伊斯兰几何图案
几何画板及绘图内容加载中,请稍等……
这个范例展示了伊斯兰几何图案的构造方法。涉及的核心数学概念包括对称性、多边形和几何作图。通过使用CircleArc、Point、Polygon等GeoGebra命令,可以构造出复杂的几何图案。适合初中及以上学生学习几何作图和对称性。
GeoGebra 命令及参数
CircleArc(I, J, H) → cPoint(c) → S_1Point(c) → T_1Point(c) → U_1Polygon(N_1, G_6, F_6, E_6) → vierhoek1, n_1, g_6, f_6, e_6Polygon(F_6, H_6, W_5, V_5) → vierhoek2, f, h_6, w_5, v_5Polygon(E_6, L_1, M_1) → driehoek1, m_1, g, l_1Polygon(L_1, U_5, K_1) → driehoek2, k_1, h, u_5Polygon(U_5, V_5, R_5, T_5) → vierhoek3, i, j, r_5, t_5Polygon(W_5, Z_5, A_6, Q_5) → vierhoek4, k, z_5, a_6, q_5Polygon(A_6, B_6, Z_4, A_5) → vierhoek5, l, b_6, z_4, a_5Polygon(K_6, U_1, J_6, I_6) → vierhoek6, k_6, u_1, j_6, i_6Polygon(L_6, O_1, J_6) → driehoek3, m, l_6, o_1Polygon(I_6, W_4, Z_4, C_6) → vierhoek7, n, w_4, p, c_6Polygon(O_1, P_1, V_4) → driehoek4, v_4, q, p_1Polygon(V_4, U_4, T_4, W_4) → vierhoek8, r, u_4, t_4, sPolygon(T_4, D_6, M_4, S_4) → vierhoek9, t, d_6, m_4, s_4Polygon(S_4, R_4, B_5, A_5) → vierhoek10, d, r_4, b_5, ePolygon(Q_5, P_5, O_5, N_5) → vierhoek11, f_1, p_5, o_5, n_5Polygon(N_5, M_5, S_5, R_5) → vierhoek12, g_1, m_5, s_5, h_1Polygon(M_5, K_5, J_5, L_5) → vierhoek13, i_1, k_5, j_5, l_5Polygon(J_5, I_1, J_1) → driehoek5, j_1, q_1, r_1Polygon(O_5, Q_4, C_5, D_5) → vierhoek14, s_1, q_4, c_5, d_5Polygon(Q_4, R_4, O_4, P_4) → vierhoek15, t_1, a_1, o_4, p_4Polygon(M_4, N_4, L_4, K_4) → vierhoek16, b_1, n_4, l_4, k_4Polygon(Q_1, R_1, L_4) → driehoek6, c_1, d_1, e_1Polygon(R_1, H_1, G_4) → driehoek7, g_4, f_2, g_2Polygon(K_4, I_4, J_4, O_4) → vierhoek17, h_2, i_4, j_4, i_2Polygon(K_5, D_5, E_5, F_5) → vierhoek18, j_2, k_2, e_5, f_5Polygon(F_5, G_5, U_3, H_5) → vierhoek19, l_2, g_5, u_3, h_5Polygon(I_1, H_5, E_1) → driehoek8, m_2, n_2, p_2Polygon(D_1, I_5, C_1) → driehoek9, q_2, r_2, i_5Polygon(U_3, V_3, W_3, I_5) → vierhoek20, s_2, v_3, w_3, t_2Polygon(I_4, G_4, F_4, H_4) → vierhoek21, a_2, b_2, f_4, h_4Polygon(F_4, E_4, C_4, D_4) → vierhoek22, c_2, e_4, c_4, d_4Polygon(G_1, F_1, E_4) → driehoek10, d_2, e_2, f_3Polygon(C_4, K_3, N_3, B_4) → vierhoek23, g_3, k_3, n_3, b_4Polygon(W_3, Z_3, O_3, R_3) → vierhoek24, h_3, z_3, o_3, r_3Polygon(O_3, A_4, N_3, M_3) → vierhoek25, i_3, a_4, j_3, m_3Polygon(F_1, R, J_3, I_3, K_3, L_3) → veelhoek1, l_3, r_6, p_3, q_3, s_3, t_3Polygon(C_1, S_3, R_3, P_3, Q_3, B_1) → veelhoek2, a_3, b_3, c_3, d_3, e_3, m_6Polygon(P_3, A_3, B_3, C_3) → vierhoek26, n_6, p_6, q_6, s_6Polygon(M_3, W_2, Z_2, A_3) → vierhoek27, t_6, w_2, z_2, f_7Polygon(W_2, I_3, U_2, V_2) → vierhoek28, g_7, h_7, u_2, v_2Polygon(R, Q, H_3) → driehoek11, i_7, r_7, q_7Polygon(U_2, H_3, S_2, T_2) → vierhoek29, j_7, k_7, l_7, m_7Polygon(S_2, Q_2, P_2, R_2) → vierhoek30, n_7, p_7, s_7, t_7Polygon(B_1, T_3, A_1) → driehoek12, a_7, b_7, c_7Polygon(T_3, C_3, D_3, E_3) → vierhoek31, d_7, e_7, f_8, g_8Polygon(E_3, F_3, N_2, M_2) → vierhoek32, h_8, i_8, j_8, k_8Polygon(Z, M_2, W) → driehoek13, w, z_1, l_8Polygon(N_2, G_3, O_2, J_2) → vierhoek33, m_8, n_8, o_2, p_8Polygon(Q_2, P, O) → driehoek14, o, q_8, p_9Polygon(M_6, P_2, K_2, O_2) → vierhoek34, r_8, s_8, t_8, a_8Polygon(O, N, H_2, G_2, K_2, L_2) → veelhoek3, o_6, n_9, b_8, c_8, d_8, e_8Polygon(W, N_6, J_2, F_2, I_2, V) → veelhoek4, w_1, f_9, g_9, h_9, i_9, vPolygon(F_2, G_2, D_2, C_2, Z_1, W_1, V_1, A_2, B_2, E_2) → veelhoek5, j_9, b_9, k_9, l_9, m_9, q_9, r_9, s_9, t_9, a_9Polygon(V, B_2, U) → driehoek15, u, v_1, c_9Polygon(N, C_2, M) → driehoek16, m_{10}, n_{10}, d_9Polygon(L, K, W_1) → driehoek17, e_9, l_{10}, k_{10}Polygon(T, V_1, S) → driehoek18, s_{10}, t_{10}, f_{10}Polygon(G, S, I, K) → vierhoek35, g_{10}, s_{11}, i_{10}, k_{11}Polygon(H, O_1, P, O, N, M, L, K, G, S, T, U, P_1, V, W, Z, A_1, B_1, C_1, D_1, E_1, I_1, J_1, Q_1, K_1, L_1, M_1, J, N_1, S_1, T_1, U_1, R_1, H_1, G_1, F_1, R, Q) → veelhoek6, h_{10}, q_{11}, p_{11}, o_7, n_{11}, m_{11}, l_{11}, k_{12}, g_{11}, s_{12}, t_{11}, j_{10}, u_6, v_6, w_6, z_6, d_{10}, e_{10}, f_{11}, h_{11}, i_{11}, j_{11}, p_{10}, a_{11}, b_{11}, c_{11}, d_{11}, j_{12}, e_{11}, f_{12}, g_{12}, h_{12}, q_{10}, r_{10}, a_{10}, b_{10}, c_{10}, r_{11}Polygon(O_6, P_6, A_7, Q_6, R_6, S_6, T_6, U_6, V_6, W_6, Z_6) → veelhoek7, i_{12}, b_{12}, c_{12}, l_{12}, m_{12}, n_{12}, p_{12}, q_{12}, r_{12}, t_{12}, a_{12}Intersect(c, j_{12}, 1) → B_7Intersect(c, e_{11}, 1) → C_7Intersect(c, f_{12}, 2) → D_7Intersect(c, j_{12}, 1) → K_7Intersect(c, j_{12}, 1) → L_7PolyLine(E_7, F_7, G_7, H_7, I_7, J_7, M_7) → d_{12}Segment(N_7, J_7) → e_{12}Segment(F_7, O_7) → f_{13}Segment(G_7, Q_6) → g_{13}Segment(R_6, P_7) → h_{13}Segment(A_7, Q_7) → i_{13}Segment(T_6, R_7) → j_{13}Segment(W_6, S_7) → k_{13}Polygon(U_6, T_7, U_7, V_7, W_7, Z_7, A_8, B_8, V_6) → veelhoek8, l_{13}, m_{13}, u_7, v_7, w_7, z_7, n_{13}, p_{13}, q_{13}Segment(B_8, C_8) → r_{13}Segment(T_7, D_8) → s_{13}Polygon(W_7, E_8, F_8, G_8, H_8, I_8) → veelhoek9, t_{13}, a_{13}, b_{13}, c_{13}, d_{13}, e_{13}Segment(V_7, J_8) → f_{14}Segment(I_8, K_8) → g_{14}Segment(E_8, L_8) → h_{14}Segment(G_8, M_8) → i_{14}Segment(G_8, N_8) → j_{14}Segment(Z_7, O_8) → k_{14}Segment(O_6, I_7) → l_{14}CircleSector(R_8, S_8, T_8) → c_{14}
AI 绘图提示语参考
绘制一个伊斯兰风格几何图案,以圆形为基础,在圆周上取多个点,并连接这些点形成大量多边形,包括四边形和三角形。图案由中心向外扩展,包含多个对称排列的星形和多边形组合,整体呈现高度对称的几何美感。构造时先画一个圆,在圆上取点,然后依次连接这些点构成各种多边形,逐步填充整个圆形区域,形成复杂的镶嵌图案。
以上提示语为根据原始绘图命令整理而来,仅供参考。