → S_{19}Rotate(C_2, (d6 * 180°), J) → T_{19}Rotate(D_2, (d6 * 180°), J) → U_{19}Rotate(I', (d6 * 180°), J) → I''_3Polygon(W''_3, Z''_3, P_{19}, Q_{19}, R_{19}, S_{19}, T_{19}, U_{19}, I''_3, H_{19}, I_{19}, J_{19}, K_{19}, L_{19}, M_{19}, N_{19}, O_{19}) → poly21, w''_3, o_{19}, p_{19}, q_{19}, r_{19}, s_{19}, t_{19}, u_{19}, i''_3, z''_3, h_{19}, i_{19}, j_{19}, k_{19}, l_{19}, m_{19}, n_{19}Rotate(M_2, (d6 * 180°), J) → V_{19}Rotate(N_2, (d6 * 180°), J) → W_{19}Rotate(O_2, (d6 * 180°), J) → Z_{19}Rotate(P_2, (d6 * 180°), J) → A_{20}Rotate(Q_2, (d6 * 180°), J) → B_{20}Rotate(R_2, (d6 * 180°), J) → C_{20}Rotate(S_2, (d6 * 180°), J) → D_{20}Rotate(T_2, (d6 * 180°), J) → E_{20}Rotate(W_2, (d6 * 180°), J) → F_{20}Rotate(Z_2, (d6 * 180°), J) → G_{20}Rotate(A_3, (d6 * 180°), J) → H_{20}Rotate(B_3, (d6 * 180°), J) → I_{20}Rotate(C_3, (d6 * 180°), J) → J_{20}Rotate(D_3, (d6 * 180°), J) → K_{20}Rotate(E_3, (d6 * 180°), J) → L_{20}Rotate(F_3, (d6 * 180°), J) → M_{20}Rotate(G_3, (d6 * 180°), J) → N_{20}Polygon(F_{20}, G_{20}, H_{20}, I_{20}, J_{20}, K_{20}, L_{20}, M_{20}, N_{20}) → poly2''_3, f_{20}, g_{20}, h_{20}, i_{20}, j_{20}, k_{20}, l_{20}, m_{20}, n_{20}Rotate(W'_1, (d6 * 180°), J) → O_{20}Rotate(Z'_1, (d6 * 180°), J) → P_{20}Rotate(H_3, (d6 * 180°), J) → Q_{20}Polygon(O_{20}, P_{20}, Q_{20}) → poly23, q_{20}, o_{20}, p_{20}Rotate(E'_1, (d6 * 180°), J) → R_{20}Rotate(L'_2, (d6 * 180°), J) → S_{20}Rotate(N'_2, (d6 * 180°), J) → T_{20}Rotate(O'_2, (d6 * 180°), J) → U_{20}Rotate(P'_2, (d6 * 180°), J) → V_{20}Rotate(Q'_2, (d6 * 180°), J) → W_{20}Rotate(R'_2, (d6 * 180°), J) → Z_{20}Rotate(S'_2, (d6 * 180°), J) → A_{21}Rotate(T'_3, (d6 * 180°), J) → B_{21}Rotate(N_5, (d6 * 180°), J) → C_{21}Rotate(O_5, (d6 * 180°), J) → D_{21}Rotate(P_5, (d6 * 180°), J) → E_{21}Rotate(Q_5, (d6 * 180°), J) → F_{21}Rotate(R_5, (d6 * 180°), J) → G_{21}Rotate(S_5, (d6 * 180°), J) → H_{21}Rotate(T_5, (d6 * 180°), J) → I_{21}Rotate(U_5, (d6 * 180°), J) → J_{21}Rotate(V_5, (d6 * 180°), J) → K_{21}Rotate(K'_1, (d6 * 180°), J) → L_{21}Rotate(V'_2, (d6 * 180°), J) → M_{21}Rotate(U'_2, (d6 * 180°), J) → N_{21}Rotate(M'_2, (d6 * 180°), J) → O_{21}Rotate(W_5, (d6 * 180°), J) → P_{21}Rotate(Z_5, (d6 * 180°), J) → Q_{21}Rotate(A_6, (d6 * 180°), J) → R_{21}Rotate(B_6, (d6 * 180°), J) → S_{21}Rotate(C_6, (d6 * 180°), J) → T_{21}Rotate(Z'_3, (d6 * 180°), J) → U_{21}Rotate(D_6, (d6 * 180°), J) → V_{21}Polygon(R_{20}, S_{20}, D_{21}, E_{21}, F_{21}, G_{21}, H_{21}, I_{21}, J_{21}, K_{21}, L_{21}, M_{21}, T_{20}, N_{21}, O_{21}, P_{21}, Q_{21}, R_{21}, S_{21}, T_{21}, U_{21}, V_{21}, U_{20}, V_{20}, W_{20}, Z_{20}, A_{21}, B_{21}, C_{21}) → poly24, r_{20}, c_{21}, d_{21}, e_{22}, f_{21}, g_{21}, h_{21}, i_{21}, j_{21}, k_{21}, l_{21}, s_{20}, m_{21}, n_{21}, o_{21}, p_{21}, q_{21}, r_{21}, s_{21}, t_{21}, u_{21}, v_{21}, t_{20}, u_{20}, v_{20}, w_{20}, z_{20}, a_{21}, b_{21}Rotate(L''_1, (d6 * 180°), J) → W_{21}Rotate(N''_1, (d6 * 180°), J) → Z_{21}Rotate(O''_1, (d6 * 180°), J) → A_{22}Rotate(P''_1, (d6 * 180°), J) → B_{22}Rotate(Q''_1, (d6 * 180°), J) → C_{22}Rotate(R''_1, (d6 * 180°), J) → D_{22}Rotate(S''_1, (d6 * 180°), J) → E_{22}Rotate(T''_1, (d6 * 180°), J) → F_{22}Rotate(J''_1, (d6 * 180°), J) → G_{22}Polygon(W_{21}, Z_{21}, A_{22}, B_{22}, C_{22}, D_{22}, E_{22}, F_{22}, G_{22}) → poly25, w_{21}, z_{21}, a_{22}, b_{22}, c_{22}, d_{22}, e_{23}, f_{22}, g_{22}Rotate(E_6, (d6 * 180°), J) → H_{22}Rotate(F_6, (d6 * 180°), J) → I_{22}Rotate(G_6, (d6 * 180°), J) → J_{22}Polygon(H_{22}, I_{22}, J_{22}) → poly26, j_{22}, h_{22}, i_{22}Rotate(O_7, (d6 * 180°), J) → K_{22}Rotate(P_7, (d6 * 180°), J) → L_{22}Rotate(Q_7, (d6 * 180°), J) → M_{22}Polygon(K_{22}, L_{22}, M_{22}) → poly9'_1, m_{22}, k_{22}, l_{22}Rotate(M''_1, (d6 * 180°), J) → N_{22}Rotate(U''_1, (d6 * 180°), J) → O_{22}Rotate(V''_1, (d6 * 180°), J) → P_{22}Polygon(N_{22}, O_{22}, P_{22}) → poly8'_1, p_{22}, n_{22}, o_{22}Rotate(W''_1, (d6 * 180°), J) → Q_{22}Rotate(Z''_1, (d6 * 180°), J) → R_{22}Rotate(P_6, (d6 * 180°), J) → S_{22}Rotate(Q_6, (d6 * 180°), J) → T_{22}Rotate(R_6, (d6 * 180°), J) → U_{22}Rotate(S_6, (d6 * 180°), J) → V_{22}Rotate(T_6, (d6 * 180°), J) → W_{22}Rotate(U_6, (d6 * 180°), J) → Z_{22}Rotate(V_6, (d6 * 180°), J) → A_{23}Rotate(W_6, (d6 * 180°), J) → B_{23}Rotate(Z_6, (d6 * 180°), J) → C_{23}Rotate(A_7, (d6 * 180°), J) → D_{23}Rotate(B_7, (d6 * 180°), J) → E_{23}Rotate(C_7, (d6 * 180°), J) → F_{23}Rotate(D_7, (d6 * 180°), J) → G_{23}Rotate(E_7, (d6 * 180°), J) → H_{23}Rotate(I''_1, (d6 * 180°), J) → I_{23}Polygon(Q_{22}, R_{22}, C_{23}, D_{23}, E_{23}, F_{23}, G_{23}, H_{23}, I_{23}, S_{22}, T_{22}, U_{22}, V_{22}, W_{22}, Z_{22}, A_{23}, B_{23}) → poly7'_1, q_{22}, b_{23}, c_{23}, d_{23}, e_{24}, f_{23}, g_{23}, h_{23}, i_{23}, r_{22}, s_{22}, t_{22}, u_{22}, v_{22}, w_{22}, z_{22}, a_{23}Rotate(F_7, (d6 * 180°), J) → J_{23}Rotate(G_7, (d6 * 180°), J) → K_{23}Rotate(H_7, (d6 * 180°), J) → L_{23}Rotate(I_7, (d6 * 180°), J) → M_{23}Rotate(J_7, (d6 * 180°), J) → N_{23}Rotate(K_7, (d6 * 180°), J) → O_{23}Rotate(L_7, (d6 * 180°), J) → P_{23}Rotate(M_7, (d6 * 180°), J) → Q_{23}Rotate(N_7, (d6 * 180°), J) → R_{23}Polygon(J_{23}, K_{23}, L_{23}, M_{23}, N_{23}, O_{23}, P_{23}, Q_{23}, R_{23}) → poly27, j_{23}, k_{23}, l_{23}, m_{23}, n_{23}, o_{23}, p_{23}, q_{23}, r_{23}Rotate(H_6, (d6 * 180°), J) → S_{23}Rotate(I_6, (d6 * 180°), J) → T_{23}Rotate(J_6, (d6 * 180°), J) → U_{23}Rotate(K_6, (d6 * 180°), J) → V_{23}Rotate(L_6, (d6 * 180°), J) → W_{23}Rotate(M_6, (d6 * 180°), J) → Z_{23}Rotate(N_6, (d6 * 180°), J) → A_{24}Rotate(O_6, (d6 * 180°), J) → B_{24}Rotate(M_2, (d6 * 180°), J) → C_{24}Rotate(N_2, (d6 * 180°), J) → D_{24}Rotate(O_2, (d6 * 180°), J) → E_{24}Rotate(P_2, (d6 * 180°), J) → F_{24}Rotate(Q_2, (d6 * 180°), J) → G_{24}Rotate(R_2, (d6 * 180°), J) → H_{24}Rotate(S_2, (d6 * 180°), J) → I_{24}Rotate(T_2, (d6 * 180°), J) → J_{24}Polygon(C_{24}, D_{24}, E_{24}, F_{24}, G_{24}, H_{24}, I_{24}, J_{24}) → poly22, c_{24}, d_{24}, e_{21}, f_{24}, g_{24}, h_{24}, i_{24}, j_{24}Rotate(H_6, (d6 * 180°), J) → K_{24}Rotate(I_6, (d6 * 180°), J) → L_{24}Rotate(J_6, (d6 * 180°), J) → M_{24}Rotate(K_6, (d6 * 180°), J) → N_{24}Rotate(L_6, (d6 * 180°), J) → O_{24}Rotate(M_6, (d6 * 180°), J) → P_{24}Rotate(N_6, (d6 * 180°), J) → Q_{24}Rotate(O_6, (d6 * 180°), J) → R_{24}Polygon(K_{24}, L_{24}, M_{24}, N_{24}, O_{24}, P_{24}, Q_{24}, R_{24}) → poly6'_1, k_{24}, l_{24}, m_{24}, n_{24}, o_{24}, p_{24}, q_{24}, r_{24}Midpoint(I, K) → S_{24}Mirror(S_{24}, K) → U_{24}Mirror(K, U_{24}) → K'_4Mirror(S_{24}, I) → V_{24}Mirror(I, V_{24}) → I'_1Mirror(L, E) → L'_5Mirror(E, L'_5) → E'_4Mirror(L'_5, E'_4) → W_{24}Mirror(L, J) → L'_6Mirror(K, U_{24}) → K'_5Mirror(K, J) → K'_6Mirror(S_{24}, L) → Z_{24}Mirror(E, V_{24}) → E'_5Mirror(V_{24}, L'_5) → A_{25}Mirror(L'_5, V_{24}) → B_{25}Mirror(E, I) → E'_6Mirror(L, S_{24}) → L'_7Mirror(J, K) → J'_2Mirror(V_{24}, B_{25}) → C_{25}Mirror(I, E'_6) → I'_2Mirror(S_{24}, L'_7) → D_{25}Mirror(L'_6, U_{24}) → E_{25}Mirror(Z_{24}, K'_6) → F_{25}Mirror(J, L'_6) → J'_3Mirror(U_{24}, K'_4) → G_{25}Mirror(J'_2, E_{25}) → H_{25}Mirror(K'_6, Z_{24}) → I_{25}Vector(I, I_{25}) → j_1Vector(I, K) → k_1
AI 绘图提示语参考
请绘制一个由几何变换生成的马赛克图案。图案包含多个对称的多边形,通过旋转和反射操作组合而成。构造步骤:首先确定一些参数,然后绘制线段并找出它们的交点。接着,将这些交点及相关点进行旋转和反射,生成新的点。最后,绘制多边形并连接这些点,形成复杂的镶嵌图案。图案应具有对称性和周期性,类似于马赛克设计。
以上提示语为根据原始绘图命令整理而来,仅供参考。