周期性铺砖的对称性探索
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①本范例演示如何发现周期性铺砖的对称性;②涉及核心数学概念:对称性、平行四边形、矩形、菱形、正方形或六边形格子的基本形状;③作图要点:运用了Polygon(多边形)、LineBisector(角平分线)、Intersect(相交)、Point(点)、Line(线)、Mirror(镜像)、Segment(线段)、Rotate(旋转)、Vector(向量)、Translate(平移)等GeoGebra命令和对象;④适合高中数学教学或几何学习,用于理解和实践对称性与铺砖模式。
GeoGebra 命令及参数
Polygon(A, B, 6) → veelhoek1, a, F, b, c, d, e, f, C, D, ELineBisector(d) → gLineBisector(c) → hIntersect(g, h) → GPolygon(F, G, A) → veelhoek2, a_1, f_1, g_1Point(f) → HPoint(f_1) → IPolygon(H, A, I) → veelhoek3, i, h_1, a_2Line(D, A) → jMirror(F, j) → F'Mirror(G, j) → G'Mirror(A, j) → A'Polygon(F', G', A') → veelhoek2', a', f', g'Mirror(H, j) → H'Mirror(A, j) → A'_1Mirror(I, j) → I'Polygon(H', A'_1, I') → veelhoek3', i', h', a'_1Mirror(F, j) → F'_1Mirror(A, j) → A'_2Segment(F'_1, A'_2) → f'_1Rotate(F, 120*°, G) → F'_2Rotate(G, 120*°, G) → G'_1Rotate(A, 120*°, G) → A'_3Polygon(F'_2, G'_1, A'_3) → veelhoek2'_1, a'_3, f'_2, g'_1Rotate(H, 120*°, G) → H'_1Rotate(A, 120*°, G) → A'_4Rotate(I, 120*°, G) → I'_1Polygon(H'_1, A'_4, I'_1) → veelhoek3'_1, i'_1, h'_1, a'_4Rotate(F', 120*°, G) → F''Rotate(G', 120*°, G) → G''Rotate(A', 120*°, G) → A''Polygon(F'', G'', A'') → veelhoek2'', a'', f'', g''Rotate(H', 120*°, G) → H''Rotate(A'_1, 120*°, G) → JRotate(I', 120*°, G) → I''Polygon(H'', J, I'') → veelhoek3'', i'', h'', j_1Rotate(F, 120*°, G) → F'_3Rotate(A, 120*°, G) → A'_5Segment(F'_3, A'_5) → f'_3Rotate(A, 120*°, G) → A'_6Rotate(B, 120*°, G) → B'Segment(A'_6, B') → a'_2Rotate(F'_1, 120*°, G) → KRotate(A'_2, 120*°, G) → LSegment(K, L) → kRotate(F'_2, 120*°, G) → MRotate(G'_1, 120*°, G) → NRotate(A'_3, 120*°, G) → OPolygon(M, N, O) → veelhoek4, o, m, nRotate(H'_1, 120*°, G) → PRotate(A'_4, 120*°, G) → QRotate(I'_1, 120*°, G) → RPolygon(P, Q, R) → veelhoek5, r, p, qRotate(F'', 120*°, G) → F'''Rotate(G'', 120*°, G) → G'''Rotate(A'', 120*°, G) → A'''Polygon(F''', G''', A''') → veelhoek2''', a''', f''', g'''Rotate(H'', 120*°, G) → H'''Rotate(J, 120*°, G) → J'Rotate(I'', 120*°, G) → I'''Polygon(H''', J', I''') → veelhoek3''', i''', h''', j'Rotate(C, 120*°, G) → C'Rotate(D, 120*°, G) → D'Segment(C', D') → c'Rotate(B, 120*°, G) → B'_1Rotate(C, 120*°, G) → C'_1Segment(B'_1, C'_1) → b'Rotate(F', 120*°, G) → F''_1Rotate(G', 120*°, G) → G''_1Segment(F''_1, G''_1) → a''_1Rotate(F'_3, 120*°, G) → SRotate(A'_5, 120*°, G) → TSegment(S, T) → lRotate(A'_6, 120*°, G) → URotate(B', 120*°, G) → B''Segment(U, B'') → sRotate(K, 120*°, G) → K'Rotate(L, 120*°, G) → L'Segment(K', L') → k'Rotate(H', 120*°, G) → H''_1Rotate(F'_1, 120*°, G) → VVector(D, F) → uVector(B, F) → vTranslate(veelhoek1, u) → veelhoek1'Translate(F, u) → F'_4Translate(G, u) → G'_2Translate(A, u) → A'_7Polygon(F'_4, G'_2, A'_7) → veelhoek2'_2, a'_7, f'_4, g'_2Translate(H, u) → H'_2Translate(A, u) → A'_8Translate(I, u) → I'_2Polygon(H'_2, A'_8, I'_2) → veelhoek3'_2, i'_2, h'_2, a'_8Translate(F', u) → F''_2Translate(G', u) → G''_2Translate(A', u) → A''_1Polygon(F''_2, G''_2, A''_1) → veelhoek2''_1, a''_2, f''_2, g''_2Translate(H', u) → H''_2Translate(A'_1, u) → WTranslate(I', u) → I''_1Polygon(H''_2, W, I''_1) → veelhoek3''_1, i''_1, h''_2, wTranslate(F'_2, u) → ZTranslate(G'_1, u) → A_1Translate(A'_3, u) → B_1Polygon(Z, A_1, B_1) → veelhoek6, b_1, z, a_3Translate(H'_1, u) → C_1Translate(A'_4, u) → D_1Translate(I'_1, u) → E_1Polygon(C_1, D_1, E_1) → veelhoek7, e_1, c_1, d_1Translate(F'', u) → F'''_1Translate(G'', u) → G'''_1Translate(A'', u) → A'''_1Polygon(F'''_1, G'''_1, A'''_1) → veelhoek2'''_1, a'''_1, f'''_1, g'''_1Translate(H'', u) → H'''_1Translate(J, u) → J'_1Translate(I'', u) → I'''_1Polygon(H'''_1, J'_1, I'''_1) → veelhoek3'''_1, i'''_1, h'''_1, j'_1Translate(M, u) → M'Translate(N, u) → N'Translate(O, u) → O'Polygon(M', N', O') → veelhoek4', o', m', n'Translate(P, u) → P'Translate(Q, u) → Q'Translate(R, u) → R'Polygon(P', Q', R') → veelhoek5', r', p', q'Translate(F''', u) → F_1Translate(G''', u) → G_1Translate(A''', u) → H_1Polygon(F_1, G_1, H_1) → veelhoek8, h_2, f_2, g_2Translate(H''', u) → I_1Translate(J', u) → J''Translate(I''', u) → J_1Polygon(I_1, J'', J_1) → veelhoek9, j_2, i_1, j''Translate(F'_1, u) → K_1Translate(A'_2, u) → L_1Segment(K_1, L_1) → tTranslate(F'_3, u) → M_1Translate(A'_5, u) → N_1Segment(M_1, N_1) → k_1Translate(A'_6, u) → O_1Translate(B', u) → B''_1Segment(O_1, B''_1) → l_1Translate(K, u) → K'_1Translate(L, u) → L'_1Segment(K'_1, L'_1) → k'_1Translate(C', u) → C''Translate(D', u) → D''Segment(C'', D'') → c''Translate(B'_1, u) → P_1Translate(C'_1, u) → Q_1Segment(P_1, Q_1) → b''Translate(F''_1, u) → R_1Translate(G''_1, u) → S_1Segment(R_1, S_1) → m_1Translate(S, u) → S'Translate(T, u) → T'Segment(S', T') → l'Translate(U, u) → U'Translate(B'', u) → B'''Segment(U', B''') → s'Translate(K', u) → K''Translate(L', u) → L''Segment(K'', L'') → k''Translate(v, u) → v'Translate(H''_1, u) → T_1Translate(V, u) → V'Translate(veelhoek1, v') → veelhoek1'_1Translate(F, v') → F'_5Translate(G, v') → G'_3Translate(A, v') → A'_9Polygon(F'_5, G'_3, A'_9) → veelhoek2'_3, a'_9, f'_5, g'_3Translate(H, v') → H'_3Translate(A, v') → A'_{10}Translate(I, v') → I'_3Polygon(H'_3, A'_{10}, I'_3) → veelhoek3'_3, i'_3, h'_3, a'_{10}Translate(F', v') → F''_3Translate(G', v') → G''_3Translate(A', v') → A''_2Polygon(F''_3, G''_3, A''_2) → veelhoek2''_2, a''_3, f''_3, g''_3Translate(H', v') → H''_3Translate(A'_1, v') → U_1Translate(I', v') → I''_2Polygon(H''_3, U_1, I''_2) → veelhoek3''_2, i''_2, h''_3, u_1Translate(F'_2, v') → V_1Translate(G'_1, v') → W_1Translate(A'_3, v') → Z_1Polygon(V_1, W_1, Z_1) → veelhoek10, z_1, v_1, w_1Translate(H'_1, v') → A_2Translate(A'_4, v') → B_2Translate(I'_1, v') → C_2Polygon(A_2, B_2, C_2) → veelhoek11, c_2, a_4, b_2Translate(F'', v') → F'''_2Translate(G'', v') → G'''_2Translate(A'', v') → A'''_2Polygon(F'''_2, G'''_2, A'''_2) → veelhoek2'''_2, a'''_2, f'''_2, g'''_2Translate(H'', v') → H'''_2Translate(J, v') → J'_2Translate(I'', v') → I'''_2Polygon(H'''_2, J'_2, I'''_2) → veelhoek3'''_2, i'''_2, h'''_2, j'_2Translate(M, v') → M'_1Translate(N, v') → N'_1Translate(O, v') → O'_1Polygon(M'_1, N'_1, O'_1) → veelhoek4'_1, o'_1, m'_1, n'_1Translate(P, v') → P'_1Translate(Q, v') → Q'_1Translate(R, v') → R'_1Polygon(P'_1, Q'_1, R'_1) → veelhoek5'_1, r'_1, p'_1, q'_1Translate(F''', v') → D_2Translate(G''', v') → E_2Translate(A''', v') → F_2Polygon(D_2, E_2, F_2) → veelhoek12, f_3, d_2, e_2Translate(H''', v') → G_2Translate(J', v') → J''_1Translate(I''', v') → H_2Polygon(G_2, J''_1, H_2) → veelhoek13, h_3, g_3, j''_1Translate(H'''_1, v') → I_2Translate(J'_1, v') → J_2Translate(F'_1, v') → L_2Translate(A'_2, v') → M_2Segment(L_2, M_2) → n_1Translate(F'_3, v') → N_2Translate(A'_5, v') → O_2Segment(N_2, O_2) → p_1Translate(A'_6, v') → P_2Translate(B', v') → B''_2Segment(P_2, B''_2) → q_1Translate(K, v') → K'_2Translate(L, v') → L'_2Segment(K'_2, L'_2) → k'_2Translate(C', v') → C''_1Translate(D', v') → D''_1Segment(C''_1, D''_1) → c''_1Translate(B'_1, v') → Q_2Translate(C'_1, v') → R_2Segment(Q_2, R_2) → b''_1Translate(F''_1, v') → S_2Translate(G''_1, v') → T_2Segment(S_2, T_2) → r_1Translate(S, v') → S'_1Translate(T, v') → T'_1Segment(S'_1, T'_1) → l'_1Translate(U, v') → U'_1Translate(B'', v') → B'''_1Segment(U'_1, B'''_1) → s'_1Translate(K', v') → K''_1Translate(L', v') → L''_1Segment(K''_1, L''_1) → k''_1Translate(D_1, v') → U_2Translate(A'''_1, v') → W_2Translate(F'''_1, v') → Z_2Segment(W_2, Z_2) → t_1Translate(O_1, v') → A_3Translate(B''_1, v') → B_3Segment(A_3, B_3) → l_2Translate(K'_1, v') → C_3Translate(L'_1, v') → D_3Segment(C_3, D_3) → m_2Translate(H''_1, v') → E_3Translate(V, v') → V'_1Translate(B_1, v') → F_3Translate(M', v') → M''Translate(N_1, v') → G_3Translate(P_1, v') → H_3Translate(R_1, v') → I_3Translate(S', v') → S''Translate(T_1, v') → J_3Translate(V', v') → V''Vector(C, O') → s_1Translate(veelhoek1, s_1) → veelhoek1'_2Translate(F, s_1) → F'_6Translate(G, s_1) → G'_4Translate(A, s_1) → A'_{11}Polygon(F'_6, G'_4, A'_{11}) → veelhoek2'_4, a'_{11}, f'_6, g'_4Translate(H, s_1) → H'_4Translate(A, s_1) → A'_{12}Translate(I, s_1) → I'_4Polygon(H'_4, A'_{12}, I'_4) → veelhoek3'_4, i'_4, h'_4, a'_{12}Translate(F', s_1) → F''_4Translate(G', s_1) → G''_4Translate(A', s_1) → A''_3Polygon(F''_4, G''_4, A''_3) → veelhoek2''_3, a''_4, f''_4, g''_4Translate(H', s_1) → H''_4Translate(A'_1, s_1) → K_2Translate(I', s_1) → I''_3Polygon(H''_4, K_2, I''_3) → veelhoek3''_3, i''_3, h''_4, k_2Translate(F'_2, s_1) → V_2Translate(G'_1, s_1) → K_3Translate(A'_3, s_1) → L_3Polygon(V_2, K_3, L_3) → veelhoek14, l_3, v_2, k_3Translate(H'_1, s_1) → M_3Translate(A'_4, s_1) → N_3Translate(I'_1, s_1) → O_3Polygon(M_3, N_3, O_3) → veelhoek15, o_3, m_3, n_3Translate(F'', s_1) → F'''_3Translate(G'', s_1) → G'''_3Translate(A'', s_1) → A'''_3Polygon(F'''_3, G'''_3, A'''_3) → veelhoek2'''_3, a'''_3, f'''_3, g'''_3Translate(H'', s_1) → H'''_3Translate(J, s_1) → J'_3Translate(I'', s_1) → I'''_3Polygon(H'''_3, J'_3, I'''_3) → veelhoek3'''_3, i'''_3, h'''_3, j'_3Translate(M, s_1) → M'_2Translate(N, s_1) → N'_2Translate(O, s_1) → O'_2Polygon(M'_2, N'_2, O'_2) → veelhoek4'_2, o'_2, m'_2, n'_2Translate(P, s_1) → P'_2Translate(Q, s_1) → Q'_2Translate(R, s_1) → R'_2Polygon(P'_2, Q'_2, R'_2) → veelhoek5'_2, r'_2, p'_2, q'_2Translate(F''', s_1) → P_3Translate(G''', s_1) → Q_3Translate(A''', s_1) → R_3Polygon(P_3, Q_3, R_3) → veelhoek16, r_3, p_3, q_3Translate(H''', s_1) → S_3Translate(J', s_1) → J''_2Translate(I''', s_1) → T_3Polygon(S_3, J''_2, T_3) → veelhoek17, t_3, s_3, j''_2Translate(veelhoek1', s_1) → veelhoek1''Translate(F'_4, s_1) → U_3Translate(G'_2, s_1) → V_3Translate(A'_7, s_1) → W_3Polygon(U_3, V_3, W_3) → veelhoek18, w_3, u_3, v_3Translate(H'_2, s_1) → Z_3Translate(A'_8, s_1) → A_4Translate(I'_2, s_1) → B_4Polygon(Z_3, A_4, B_4) → veelhoek19, b_4, z_3, a_5Translate(F''_2, s_1) → C_4Translate(G''_2, s_1) → D_4Translate(A''_1, s_1) → E_4Polygon(C_4, D_4, E_4) → veelhoek20, e_4, c_4, d_4Translate(H''_2, s_1) → F_4Translate(W, s_1) → W'Translate(I''_1, s_1) → G_4Polygon(F_4, W', G_4) → veelhoek21, g_4, f_4, w'Translate(Z, s_1) → Z'Translate(A_1, s_1) → H_4Translate(B_1, s_1) → I_4Polygon(Z', H_4, I_4) → veelhoek6', i_4, z', h_4Translate(C_1, s_1) → J_4Translate(D_1, s_1) → K_4Translate(E_1, s_1) → L_4Polygon(J_4, K_4, L_4) → veelhoek7', l_4, j_4, k_4Translate(F'''_1, s_1) → M_4Translate(G'''_1, s_1) → N_4Translate(A'''_1, s_1) → O_4Polygon(M_4, N_4, O_4) → veelhoek22, o_4, m_4, n_4Translate(H'''_1, s_1) → P_4Translate(J'_1, s_1) → Q_4Translate(I'''_1, s_1) → R_4Polygon(P_4, Q_4, R_4) → veelhoek23, r_4, p_4, q_4Translate(M', s_1) → M''_1Translate(N', s_1) → N''Translate(O', s_1) → O''Polygon(M''_1, N'', O'') → veelhoek4'', o'', m''_1, n''Translate(P', s_1) → P''Translate(Q', s_1) → Q''Translate(R', s_1) → R''Polygon(P'', Q'', R'') → veelhoek5'', r'', p'', q''Translate(F_1, s_1) → S_4Translate(G_1, s_1) → T_4Translate(H_1, s_1) → U_4Polygon(S_4, T_4, U_4) → veelhoek8', u_4, s_4, t_4Translate(I_1, s_1) → V_4Translate(J'', s_1) → J'''Translate(J_1, s_1) → W_4Polygon(V_4, J''', W_4) → veelhoek9', w_4, v_4, j'''Translate(veelhoek1'_1, s_1) → veelhoek24Translate(F'_5, s_1) → Z_4Translate(G'_3, s_1) → A_5Translate(A'_9, s_1) → B_5Polygon(Z_4, A_5, B_5) → veelhoek25, b_5, z_4, a_6Translate(H'_3, s_1) → C_5Translate(A'_{10}, s_1) → D_5Translate(I'_3, s_1) → E_5Polygon(C_5, D_5, E_5) → veelhoek26, e_5, c_5, d_5Translate(F''_3, s_1) → F_5Translate(G''_3, s_1) → G_5Translate(A''_2, s_1) → H_5Polygon(F_5, G_5, H_5) → veelhoek27, h_5, f_5, g_5Translate(H''_3, s_1) → I_5Translate(U_1, s_1) → J_5Translate(I''_2, s_1) → K_5Polygon(I_5, J_5, K_5) → veelhoek28, k_5, i_5, j_5Translate(V_1, s_1) → L_5Translate(W_1, s_1) → M_5Translate(Z_1, s_1) → N_5Polygon(L_5, M_5, N_5) → veelhoek10', n_5, l_5, m_5Translate(A_2, s_1) → O_5Translate(B_2, s_1) → P_5Translate(C_2, s_1) → Q_5Polygon(O_5, P_5, Q_5) → veelhoek11', q_5, o_5, p_5Translate(F'''_2, s_1) → R_5Translate(G'''_2, s_1) → S_5Translate(A'''_2, s_1) → T_5Polygon(R_5, S_5, T_5) → veelhoek29, t_5, r_5, s_5Translate(H'''_2, s_1) → U_5Translate(J'_2, s_1) → V_5Translate(I'''_2, s_1) → W_5Polygon(U_5, V_5, W_5) → veelhoek30, w_5, u_5, v_5Translate(M'_1, s_1) → Z_5Translate(N'_1, s_1) → A_6Translate(O'_1, s_1) → B_6Polygon(Z_5, A_6, B_6) → veelhoek31, b_6, z_5, a_7Translate(P'_1, s_1) → C_6Translate(Q'_1, s_1) → D_6Translate(R'_1, s_1) → E_6Polygon(C_6, D_6, E_6) → veelhoek32, e_6, c_6, d_6Translate(D_2, s_1) → F_6Translate(E_2, s_1) → G_6Translate(F_2, s_1) → H_6Polygon(F_6, G_6, H_6) → veelhoek12', h_6, f_6, g_6Translate(G_2, s_1) → I_6Translate(J''_1, s_1) → J_6Translate(H_2, s_1) → K_6Polygon(I_6, J_6, K_6) → veelhoek13', k_6, i_6, j_6Translate(F'_1, s_1) → L_6Translate(A'_2, s_1) → M_6Segment(L_6, M_6) → i_2Translate(F'_3, s_1) → N_6Translate(A'_5, s_1) → O_6Segment(N_6, O_6) → n_2Translate(A'_6, s_1) → P_6Translate(B', s_1) → B''_3Segment(P_6, B''_3) → p_2Translate(K, s_1) → K'_3Translate(L, s_1) → L'_3Segment(K'_3, L'_3) → k'_3Translate(C', s_1) → C''_2Translate(D', s_1) → D''_2Segment(C''_2, D''_2) → c''_2Translate(B'_1, s_1) → Q_6Translate(C'_1, s_1) → R_6Segment(Q_6, R_6) → b''_2Translate(F''_1, s_1) → S_6Translate(G''_1, s_1) → T_6Segment(S_6, T_6) → q_2Translate(S, s_1) → S'_2Translate(T, s_1) → T'_2Segment(S'_2, T'_2) → l'_2Translate(U, s_1) → U'_2Translate(B'', s_1) → B'''_2Segment(U'_2, B'''_2) → s'_2Translate(K', s_1) → K''_2Translate(L', s_1) → L''_2Segment(K''_2, L''_2) → k''_2Translate(K_1, s_1) → U_6Translate(L_1, s_1) → V_6Segment(U_6, V_6) → t'Translate(M_1, s_1) → W_6Translate(N_1, s_1) → Z_6Segment(W_6, Z_6) → r_2Translate(O_1, s_1) → A_7Translate(B''_1, s_1) → B_7Segment(A_7, B_7) → s_2Translate(K'_1, s_1) → C_7Translate(L'_1, s_1) → D_7Segment(C_7, D_7) → t_2Translate(C'', s_1) → C'''Translate(D'', s_1) → D'''Segment(C''', D''') → c'''Translate(P_1, s_1) → E_7Translate(Q_1, s_1) → F_7Segment(E_7, F_7) → b'''Translate(R_1, s_1) → G_7Translate(S_1, s_1) → H_7Segment(G_7, H_7) → b_3Translate(S', s_1) → S''_1Translate(T', s_1) → T''Segment(S''_1, T'') → l''Translate(U', s_1) → U''Translate(B''', s_1) → I_7Segment(U'', I_7) → s''Translate(K'', s_1) → K'''Translate(L'', s_1) → L'''Segment(K''', L''') → k'''Translate(L_2, s_1) → J_7Translate(M_2, s_1) → K_7Segment(J_7, K_7) → c_3Translate(N_2, s_1) → L_7Translate(O_2, s_1) → M_7Segment(L_7, M_7) → d_3Translate(P_2, s_1) → N_7Translate(B''_2, s_1) → O_7Segment(N_7, O_7) → e_3Translate(K'_2, s_1) → P_7Translate(L'_2, s_1) → Q_7Segment(P_7, Q_7) → i_3Translate(C''_1, s_1) → R_7Translate(D''_1, s_1) → S_7Segment(R_7, S_7) → j_3Translate(Q_2, s_1) → T_7Translate(R_2, s_1) → U_7Segment(T_7, U_7) → l_6Translate(S_2, s_1) → V_7Translate(T_2, s_1) → W_7Segment(V_7, W_7) → m_6Translate(S'_1, s_1) → Z_7Translate(T'_1, s_1) → A_8Segment(Z_7, A_8) → n_6Translate(U'_1, s_1) → B_8Translate(B'''_1, s_1) → C_8Segment(B_8, C_8) → p_6Translate(K''_1, s_1) → D_8Translate(L''_1, s_1) → E_8Segment(D_8, E_8) → q_6Translate(W_2, s_1) → F_8Translate(Z_2, s_1) → G_8Segment(F_8, G_8) → r_6Translate(A_3, s_1) → H_8Translate(B_3, s_1) → I_8Segment(H_8, I_8) → s_6Translate(C_3, s_1) → J_8Translate(D_3, s_1) → K_8Segment(J_8, K_8) → t_6Translate(H''_1, s_1) → L_8Translate(V, s_1) → V'_2Translate(T_1, s_1) → M_8Translate(V', s_1) → V''_1Translate(I_2, s_1) → N_8Translate(J_2, s_1) → O_8Translate(U_2, s_1) → P_8Translate(E_3, s_1) → Q_8Translate(V'_1, s_1) → R_8Translate(F_3, s_1) → S_8Translate(M'', s_1) → M'''Translate(G_3, s_1) → T_8Translate(H_3, s_1) → U_8Translate(I_3, s_1) → V_8Translate(S'', s_1) → S'''Translate(J_3, s_1) → W_8Translate(V'', s_1) → V'''Vector(O'_1, A'_{11}) → u_2Translate(veelhoek1, u_2) → veelhoek1'_3Translate(F, u_2) → F'_7Translate(G, u_2) → G'_5Translate(A, u_2) → A'_{13}Polygon(F'_7, G'_5, A'_{13}) → veelhoek2'_5, a'_{13}, f'_7, g'_5Translate(H, u_2) → H'_5Translate(A, u_2) → A'_{14}Translate(I, u_2) → I'_5Polygon(H'_5, A'_{14}, I'_5) → veelhoek3'_5, i'_5, h'_5, a'_{14}Translate(F', u_2) → F''_5Translate(G', u_2) → G''_5Translate(A', u_2) → A''_4Polygon(F''_5, G''_5, A''_4) → veelhoek2''_4, a''_5, f''_5, g''_5Translate(H', u_2) → H''_5Translate(A'_1, u_2) → Z_8Translate(I', u_2) → I''_4Polygon(H''_5, Z_8, I''_4) → veelhoek3''_4, i''_4, h''_5, z_8Translate(F'_2, u_2) → A_9Translate(G'_1, u_2) → B_9Translate(A'_3, u_2) → C_9Polygon(A_9, B_9, C_9) → veelhoek33, c_9, a_9, b_9Translate(H'_1, u_2) → D_9Translate(A'_4, u_2) → E_9Translate(I'_1, u_2) → F_9Polygon(D_9, E_9, F_9) → veelhoek34, f_9, d_9, e_9Translate(F'', u_2) → F'''_4Translate(G'', u_2) → G'''_4Translate(A'', u_2) → A'''_4Polygon(F'''_4, G'''_4, A'''_4) → veelhoek2'''_4, a'''_4, f'''_4, g'''_4Translate(H'', u_2) → H'''_4Translate(J, u_2) → J'_4Translate(I'', u_2) → I'''_4Polygon(H'''_4, J'_4, I'''_4) → veelhoek3'''_4, i'''_4, h'''_4, j'_4Translate(M, u_2) → M'_3Translate(N, u_2) → N'_3Translate(O, u_2) → O'_3Polygon(M'_3, N'_3, O'_3) → veelhoek4'_3, o'_3, m'_3, n'_3Translate(P, u_2) → P'_3Translate(Q, u_2) → Q'_3Translate(R, u_2) → R'_3Polygon(P'_3, Q'_3, R'_3) → veelhoek5'_3, r'_3, p'_3, q'_3Translate(F''', u_2) → G_9Translate(G''', u_2) → H_9Translate(A''', u_2) → I_9Polygon(G_9, H_9, I_9) → veelhoek35, i_9, g_9, h_9Translate(H''', u_2) → J_9Translate(J', u_2) → J''_3Translate(I''', u_2) → K_9Polygon(J_9, J''_3, K_9) → veelhoek36, k_9, j_9, j''_3Translate(veelhoek1', u_2) → veelhoek1''_1Translate(F'_4, u_2) → L_9Translate(G'_2, u_2) → M_9Translate(A'_7, u_2) → N_9Polygon(L_9, M_9, N_9) → veelhoek37, n_9, l_9, m_9Translate(H'_2, u_2) → O_9Translate(A'_8, u_2) → P_9Translate(I'_2, u_2) → Q_9Polygon(O_9, P_9, Q_9) → veelhoek38, q_9, o_9, p_9Translate(F''_2, u_2) → R_9Translate(G''_2, u_2) → S_9Translate(A''_1, u_2) → T_9Polygon(R_9, S_9, T_9) → veelhoek39, t_9, r_9, s_9Translate(H''_2, u_2) → U_9Translate(W, u_2) → W'_1Translate(I''_1, u_2) → V_9Polygon(U_9, W'_1, V_9) → veelhoek40, v_9, u_9, w'_1Translate(Z, u_2) → Z'_1Translate(A_1, u_2) → W_9Translate(B_1, u_2) → Z_9Polygon(Z'_1, W_9, Z_9) → veelhoek6'_1, z_9, z'_1, w_9Translate(C_1, u_2) → A_{10}Translate(D_1, u_2) → B_{10}Translate(E_1, u_2) → C_{10}Polygon(A_{10}, B_{10}, C_{10}) → veelhoek7'_1, c_{10}, a_{10}, b_{10}Translate(F'''_1, u_2) → D_{10}Translate(G'''_1, u_2) → E_{10}Translate(A'''_1, u_2) → F_{10}Polygon(D_{10}, E_{10}, F_{10}) → veelhoek41, f_{10}, d_{10}, e_{10}Translate(H'''_1, u_2) → G_{10}Translate(J'_1, u_2) → H_{10}Translate(I'''_1, u_2) → I_{10}Polygon(G_{10}, H_{10}, I_{10}) → veelhoek42, i_{10}, g_{10}, h_{10}Translate(M', u_2) → M''_2Translate(N', u_2) → N''_1Translate(O', u_2) → O''_1Polygon(M''_2, N''_1, O''_1) → veelhoek4''_1, o''_1, m''_2, n''_1Translate(P', u_2) → P''_1Translate(Q', u_2) → Q''_1Translate(R', u_2) → R''_1Polygon(P''_1, Q''_1, R''_1) → veelhoek5''_1, r''_1, p''_1, q''_1Translate(F_1, u_2) → J_{10}Translate(G_1, u_2) → K_{10}Translate(H_1, u_2) → L_{10}Polygon(J_{10}, K_{10}, L_{10}) → veelhoek8'_1, l_{10}, j_{10}, k_{10}Translate(I_1, u_2) → M_{10}Translate(J'', u_2) → J'''_1Translate(J_1, u_2) → N_{10}Polygon(M_{10}, J'''_1, N_{10}) → veelhoek9'_1, n_{10}, m_{10}, j'''_1Translate(veelhoek1'_1, u_2) → veelhoek43Translate(F'_5, u_2) → O_{10}Translate(G'_3, u_2) → P_{10}Translate(A'_9, u_2) → Q_{10}Polygon(O_{10}, P_{10}, Q_{10}) → veelhoek44, q_{10}, o_{10}, p_{10}Translate(H'_3, u_2) → R_{10}Translate(A'_{10}, u_2) → S_{10}Translate(I'_3, u_2) → T_{10}Polygon(R_{10}, S_{10}, T_{10}) → veelhoek45, t_{10}, r_{10}, s_{10}Translate(F''_3, u_2) → U_{10}Translate(G''_3, u_2) → V_{10}Translate(A''_2, u_2) → W_{10}Polygon(U_{10}, V_{10}, W_{10}) → veelhoek46, w_{10}, u_{10}, v_{10}Translate(H''_3, u_2) → Z_{10}Translate(U_1, u_2) → A_{11}Translate(I''_2, u_2) → B_{11}Polygon(Z_{10}, A_{11}, B_{11}) → veelhoek47, b_{11}, z_{10}, a_{11}Translate(V_1, u_2) → C_{11}Translate(W_1, u_2) → D_{11}Translate(Z_1, u_2) → E_{11}Polygon(C_{11}, D_{11}, E_{11}) → veelhoek10'_1, e_{11}, c_{11}, d_{11}Translate(A_2, u_2) → F_{11}Translate(B_2, u_2) → G_{11}Translate(C_2, u_2) → H_{11}Polygon(F_{11}, G_{11}, H_{11}) → veelhoek11'_1, h_{11}, f_{11}, g_{11}Translate(F'''_2, u_2) → I_{11}Translate(G'''_2, u_2) → J_{11}Translate(A'''_2, u_2) → K_{11}Polygon(I_{11}, J_{11}, K_{11}) → veelhoek48, k_{11}, i_{11}, j_{11}Translate(H'''_2, u_2) → L_{11}Translate(J'_2, u_2) → M_{11}Translate(I'''_2, u_2) → N_{11}Polygon(L_{11}, M_{11}, N_{11}) → veelhoek49, n_{11}, l_{11}, m_{11}Translate(M'_1, u_2) → O_{11}Translate(N'_1, u_2) → P_{11}Translate(O'_1, u_2) → Q_{11}Polygon(O_{11}, P_{11}, Q_{11}) → veelhoek50, q_{11}, o_{11}, p_{11}Translate(P'_1, u_2) → R_{11}Translate(Q'_1, u_2) → S_{11}Translate(R'_1, u_2) → T_{11}Polygon(R_{11}, S_{11}, T_{11}) → veelhoek51, t_{11}, r_{11}, s_{11}Translate(D_2, u_2) → U_{11}Translate(E_2, u_2) → V_{11}Translate(F_2, u_2) → W_{11}Polygon(U_{11}, V_{11}, W_{11}) → veelhoek12'_1, w_{11}, u_{11}, v_{11}Translate(G_2, u_2) → Z_{11}Translate(J''_1, u_2) → A_{12}Translate(H_2, u_2) → B_{12}Polygon(Z_{11}, A_{12}, B_{12}) → veelhoek13'_1, b_{12}, z_{11}, a_{12}Translate(veelhoek1'_2, u_2) → veelhoek52Translate(F'_6, u_2) → C_{12}Translate(G'_4, u_2) → D_{12}Translate(A'_{11}, u_2) → E_{12}Polygon(C_{12}, D_{12}, E_{12}) → veelhoek53, e_{12}, c_{12}, d_{12}Translate(H'_4, u_2) → F_{12}Translate(A'_{12}, u_2) → G_{12}Translate(I'_4, u_2) → H_{12}Polygon(F_{12}, G_{12}, H_{12}) → veelhoek54, h_{12}, f_{12}, g_{12}Translate(F''_4, u_2) → I_{12}Translate(G''_4, u_2) → J_{12}Translate(A''_3, u_2) → K_{12}Polygon(I_{12}, J_{12}, K_{12}) → veelhoek55, k_{12}, i_{12}, j_{12}Translate(H''_4, u_2) → L_{12}Translate(K_2, u_2) → M_{12}Translate(I''_3, u_2) → N_{12}Polygon(L_{12}, M_{12}, N_{12}) → veelhoek56, n_{12}, l_{12}, m_{12}Translate(V_2, u_2) → O_{12}Translate(K_3, u_2) → P_{12}Translate(L_3, u_2) → Q_{12}Polygon(O_{12}, P_{12}, Q_{12}) → veelhoek14', q_{12}, o_{12}, p_{12}Translate(M_3, u_2) → R_{12}Translate(N_3, u_2) → S_{12}Translate(O_3, u_2) → T_{12}Polygon(R_{12}, S_{12}, T_{12}) → veelhoek15', t_{12}, r_{12}, s_{12}Translate(F'''_3, u_2) → U_{12}Translate(G'''_3, u_2) → V_{12}Translate(A'''_3, u_2) → W_{12}Polygon(U_{12}, V_{12}, W_{12}) → veelhoek57, w_{12}, u_{12}, v_{12}Translate(H'''_3, u_2) → Z_{12}Translate(J'_3, u_2) → A_{13}Translate(I'''_3, u_2) → B_{13}Polygon(Z_{12}, A_{13}, B_{13}) → veelhoek58, b_{13}, z_{12}, a_{13}Translate(M'_2, u_2) → C_{13}Translate(N'_2, u_2) → D_{13}Translate(O'_2, u_2) → E_{13}Polygon(C_{13}, D_{13}, E_{13}) → veelhoek59, e_{13}, c_{13}, d_{13}Translate(P'_2, u_2) → F_{13}Translate(Q'_2, u_2) → G_{13}Translate(R'_2, u_2) → H_{13}Polygon(F_{13}, G_{13}, H_{13}) → veelhoek60, h_{13}, f_{13}, g_{13}Translate(P_3, u_2) → I_{13}Translate(Q_3, u_2) → J_{13}Translate(R_3, u_2) → K_{13}Polygon(I_{13}, J_{13}, K_{13}) → veelhoek16', k_{13}, i_{13}, j_{13}Translate(S_3, u_2) → L_{13}Translate(J''_2, u_2) → M_{13}Translate(T_3, u_2) → N_{13}Polygon(L_{13}, M_{13}, N_{13}) → veelhoek17', n_{13}, l_{13}, m_{13}Translate(veelhoek1'', u_2) → veelhoek1'''Translate(U_3, u_2) → O_{13}Translate(V_3, u_2) → P_{13}Translate(W_3, u_2) → Q_{13}Polygon(O_{13}, P_{13}, Q_{13}) → veelhoek18', q_{13}, o_{13}, p_{13}Translate(Z_3, u_2) → R_{13}Translate(A_4, u_2) → S_{13}Translate(B_4, u_2) → T_{13}Polygon(R_{13}, S_{13}, T_{13}) → veelhoek19', t_{13}, r_{13}, s_{13}Translate(C_4, u_2) → U_{13}Translate(D_4, u_2) → V_{13}Translate(E_4, u_2) → W_{13}Polygon(U_{13}, V_{13}, W_{13}) → veelhoek20', w_{13}, u_{13}, v_{13}Translate(F_4, u_2) → Z_{13}Translate(W', u_2) → W''Translate(G_4, u_2) → A_{14}Polygon(Z_{13}, W'', A_{14}) → veelhoek21', a_{14}, z_{13}, w''Translate(Z', u_2) → Z''Translate(H_4, u_2) → B_{14}Translate(I_4, u_2) → C_{14}Polygon(Z'', B_{14}, C_{14}) → veelhoek6'', c_{14}, z'', b_{14}Translate(J_4, u_2) → D_{14}Translate(K_4, u_2) → E_{14}Translate(L_4, u_2) → F_{14}Polygon(D_{14}, E_{14}, F_{14}) → veelhoek7'', f_{14}, d_{14}, e_{14}Translate(M_4, u_2) → G_{14}Translate(N_4, u_2) → H_{14}Translate(O_4, u_2) → I_{14}Polygon(G_{14}, H_{14}, I_{14}) → veelhoek22', i_{14}, g_{14}, h_{14}Translate(P_4, u_2) → J_{14}Translate(Q_4, u_2) → K_{14}Translate(R_4, u_2) → L_{14}Polygon(J_{14}, K_{14}, L_{14}) → veelhoek23', l_{14}, j_{14}, k_{14}Translate(M''_1, u_2) → M_{14}Translate(N'', u_2) → N'''Translate(O'', u_2) → O'''Polygon(M_{14}, N''', O''') → veelhoek4''', o''', m_{14}, n'''Translate(P'', u_2) → P'''Translate(Q'', u_2) → Q'''Translate(R'', u_2) → R'''Polygon(P''', Q''', R''') → veelhoek5''', r''', p''', q'''Translate(S_4, u_2) → N_{14}Translate(T_4, u_2) → O_{14}Translate(U_4, u_2) → P_{14}Polygon(N_{14}, O_{14}, P_{14}) → veelhoek8'', p_{14}, n_{14}, o_{14}Translate(V_4, u_2) → Q_{14}Translate(J''', u_2) → R_{14}Translate(W_4, u_2) → S_{14}Polygon(Q_{14}, R_{14}, S_{14}) → veelhoek9'', s_{14}, q_{14}, r_{14}Translate(veelhoek24, u_2) → veelhoek24'Translate(Z_4, u_2) → T_{14}Translate(A_5, u_2) → U_{14}Translate(B_5, u_2) → V_{14}Polygon(T_{14}, U_{14}, V_{14}) → veelhoek25', v_{14}, t_{14}, u_{14}Translate(C_5, u_2) → W_{14}Translate(D_5, u_2) → Z_{14}Translate(E_5, u_2) → A_{15}Polygon(W_{14}, Z_{14}, A_{15}) → veelhoek26', a_{15}, w_{14}, z_{14}Translate(F_5, u_2) → B_{15}Translate(G_5, u_2) → C_{15}Translate(H_5, u_2) → D_{15}Polygon(B_{15}, C_{15}, D_{15}) → veelhoek27', d_{15}, b_{15}, c_{15}Translate(I_5, u_2) → E_{15}Translate(J_5, u_2) → F_{15}Translate(K_5, u_2) → G_{15}Polygon(E_{15}, F_{15}, G_{15}) → veelhoek28', g_{15}, e_{15}, f_{15}Translate(L_5, u_2) → H_{15}Translate(M_5, u_2) → I_{15}Translate(N_5, u_2) → J_{15}Polygon(H_{15}, I_{15}, J_{15}) → veelhoek10'', j_{15}, h_{15}, i_{15}Translate(O_5, u_2) → K_{15}Translate(P_5, u_2) → L_{15}Translate(Q_5, u_2) → M_{15}Polygon(K_{15}, L_{15}, M_{15}) → veelhoek11'', m_{15}, k_{15}, l_{15}Translate(R_5, u_2) → N_{15}Translate(S_5, u_2) → O_{15}Translate(T_5, u_2) → P_{15}Polygon(N_{15}, O_{15}, P_{15}) → veelhoek29', p_{15}, n_{15}, o_{15}Translate(U_5, u_2) → Q_{15}Translate(V_5, u_2) → R_{15}Translate(W_5, u_2) → S_{15}Polygon(Q_{15}, R_{15}, S_{15}) → veelhoek30', s_{15}, q_{15}, r_{15}Translate(Z_5, u_2) → T_{15}Translate(A_6, u_2) → U_{15}Translate(B_6, u_2) → V_{15}Polygon(T_{15}, U_{15}, V_{15}) → veelhoek31', v_{15}, t_{15}, u_{15}Translate(C_6, u_2) → W_{15}Translate(D_6, u_2) → Z_{15}Translate(E_6, u_2) → A_{16}Polygon(W_{15}, Z_{15}, A_{16}) → veelhoek32', a_{16}, w_{15}, z_{15}Translate(F_6, u_2) → B_{16}Translate(G_6, u_2) → C_{16}Translate(H_6, u_2) → D_{16}Polygon(B_{16}, C_{16}, D_{16}) → veelhoek12'', d_{16}, b_{16}, c_{16}Translate(I_6, u_2) → E_{16}Translate(J_6, u_2) → F_{16}Translate(K_6, u_2) → G_{16}Polygon(E_{16}, F_{16}, G_{16}) → veelhoek13'', g_{16}, e_{16}, f_{16}Translate(F'_1, u_2) → H_{16}Translate(A'_2, u_2) → I_{16}Segment(H_{16}, I_{16}) → b_7Translate(F'_3, u_2) → J_{16}Translate(A'_5, u_2) → K_{16}Segment(J_{16}, K_{16}) → c_7Translate(A'_6, u_2) → L_{16}Translate(B', u_2) → B''_4Segment(L_{16}, B''_4) → d_7Translate(K, u_2) → K'_4Translate(L, u_2) → L'_4Segment(K'_4, L'_4) → k'_4Translate(C', u_2) → C''_3Translate(D', u_2) → D''_3Segment(C''_3, D''_3) → c''_3Translate(B'_1, u_2) → M_{16}Translate(C'_1, u_2) → N_{16}Segment(M_{16}, N_{16}) → b''_3Translate(F''_1, u_2) → O_{16}Translate(G''_1, u_2) → P_{16}Segment(O_{16}, P_{16}) → e_7Translate(S, u_2) → S'_3Translate(T, u_2) → T'_3Segment(S'_3, T'_3) → l'_3Translate(U, u_2) → U'_3Translate(B'', u_2) → B'''_3Segment(U'_3, B'''_3) → s'_3Translate(K', u_2) → K''_3Translate(L', u_2) → L''_3Segment(K''_3, L''_3) → k''_3Translate(K_1, u_2) → Q_{16}Translate(L_1, u_2) → R_{16}Segment(Q_{16}, R_{16}) → t'_1Translate(M_1, u_2) → S_{16}Translate(N_1, u_2) → T_{16}Segment(S_{16}, T_{16}) → f_7Translate(O_1, u_2) → U_{16}Translate(B''_1, u_2) → V_{16}Segment(U_{16}, V_{16}) → g_7Translate(K'_1, u_2) → W_{16}Translate(L'_1, u_2) → Z_{16}Segment(W_{16}, Z_{16}) → h_7Translate(C'', u_2) → C'''_1Translate(D'', u_2) → D'''_1Segment(C'''_1, D'''_1) → c'''_1Translate(P_1, u_2) → A_{17}Translate(Q_1, u_2) → B_{17}Segment(A_{17}, B_{17}) → b'''_1Translate(R_1, u_2) → C_{17}Translate(S_1, u_2) → D_{17}Segment(C_{17}, D_{17}) → i_7Translate(S', u_2) → S''_2Translate(T', u_2) → T''_1Segment(S''_2, T''_1) → l''_1Translate(U', u_2) → U''_1Translate(B''', u_2) → E_{17}Segment(U''_1, E_{17}) → s''_1Translate(K'', u_2) → K'''_1Translate(L'', u_2) → L'''_1Segment(K'''_1, L'''_1) → k'''_1Translate(L_2, u_2) → F_{17}Translate(M_2, u_2) → G_{17}Segment(F_{17}, G_{17}) → j_7Translate(N_2, u_2) → H_{17}Translate(O_2, u_2) → I_{17}Segment(H_{17}, I_{17}) → k_7Translate(P_2, u_2) → J_{17}Translate(B''_2, u_2) → K_{17}Segment(J_{17}, K_{17}) → l_7Translate(K'_2, u_2) → L_{17}Translate(L'_2, u_2) → M_{17}Segment(L_{17}, M_{17}) → m_7Translate(C''_1, u_2) → N_{17}Translate(D''_1, u_2) → O_{17}Segment(N_{17}, O_{17}) → n_7Translate(Q_2, u_2) → P_{17}Translate(R_2, u_2) → Q_{17}Segment(P_{17}, Q_{17}) → p_7Translate(S_2, u_2) → R_{17}Translate(T_2, u_2) → S_{17}Segment(R_{17}, S_{17}) → q_7Translate(S'_1, u_2) → T_{17}Translate(T'_1, u_2) → U_{17}Segment(T_{17}, U_{17}) → r_7Translate(U'_1, u_2) → V_{17}Translate(B'''_1, u_2) → W_{17}Segment(V_{17}, W_{17}) → s_7Translate(K''_1, u_2) → Z_{17}Translate(L''_1, u_2) → A_{18}Segment(Z_{17}, A_{18}) → t_7Translate(W_2, u_2) → B_{18}Translate(Z_2, u_2) → C_{18}Segment(B_{18}, C_{18}) → a_8Translate(A_3, u_2) → D_{18}Translate(B_3, u_2) → E_{18}Segment(D_{18}, E_{18}) → b_8Translate(C_3, u_2) → F_{18}Translate(D_3, u_2) → G_{18}Segment(F_{18}, G_{18}) → c_8Translate(L_6, u_2) → H_{18}Translate(M_6, u_2) → I_{18}Segment(H_{18}, I_{18}) → d_8Translate(N_6, u_2) → J_{18}Translate(O_6, u_2) → K_{18}Segment(J_{18}, K_{18}) → e_8Translate(P_6, u_2) → L_{18}Translate(B''_3, u_2) → M_{18}Segment(L_{18}, M_{18}) → f_8Translate(K'_3, u_2) → N_{18}Translate(L'_3, u_2) → O_{18}Segment(N_{18}, O_{18}) → g_8Translate(C''_2, u_2) → P_{18}Translate(D''_2, u_2) → Q_{18}Segment(P_{18}, Q_{18}) → h_8Translate(Q_6, u_2) → R_{18}Translate(R_6, u_2) → S_{18}Segment(R_{18}, S_{18}) → i_8Translate(S_6, u_2) → T_{18}Translate(T_6, u_2) → U_{18}Segment(T_{18}, U_{18}) → j_8Translate(S'_2, u_2) → V_{18}Translate(T'_2, u_2) → W_{18}Segment(V_{18}, W_{18}) → k_8Translate(U'_2, u_2) → Z_{18}Translate(B'''_2, u_2) → A_{19}Segment(Z_{18}, A_{19}) → l_8Translate(K''_2, u_2) → B_{19}Translate(L''_2, u_2) → C_{19}Segment(B_{19}, C_{19}) → m_8Translate(U_6, u_2) → D_{19}Translate(V_6, u_2) → E_{19}Segment(D_{19}, E_{19}) → t''Translate(W_6, u_2) → F_{19}Translate(Z_6, u_2) → G_{19}Segment(F_{19}, G_{19}) → n_8Translate(A_7, u_2) → H_{19}Translate(B_7, u_2) → I_{19}Segment(H_{19}, I_{19}) → p_8Translate(C_7, u_2) → J_{19}Translate(D_7, u_2) → K_{19}Segment(J_{19}, K_{19}) → q_8Translate(C''', u_2) → L_{19}Translate(D''', u_2) → M_{19}Segment(L_{19}, M_{19}) → r_8Translate(E_7, u_2) → N_{19}Translate(F_7, u_2) → O_{19}Segment(N_{19}, O_{19}) → s_8Translate(G_7, u_2) → P_{19}Translate(H_7, u_2) → Q_{19}Segment(P_{19}, Q_{19}) → t_8Translate(S''_1, u_2) → R_{19}Translate(T'', u_2) → T'''Segment(R_{19}, T''') → l'''Translate(U'', u_2) → U'''Translate(I_7, u_2) → S_{19}Segment(U''', S_{19}) → s'''Translate(K''', u_2) → T_{19}Translate(L''', u_2) → U_{19}Segment(T_{19}, U_{19}) → h_{16}Translate(J_7, u_2) → V_{19}Translate(K_7, u_2) → W_{19}Segment(V_{19}, W_{19}) → i_{16}Translate(L_7, u_2) → Z_{19}Translate(M_7, u_2) → A_{20}Segment(Z_{19}, A_{20}) → j_{16}Translate(N_7, u_2) → B_{20}Translate(O_7, u_2) → C_{20}Segment(B_{20}, C_{20}) → k_{16}Translate(P_7, u_2) → D_{20}Translate(Q_7, u_2) → E_{20}Segment(D_{20}, E_{20}) → l_{16}Translate(R_7, u_2) → F_{20}Translate(S_7, u_2) → G_{20}Segment(F_{20}, G_{20}) → m_{16}Translate(T_7, u_2) → H_{20}Translate(U_7, u_2) → I_{20}Segment(H_{20}, I_{20}) → n_{16}Translate(V_7, u_2) → J_{20}Translate(W_7, u_2) → K_{20}Segment(J_{20}, K_{20}) → p_{16}Translate(Z_7, u_2) → L_{20}Translate(A_8, u_2) → M_{20}Segment(L_{20}, M_{20}) → q_{16}Translate(B_8, u_2) → N_{20}Translate(C_8, u_2) → O_{20}Segment(N_{20}, O_{20}) → r_{16}Translate(D_8, u_2) → P_{20}Translate(E_8, u_2) → Q_{20}Segment(P_{20}, Q_{20}) → s_{16}Translate(F_8, u_2) → R_{20}Translate(G_8, u_2) → S_{20}Segment(R_{20}, S_{20}) → t_{16}Translate(H_8, u_2) → T_{20}Translate(I_8, u_2) → U_{20}Segment(T_{20}, U_{20}) → a_{17}Translate(J_8, u_2) → V_{20}Translate(K_8, u_2) → W_{20}Segment(V_{20}, W_{20}) → b_{17}Translate(H''_1, u_2) → Z_{20}Translate(V, u_2) → V'_3Translate(T_1, u_2) → A_{21}Translate(V', u_2) → V''_2Translate(I_2, u_2) → B_{21}Translate(J_2, u_2) → C_{21}Translate(U_2, u_2) → D_{21}Translate(E_3, u_2) → E_{21}Translate(V'_1, u_2) → F_{21}Translate(F_3, u_2) → G_{21}Translate(M'', u_2) → M'''_1Translate(G_3, u_2) → H_{21}Translate(H_3, u_2) → I_{21}Translate(I_3, u_2) → J_{21}Translate(S'', u_2) → S'''_1Translate(J_3, u_2) → K_{21}Translate(V'', u_2) → V'''_1Translate(L_8, u_2) → L_{21}Translate(V'_2, u_2) → M_{21}Translate(M_8, u_2) → N_{21}Translate(V''_1, u_2) → O_{21}Translate(N_8, u_2) → P_{21}Translate(O_8, u_2) → Q_{21}Translate(P_8, u_2) → R_{21}Translate(Q_8, u_2) → S_{21}Translate(R_8, u_2) → T_{21}Translate(S_8, u_2) → U_{21}Translate(M''', u_2) → V_{21}Translate(T_8, u_2) → W_{21}Translate(U_8, u_2) → Z_{21}Translate(V_8, u_2) → A_{22}Translate(S''', u_2) → B_{22}Translate(W_8, u_2) → C_{22}Translate(V''', u_2) → D_{22}Line(D, F) → c_{17}Line(B, F) → d_{17}Line(F'''_2, F'_5) → e_{17}Line(F'_6, F'_4) → f_{17}Vector(C, O'') → w_2Translate(veelhoek1, w_2) → veelhoek1'_4Translate(F, w_2) → F'_8Translate(G, w_2) → G'_6Translate(A, w_2) → A'_{15}Polygon(F'_8, G'_6, A'_{15}) → veelhoek2'_6, a'_{15}, f'_8, g'_6Translate(H, w_2) → H'_6Translate(A, w_2) → A'_{16}Translate(I, w_2) → I'_6Polygon(H'_6, A'_{16}, I'_6) → veelhoek3'_6, i'_6, h'_6, a'_{16}Translate(F', w_2) → F''_6Translate(G', w_2) → G''_6Translate(A', w_2) → A''_5Polygon(F''_6, G''_6, A''_5) → veelhoek2''_5, a''_6, f''_6, g''_6Translate(H', w_2) → H''_6Translate(A'_1, w_2) → E_{22}Translate(I', w_2) → I''_5Polygon(H''_6, E_{22}, I''_5) → veelhoek3''_5, i''_5, h''_6, e_{22}Translate(F'_2, w_2) → F_{22}Translate(G'_1, w_2) → G_{22}Translate(A'_3, w_2) → H_{22}Polygon(F_{22}, G_{22}, H_{22}) → veelhoek61, h_{22}, f_{22}, g_{22}Translate(H'_1, w_2) → I_{22}Translate(A'_4, w_2) → J_{22}Translate(I'_1, w_2) → K_{22}Polygon(I_{22}, J_{22}, K_{22}) → veelhoek62, k_{22}, i_{22}, j_{22}Translate(F'', w_2) → F'''_5Translate(G'', w_2) → G'''_5Translate(A'', w_2) → A'''_5Polygon(F'''_5, G'''_5, A'''_5) → veelhoek2'''_5, a'''_5, f'''_5, g'''_5Translate(H'', w_2) → H'''_5Translate(J, w_2) → J'_5Translate(I'', w_2) → I'''_5Polygon(H'''_5, J'_5, I'''_5) → veelhoek3'''_5, i'''_5, h'''_5, j'_5Translate(M, w_2) → M'_4Translate(N, w_2) → N'_4Translate(O, w_2) → O'_4Polygon(M'_4, N'_4, O'_4) → veelhoek4'_4, o'_4, m'_4, n'_4Translate(P, w_2) → P'_4Translate(Q, w_2) → Q'_4Translate(R, w_2) → R'_4Polygon(P'_4, Q'_4, R'_4) → veelhoek5'_4, r'_4, p'_4, q'_4Translate(F''', w_2) → L_{22}Translate(G''', w_2) → M_{22}Translate(A''', w_2) → N_{22}Polygon(L_{22}, M_{22}, N_{22}) → veelhoek63, n_{22}, l_{22}, m_{22}Translate(H''', w_2) → O_{22}Translate(J', w_2) → J''_4Translate(I''', w_2) → P_{22}Polygon(O_{22}, J''_4, P_{22}) → veelhoek64, p_{22}, o_{22}, j''_4Translate(H'''_1, w_2) → Q_{22}Translate(J'_1, w_2) → R_{22}Translate(I'''_1, w_2) → S_{22}Polygon(Q_{22}, R_{22}, S_{22}) → veelhoek65, s_{22}, q_{22}, r_{22}Translate(A_2, w_2) → T_{22}Translate(B_2, w_2) → U_{22}Translate(C_2, w_2) → V_{22}Polygon(T_{22}, U_{22}, V_{22}) → veelhoek11'_2, v_{22}, t_{22}, u_{22}Translate(F'_1, w_2) → W_{22}Translate(A'_2, w_2) → Z_{22}Segment(W_{22}, Z_{22}) → g_{17}Translate(F'_3, w_2) → A_{23}Translate(A'_5, w_2) → B_{23}Segment(A_{23}, B_{23}) → h_{17}Translate(A'_6, w_2) → C_{23}Translate(B', w_2) → B''_5Segment(C_{23}, B''_5) → i_{17}Translate(K, w_2) → K'_5Translate(L, w_2) → L'_5Segment(K'_5, L'_5) → k'_5Translate(C', w_2) → C''_4Translate(D', w_2) → D''_4Segment(C''_4, D''_4) → c''_4Translate(B'_1, w_2) → D_{23}Translate(C'_1, w_2) → E_{23}Segment(D_{23}, E_{23}) → b''_4Translate(F''_1, w_2) → F_{23}Translate(G''_1, w_2) → G_{23}Segment(F_{23}, G_{23}) → j_{17}Translate(S, w_2) → S'_4Translate(T, w_2) → T'_4Segment(S'_4, T'_4) → l'_4Translate(U, w_2) → U'_4Translate(B'', w_2) → B'''_4Segment(U'_4, B'''_4) → s'_4Translate(K', w_2) → K''_4Translate(L', w_2) → L''_4Segment(K''_4, L''_4) → k''_4Translate(D_1, w_2) → H_{23}Translate(E_1, w_2) → I_{23}Segment(H_{23}, I_{23}) → k_{17}Translate(A'''_1, w_2) → J_{23}Translate(F'''_1, w_2) → K_{23}Segment(J_{23}, K_{23}) → l_{17}Translate(O_1, w_2) → L_{23}Translate(B''_1, w_2) → M_{23}Segment(L_{23}, M_{23}) → m_{17}Translate(K'_1, w_2) → N_{23}Translate(L'_1, w_2) → O_{23}Segment(N_{23}, O_{23}) → n_{17}Translate(Z_1, w_2) → P_{23}Translate(V_1, w_2) → Q_{23}Segment(P_{23}, Q_{23}) → p_{17}Translate(J'_2, w_2) → R_{23}Translate(I'''_2, w_2) → S_{23}Segment(R_{23}, S_{23}) → q_{17}Translate(N_2, w_2) → T_{23}Translate(O_2, w_2) → U_{23}Segment(T_{23}, U_{23}) → r_{17}Translate(H''_1, w_2) → V_{23}Translate(V, w_2) → V'_4Translate(B_1, w_2) → W_{23}Translate(M', w_2) → M''_3Translate(P', w_2) → P''_2Translate(N_1, w_2) → Z_{23}Translate(P_1, w_2) → A_{24}Translate(R_1, w_2) → B_{24}Translate(S', w_2) → S''_3Translate(T_1, w_2) → C_{24}Translate(V', w_2) → V''_3Translate(F''_3, w_2) → D_{24}Translate(H''_3, w_2) → E_{24}Translate(A'''_2, w_2) → F_{24}Translate(L_2, w_2) → G_{24}Translate(P_2, w_2) → H_{24}Translate(L'_2, w_2) → I_{24}
AI 绘图提示语参考
画一个六边形,然后找到其中一条边的垂直平分线,再找到另一条边的垂直平分线,两条垂直平分线的交点连接六边形的一个顶点和该顶点对面的顶点,形成一个新的三角形。将这个三角形旋转120度,再平移六边形的一条边,得到另一个三角形。重复这些步骤,创建多个旋转和平移后的图形,展示出周期性平铺的对称性。
以上提示语为根据原始绘图命令整理而来,仅供参考。