单元格排列的几何构造与平面变换
几何画板及绘图内容加载中,请稍等……
本例演示如何通过单元格排列与几何变换构建复杂的平面图案。核心概念包括多边形构造、平面变换(镜像、旋转、平移)、序列生成及交点与对角线关系。作图要点涉及Polygon、Mirror、Rotate、Translate、Sequence、Intersect、OrthogonalLine等GeoGebra命令,通过单元格的重复与对称生成规则图案。适合高中几何、平面变换单元或数学建模入门,帮助学生探索对称性、规则排列与参数化图形的构建方法。
GeoGebra 命令及参数
ConstructionStep() → stapPoint(yAxis) → BPoint(yAxis) → APolygon(D, C, 4) → bas1, f, g, h, i, E, FLine(G, E) → di1Mirror(B, di1) → B'Mirror(B', yAxis) → B''Midpoint(B', B'') → H_6Mirror(A, di1) → A'Mirror(K_1, spieg) → Q_1Mirror(L, di1) → NMirror(I_6, yAxis) → N_8Mirror(O_2, spieg) → R_2Rotate(I_6, 45°, H_6) → A_7Mirror(A_7, yAxis) → L_8Mirror(L_2, spieg) → P_2Rotate(I_6, 22.5°, I_6) → Z_6Mirror(L, Line[F, C]) → L'_1Mirror(W_1, spieg) → K_2Rotate(L'_1, (-(22.5°)), A_7) → B_7Segment(B_7, A_7) → f_{11}Rotate(L'_1, 22.5°, I_6) → W_6Segment(W_6, Z_6) → e_{10}Intersect(e_{10}, f_{11}) → C_7Rotate(C_7, (-(45°)), H_6) → Q_9Mirror(Q_9, yAxis) → R_9Mirror(S_2, spieg) → T_2Rotate(C_7, 45°, H_6) → O_8Mirror(C_7, yAxis) → M_8Mirror(N_2, spieg) → Q_2Rotate(L, 22.5°, D) → L'Segment(D, L') → nLine(L, xAxis) → pIntersect(p, n) → QMirror(B_2, spieg) → H_2Mirror(Q, x = ((-v2)) / 2) → UMirror(D_2, spieg) → F_2Mirror(U, di1) → VMirror(L_1, spieg) → R_1Mirror(Q, di1) → SMirror(N_1, spieg) → T_1Mirror(Q, Line[F, C]) → Q'_1Mirror(Z_1, spieg) → J_2Mirror(Q'_1, di1) → J_3Mirror(O_1, spieg) → V_1Mirror(C, di1) → C'Polygon(E, L'_1, J_3, C') → bas11, e_5, d_4, f_5, g_5Polygon(A, C, D, B) → basvierhoek1, a, c, d, bMirror(bas1, di1) → bas7Mirror(D, di1) → D'Polygon(A', C', D', B') → bas16, a', c', d', b'Mirror(bas1, yAxis) → bas9Mirror(A, yAxis) → A'_1Mirror(C, yAxis) → C'_1Mirror(D, yAxis) → D'_1Mirror(B, yAxis) → B'_1Polygon(A'_1, C'_1, D'_1, B'_1) → bas18, a'_1, c'_1, d'_1, b'_1Mirror(A', yAxis) → A''Mirror(C', yAxis) → C''Mirror(D', yAxis) → D''Polygon(A'', C'', D'', B'') → bas17, a'', c'', d'', b''Mirror(bas7, yAxis) → bas8Mirror(L, yAxis) → MMirror(N, yAxis) → PSegment(D, L) → jSegment(L, B) → kSegment(B, M) → lSegment(M, D'_1) → mMirror(Q, yAxis) → RMirror(S, yAxis) → TSegment(B', N) → qSegment(N, S) → rSegment(S, C') → sSegment(N, D') → tSegment(C, Q) → eSegment(Q, L) → f_1Mirror(V, yAxis) → WMirror(U, yAxis) → ZSegment(L, U) → g_1Segment(U, A) → h_1Segment(A, Z) → i_1Segment(Z, M) → j_1Segment(M, R) → k_1Segment(R, C'_1) → l_1Segment(C'', T) → m_1Segment(T, P) → n_1Segment(P, W) → p_1Segment(W, A'') → q_1Segment(P, B'') → r_1Segment(P, D'') → s_1Segment(N, V) → j_2Segment(V, A') → k_2Plane(L, L + (0, 0, 1), L + (0, 1, 0)) → vlakLMirror(D, vlakL) → D'_2Polygon(A, B, D'_1, C'_1, R, M, Z) → bas2, a_2, b_2, r_2, s_2, r_3, m_3, z_1Polygon(D, B, A, U, Q, C) → bas21, d_2, b_3, a_3, u, q_3, c_2Mirror(A, di1) → A'_2Mirror(C, di1) → C'_2Polygon(C'', D'', B'', A'', W, T) → bas22, t_2, e_2, f_3, g_3, w, t_3Polygon(E, C, Q'_1, L'_1) → bas10, e_4, c_5, q'_1, l'_1Mirror(E, yAxis) → E'Mirror(C, yAxis) → C'_3Mirror(Q'_1, yAxis) → K_3Mirror(L'_1, yAxis) → L_3Polygon(E', C'_3, K_3, L_3) → bas19, e', c'_3, h_5, i_5Mirror(E, yAxis) → E'_1Mirror(L'_1, yAxis) → M_3Mirror(J_3, yAxis) → N_3Mirror(C', yAxis) → C''_1Polygon(E'_1, M_3, N_3, C''_1) → bas20, e'_1, j_5, k_5, c''_1Intersect(l'_1, e_5) → A_4Intersect(l'_1, e_5) → B_4Midpoint(d'') → T_5PolyLine(B', H, E, F, K, J, I, B'') → h_{10}Line(H_6, H_6 + (0, 0, 1)) → rotPolygon(I_6, A', V, N) → bas12, m_{10}, n_{10}, v_{10}, n_{11}Sequence(Polygon[Rotate[I_6, (nn * 45°), rot], Rotate[A', (nn * 45°), rot], Rotate[V, (nn * 45°), rot], Rotate[N, (nn * 45°), rot]], nn, 1, 3) → l1Polygon(I_6, N, S, C') → bas13, p_{10}, n_{12}, s_{10}, q_{10}Sequence(Polygon[Rotate[I_6, (nn * 45°), rot], Rotate[N, (nn * 45°), rot], Rotate[S, (nn * 45°), rot], Rotate[C', (nn * 45°), rot]], nn, 1, 3) → l2Polygon(I_6, C', J_3, L'_1) → bas14, r_{10}, t_{10}, a_{10}, b_{10}Sequence(Polygon[Rotate[I_6, (nn * 45°), rot], Rotate[C', (nn * 45°), rot], Rotate[J_3, (nn * 45°), rot], Rotate[L'_1, (nn * 45°), rot]], nn, 1, 3) → l3Polygon(I_6, L'_1, A_7, C_7) → bas15, g_{11}, h_{11}, i_{11}, j_{11}Sequence(Polygon[Rotate[I_6, (nn * 45°), rot], Rotate[L'_1, (nn * 45°), rot], Rotate[A_7, (nn * 45°), rot], Rotate[C_7, (nn * 45°), rot]], nn, 1, 2) → l4Polygon(A', B', W, T, N_3, L_3, K_3, R, Z, A, U, Q, H, Q'_1, L'_1, J_3, S, V, E, F, K, J, I, B'', A'') → basveelhoek5, p_{11}, s_{11}, w_9, t_{11}, a_{11}, b_{11}, c_{11}, r_{12}, z_2, a_{12}, u_{10}, q_{11}, q_{12}, d_{11}, g_{12}, l_{12}, s_{12}, v_{11}, h_{12}, e_{11}, f_{12}, k_{12}, j_{12}, i_{12}, r_{11}Translate(E, Vector[(0, 0, 2)]) → E'_2Translate(F, Vector[(0, 0, 2)]) → F'Polygon(A', V, R, K_3, L_3, N_3, T, W, A'', N_8, M_8, O_8, S, A_7, C_7, I_6, J_3, L'_1, Q'_1, Q, U, A, Z) → bas3, e_{12}, z_3, r_{13}, i_{13}, j_{13}, k_{13}, t_{13}, w_{10}, l_{13}, m_{13}, n_{13}, v_{12}, o_8, p_{13}, b_{13}, c_{13}, s_{13}, f_{13}, g_{13}, h_{13}, q_{13}, u_{11}, a_{13}Translate(E, Vector[(0, 0, 2)]) → E'_3Translate(F, Vector[(0, 0, 2)]) → F'_1Rotate(P_9, (-(45°)), H_6) → S_9Ray(C, A_7) → i_{16}Intersect(i_{16}, yAxis) → T_9Segment(I_6, S_9) → j_{16}Segment(I_6, P_9) → k_{16}OrthogonalLine(P_9, j_{16}) → l_{16}OrthogonalLine(S_9, k_{16}) → m_{16}Intersect(l_{16}, m_{16}) → U_9Segment(S_9, U_9) → n_{16}Segment(U_9, P_9) → p_{16}Segment(Q_9, S_9) → q_{16}Segment(I_6, Q_9) → r_{16}Segment(A', Q_9) → s_{16}Mirror(A_7, yAxis) → V_9Mirror(C_7, yAxis) → W_9Mirror(I_6, yAxis) → Z_9Segment(A'', R_9) → t_{16}Segment(R_9, Z_9) → a_{16}Mirror(P_9, yAxis) → A_{10}Mirror(U_9, yAxis) → B_{10}Mirror(S_9, yAxis) → C_{10}Segment(C_{10}, R_9) → b_{16}Segment(C_{10}, B_{10}) → c_{16}Segment(B_{10}, A_{10}) → d_{16}Segment(A_{10}, Z_9) → e_{16}Segment(C_{10}, Z_9) → f_{17}Segment(P_9, A_7) → g_{17}Segment(A_{10}, V_9) → h_{17}Segment(T_9, V_9) → j_{17}Segment(A_7, T_9) → i_{17}Rotate(U_9, 45°, H_6) → D_{10}Rotate(U_9, 90°, H_6) → E_{10}Segment(P_9, D_{10}) → k_{17}Segment(D_{10}, T_9) → l_{17}Segment(T_9, E_{10}) → m_{17}Segment(E_{10}, A_{10}) → n_{17}Segment(S_9, C_{10}) → i_{21}Segment(P_9, H_6) → j_{21}Segment(T_9, H_6) → k_{21}Polygon(A', I_6, Q_9) → basdriehoek1, r_{17}, s_{17}, t_{17}Mirror(A', yAxis) → A''_5Segment(H_6, A_{10}) → l_{21}Mirror(I_6, yAxis) → A_{11}Mirror(Q_9, yAxis) → B_{11}Polygon(A''_5, A_{11}, B_{11}) → basdriehoek1', c_{17}, a''_5, d_{17}PolyLine(S_9, U_9, D_{10}, E_{10}, B_{10}, C_{10}) → e_{17}PolyLine(Q_9, C_7, W_{11}, W_9, R_9) → g_{18}Polygon(Q_9, C_7, S_9, W_{11}, W_9, R_9, C_{10}, B_{10}, E_{10}, D_{10}, U_9) → bas4, j_{18}, t_{18}, a_{18}, k_{18}, l_{18}, m_{18}, n_{18}, p_{18}, q_{18}, r_{18}, s_{18}Polygon(A', V, R, K_3, L_3, N_3, T, W, A'', R_9, W_9, W_{11}, S, C_7, Q_9, J_3, L'_1, Q'_1, Q, U, A, Z) → bas5, b_{18}, z_4, r_{19}, f_{19}, g_{19}, h_{19}, t_{19}, w_{16}, i_{19}, j_{19}, k_{19}, v_{16}, l_{19}, m_{19}, n_{19}, s_{19}, c_{18}, d_{18}, e_{18}, q_{19}, u_{16}, a_{19}Polygon(S_9, U_9, P_9, D_{10}, E_{10}, B_{10}, C_{10}) → bas6, g_{20}, h_{20}, i_{20}, j_{20}, k_{20}, l_{20}, m_{20}Segment(S_9, C_{10}) → n_{20}Mirror(C'', yAxis) → C'''Mirror(D'', yAxis) → D'''Mirror(B'', yAxis) → B'''Mirror(A'', yAxis) → A'''Mirror(W, yAxis) → W'Mirror(T, yAxis) → T'Polygon(C''', D''', B''', A''', W', T') → bas23, c''', d''', b''', a''', w', t'Translate(baspa, Vector[(-ver)]) → baspa'Translate(bas5, Vector[(-ver)]) → bas5'Translate(bas4, Vector[(-ver)]) → bas4'Mirror(N, yAxis) → N'Mirror(I_6, yAxis) → G_3Segment(N', G_3) → t_{26}Mirror(C', yAxis) → C''_2Mirror(I_6, yAxis) → H_3Segment(C''_2, H_3) → a_{26}Mirror(L'_1, yAxis) → I_3Mirror(I_6, yAxis) → O_3Segment(I_3, O_3) → b_{26}Mirror(L'_1, yAxis) → P_3Mirror(A_7, yAxis) → Q_3Segment(P_3, Q_3) → c_{26}Intersect(n_{13}, o_8) → R_3Intersect(h_1, i_1) → S_3Segment(R_3, S_3) → d_{26}Segment(A_7, C) → e_{26}Segment(A_7, L) → f_{27}Mirror(A_7, yAxis) → T_3Mirror(C, yAxis) → C'_4Segment(T_3, C'_4) → g_{27}Mirror(A_7, yAxis) → U_3Mirror(L, yAxis) → L'_2Segment(U_3, L'_2) → h_{27}Translate(S_9, Vector[(-ver)]) → V_3Translate(U_9, Vector[(-ver)]) → W_3Translate(P_9, Vector[(-ver)]) → Z_3Translate(D_{10}, Vector[(-ver)]) → C_4Translate(E_{10}, Vector[(-ver)]) → D_4Translate(B_{10}, Vector[(-ver)]) → E_4Translate(C_{10}, Vector[(-ver)]) → F_4Polygon(V_3, W_3, Z_3, C_4, D_4, E_4, F_4) → bas6', v_3, i_{27}, j_{27}, k_{27}, l_{27}, m_{27}, n_{27}Polygon(H, D_1, C_1, B') → pa44, h_4, f_2, g_2, i_2Polygon(H, E, E + ver, D_1) → pa42, h_2, e_1, t_1, d_1Polygon(E, E_1, F_1, F) → pa43, e_3, a_1, b_1, f_4Polygon(F, K, G_1, F_1) → pa45, f_6, k_3, c_1, l_2Polygon(K, J, H_1, G_1) → pa46, k_4, j_3, m_2, n_2Polygon(J, I, I_1, H_1) → pa47, j_4, i_3, p_2, q_2Polygon(I, B'', J_1, I_1) → pa48, i_4, h_3, l_3, n_3Polygon(B', K_1, L_1) → pa1, p_3, s_3, c_3Polygon(B', L_1, M_1) → pa2, d_3, g_4, l_4Polygon(D', B', M_1) → pa3, m_4, n_4, p_4Polygon(D', M_1, N_1) → pa4, q_4, r_4, s_4Polygon(D', N_1, P_1) → pa5, t_4, a_4, b_4Polygon(D', P_1, H) → pa6, h_6, c_4, l_5Polygon(E, H, P_1) → pa7, m_5, e_6, h_7Mirror(M_1, spieg) → S_1Mirror(P_1, spieg) → U_1Polygon(E, P_1, O_1) → pa8, o_1, e_7, d_5Polygon(E, O_1, W_1) → pa9, w_1, e_8, g_6Polygon(E, W_1, Z_1) → pa10, i_6, e_9, j_6Polygon(E, Z_1, A_2) → pa11, k_6, e_{13}, l_6Polygon(F, E, A_2) → pa12, m_6, f_7, e_{14}Polygon(F, A_2, D) → pa13, d_6, f_8, n_6Polygon(F, A_2, D) → pa14, d_7, f_9, p_6Polygon(D, A_2, B_2) → pa15, n_5, d_8, p_5Polygon(D, B_2, C_2) → pa16, q_5, d_9, r_5Polygon(D, C_2, B) → pa17, b_5, d_{10}, s_5Mirror(pa1, spieg) → pa31Mirror(pa2, spieg) → pa34Mirror(pa3, spieg) → pa35Mirror(pa4, spieg) → pa36Mirror(pa5, spieg) → pa37Mirror(pa6, spieg) → pa38Mirror(pa7, spieg) → pa39Mirror(pa8, spieg) → pa40Mirror(pa9, spieg) → pa21Mirror(pa10, spieg) → pa22Mirror(pa11, spieg) → pa23Mirror(pa12, spieg) → pa24Mirror(pa13, spieg) → pa25Mirror(pa14, spieg) → pa26Mirror(pa15, spieg) → pa27Mirror(pa16, spieg) → pa28Mirror(pa17, spieg) → pa29Polygon(B, D_2, C_2) → pa18, t_5, b_6, a_5Polygon(B, E_2, D_2) → pa19, q_6, b_7, r_6Mirror(pa18, spieg) → pa30Mirror(pa19, spieg) → pa32Polygon(B', C_1, K_1) → pa20, s_6, t_6, a_6Mirror(pa20, spieg) → pa33Mirror(C_2, spieg) → G_2Mirror(A_2, spieg) → I_2Polygon(K_1, L_1, E_2, F_2, H_2, J_2, K_2, V_1, T_1, R_1, Q_1, J_1, M_1, I_1, H_1, G_1, F_1, E_1, D_1, C_1, N_1, P_1, O_1, W_1, Z_1, B_2, D_2) → pa41, c_6, q_7, r_7, s_7, t_7, a_7, c_7, v_1, g_8, h_8, i_8, g_7, j_8, k_8, l_8, m_8, n_8, p_8, q_8, r_8, i_7, j_7, k_7, l_7, m_7, n_7, p_7Polygon(R_9, N_8 + ver, A'') → driehoek22, s_8, r_9, t_8Polygon(A, Z, L_8 + ver) → ro1, a_8, b_8, c_8Polygon(M, Z, L_8 + ver) → ro2, g_9, m_9, z_5Polygon(M, R, L_8 + ver) → ro3, h_9, m_{11}, r_{14}Polygon(R, C'_3, L_8 + ver) → ro4, i_9, r_{15}, j_9Mirror(ro1, spieg) → driehoek23'Mirror(ro2, spieg) → driehoek24'Mirror(ro3, spieg) → driehoek25'Mirror(ro4, spieg) → driehoek26'Polygon(C'_3, K_3, L_8 + ver) → ro5, k_9, l_9, n_9Polygon(L_3, K_3, L_8 + ver) → ro6, p_9, q_9, s_9Mirror(ro5, spieg) → driehoek27'Mirror(ro6, spieg) → driehoek28'Polygon(A, L_2, M_2) → ro7, t_9, a_9, b_9Mirror(ro7, spieg) → driehoek29'Polygon(L_3, N_3, O_2) → ro8, o_2, c_9, f_{10}Polygon(L_2, L_3, N_2) → ro9, g_{10}, i_{10}, j_{10}Polygon(L_3, O_2, N_2) → ro10, k_{10}, l_{10}, c_{10}Polygon(N_3, C'', O_2) → ro11, k_{11}, l_{11}, m_{12}Polygon(C'', T, O_2) → ro12, p_{12}, t_{12}, t_{14}Polygon(T, P, O_2) → ro13, b_{12}, t_{15}, p_{14}Polygon(P, W, O_2) → ro14, c_{12}, p_{15}, w_2Polygon(W, A'', O_2) → ro15, d_{12}, w_3, d_{13}Polygon(A'', R_9, O_2) → driehoek38, f_{14}, g_{14}, h_{14}Mirror(ro8, spieg) → driehoek30'Mirror(ro9, spieg) → driehoek31'Mirror(ro10, spieg) → driehoek32'Mirror(ro11, spieg) → driehoek33'Mirror(ro12, spieg) → driehoek34'Mirror(ro13, spieg) → driehoek35'Mirror(ro14, spieg) → driehoek36'Mirror(ro15, spieg) → driehoek37'Mirror(driehoek38, spieg) → driehoek38'Polygon(A'', Q_1, R_1, W) → ro20, i_{14}, j_{14}, k_{14}, w_4Polygon(O_2, S_2, A'') → ro16, s_{14}, a_{14}, b_{14}Mirror(ro16, spieg) → driehoek39'Polygon(A'', S_2, Q_1) → ro17, c_{14}, d_{14}, f_{15}Mirror(ro17, spieg) → driehoek40'Polygon(W, T, T_1, R_1) → ro22, w_5, t_{20}, g_{15}, h_{15}Mirror(ro22, spieg) → ro30Mirror(ro20, spieg) → ro28Polygon(T, N_3, V_1, T_1) → ro21, t_{21}, l_{14}, m_{14}, n_{14}Mirror(ro21, spieg) → ro29Polygon(N_3, L_3, K_2, V_1) → ro23, q_{14}, i_{15}, j_{15}, k_{15}Mirror(ro23, spieg) → ro31Polygon(L_3, K_3, J_2, K_2) → ro24, l_{15}, m_{15}, n_{15}, q_{15}Mirror(ro24, spieg) → ro32Polygon(K_3, R, H_2, J_2) → ro25, s_{15}, r_{20}, a_{15}, b_{15}Mirror(ro25, spieg) → ro33Polygon(R, Z, F_2, H_2) → ro26, r_{21}, z_6, c_{15}, d_{15}Mirror(ro26, spieg) → ro34Polygon(Z, A, E_2, F_2) → ro27, z_7, a_{17}, e_{15}, f_{16}Polygon(S_2, O_2, L_1, N_1, O_1, W_1, Z_1, B_2, D_2, E_2, F_2, H_2, N_2, J_2, K_2, V_1, T_1, R_1, Q_1, L_2, M_2, P_2, Q_2, R_2, T_2, K_1) → ro19, g_{16}, b_{19}, c_{19}, d_{19}, e_{19}, f_{20}, p_{20}, q_{20}, s_{20}, a_{20}, b_{20}, h_{16}, c_{20}, d_{20}, e_{20}, f_{21}, g_{21}, h_{21}, q_{21}, p_{17}, q_{17}, b_{17}, f_{18}, h_{18}, i_{18}, p_{19}Mirror(ro27, spieg) → ro35Mirror(ro2, spieg) → ro2_2Mirror(ro3, spieg) → ro3_2Mirror(ro1, spieg) → ro1_2Mirror(ro4, spieg) → ro4_2Mirror(ro5, spieg) → ro5_2Mirror(ro6, spieg) → ro6_2Mirror(ro7, spieg) → ro7_2Mirror(ro8, spieg) → ro8_2Mirror(ro9, spieg) → ro9_2Mirror(ro10, spieg) → ro10_2Mirror(ro11, spieg) → ro11_2Mirror(ro12, spieg) → ro12_2Mirror(ro13, spieg) → ro13_2Mirror(ro14, spieg) → ro14_2Mirror(ro15, spieg) → ro15_2Mirror(ro16, spieg) → ro16_2Polygon(A', K_1, T_2) → ro18, m_{21}, n_{21}, p_{21}Polygon(R_9, N_8, U_2) → geel1, u_2, s_{21}, a_{21}Polygon(N_8, V_2, U_2) → geel2, b_{21}, c_{21}, v_2Polygon(N_8, W_2, V_2) → geel3, d_{21}, e_{21}, f_{22}Polygon(N_8, M_8, W_2) → geel4, g_{22}, h_{22}, i_{22}Polygon(M_8, L_8, W_2) → geel5, j_{22}, k_{22}, l_{22}Polygon(L_8, Z_2, W_2) → geel6, m_{22}, n_{22}, p_{22}Polygon(L_8, B_3, Z_2) → geel7, q_{22}, r_{22}, s_{22}Polygon(L_8, O_8, B_3) → geel8, t_{22}, a_{22}, b_{22}Mirror(geel1, spieg) → geel10Mirror(geel2, spieg) → geel11Mirror(geel3, spieg) → geel12Mirror(geel4, spieg) → geel13Mirror(geel5, spieg) → geel14Mirror(geel6, spieg) → geel15Mirror(geel7, spieg) → geel16Mirror(geel8, spieg) → geel17Polygon(R_9, U_2, S_2) → geel9, c_{22}, d_{22}, e_{22}Mirror(geel9, spieg) → geel18Polygon(R_9, N_8, O_2, S_2) → geel19, f_{23}, g_{23}, h_{23}, i_{23}Mirror(geel19, spieg) → geel22Polygon(N_8, M_8, N_2, O_2) → geel20, j_{23}, k_{23}, l_{23}, m_{23}Mirror(geel20, spieg) → geel23Polygon(M_8, O_8, M_2, N_2) → geel21, n_{23}, p_{23}, q_{23}, r_{23}Mirror(geel21, spieg) → geel24Polygon(U_2, V_2, S_2, Z_2, A_3, D_3, E_3, T_2, Q_2, M_2, N_2) → geel25, s_{23}, h_{24}, i_{24}, t_{23}, a_{23}, b_{23}, c_{23}, d_{23}, e_{23}, f_{24}, g_{24}Polygon(C_{10}, F_3, B_{10}) → groen1, j_{24}, k_{24}, l_{24}Polygon(B_{10}, A_{10}, F_3) → groen2, m_{24}, n_{24}, p_{24}Polygon(A_{10}, E_{10}, F_3) → groen3, q_{24}, r_{24}, s_{24}Polygon(E_{10}, T_9, F_3) → groen4, t_{24}, a_{24}, b_{24}Polygon(T_9, D_{10}, F_3) → groen5, c_{24}, d_{24}, e_{24}Polygon(D_{10}, F_3, P_9) → groen6, f_{25}, g_{25}, h_{25}Polygon(P_9, F_3, U_9) → groen7, u_9, i_{25}, j_{25}Polygon(S_9, U_9, F_3) → groen8, k_{25}, l_{25}, m_{25}Polygon(C_{10}, F_3, U_2) → groen9, n_{25}, p_{25}, q_{25}Polygon(S_9, E_3, F_3) → groen10, r_{25}, s_{25}, t_{25}Polygon(C_{10}, B_{10}, V_2, U_2) → groen11, a_{25}, b_{25}, c_{25}, d_{25}Mirror(groen11, spieg) → groen14Polygon(B_{10}, E_{10}, Z_2, V_2) → groen12, e_{25}, f_{26}, g_{26}, h_{26}Mirror(groen12, spieg) → groen15Polygon(E_{10}, D_{10}, A_3, Z_2) → groen13, i_{26}, j_{26}, k_{26}, l_{26}Polygon(U_2, E_3, D_3, A_3, Z_2, V_2) → groenboven, m_{26}, n_{26}, p_{26}, q_{26}, r_{26}, s_{26}Translate(groewand, Vector[(-ver)]) → groewand'Translate(gewand, Vector[(-ver)]) → gewand'Translate(rowand, Vector[(-ver)]) → rowand'Translate(pawand, Vector[(-ver)]) → pawand'If(ss < 1, Translate[rolijst, Vector[((2 * ss) * ver)]], Translate[rolijst, Vector[(2 * ver)]]) → rolijstdynIf(ss < 1, Translate[rowand', Vector[((2 * ss) * ver)]], Translate[rowand', Vector[(2 * ver)]]) → rowanddynIf(ss ≤ 1, geellijst, If[1 < ss < 2, Translate[geellijst, Vector[(((ss - 1) * 4) * ver)]], Translate[geellijst, Vector[(4 * ver)]]]) → geellijstdynIf(ss ≤ 1, gewand', If[1 < ss < 2, Translate[gewand', Vector[(((ss - 1) * 4) * ver)]], Translate[gewand', Vector[(4 * ver)]]]) → gewanddynIf(ss ≤ 2, groelijst, If[2 < ss, Translate[groelijst, Vector[(((ss - 2) * 6) * ver)]]]) → groelijstdynIf(ss ≤ 2, groewand', If[2 < ss, Translate[groewand', Vector[(((ss - 2) * 6) * ver)]]]) → groewanddyn
AI 绘图提示语参考
利用多边形构造和几何变换(如镜像、旋转、移动)来构建复杂的平面图案。重点在于细胞重复和对称性,通过多边形、交点和对角线的关系生成规则图案。构造顺序包括初始点定位、多边形创建、镜像和旋转操作、交点计算以及最终多边形生成。适合用于探索对称、规则排列和参数化形状的数学建模。
以上提示语为根据原始绘图命令整理而来,仅供参考。