五重几何图案
几何画板及绘图内容加载中,请稍等……
本范例展示了伊斯兰几何图案中的五重对称性。它涉及到了几何变换中的镜像和旋转,以及多边形的构造。通过使用GeoGebra中的Intersect, Point, Polygon, Segment, Mirror, CircleArc, PolyLine等命令,可以构建出具有五重对称性的几何图案。适合高中及以上学生学习几何变换和对称性。
GeoGebra 命令及参数
Intersect(xAxis, yAxis) → APoint(xAxis) → BPolygon(A, B, 10) → veelhoek1, f, p, C, D, E, F, G, H, I, J, g, h, i, j, k, l, m, nPoint(xAxis) → KPoint(xAxis) → LPolygon(K, L, 10) → veelhoek2, q, f_1, M, N, O, P, Q, R, S, T, r, s, t, a, b, c, d, ePoint(xAxis) → UPoint(xAxis) → VPolygon(U, V, 10) → veelhoek3, g_1, q_1, W, Z, A_1, B_1, C_1, D_1, E_1, F_1, h_1, i_1, j_1, k_1, l_1, m_1, n_1, p_1Point(xAxis) → G_1Point(xAxis) → H_1Polygon(G_1, H_1, 10) → veelhoek4, r_1, g_2, I_1, J_1, K_1, L_1, M_1, N_1, O_1, P_1, s_1, t_1, a_1, b_1, c_1, d_1, e_1, f_2Segment(H, A) → h_2Segment(E, B) → i_2Segment(H, C) → j_2Segment(E, J) → k_2Polygon(A, B, 5) → veelhoek5, l_2, m_2, n_2, p_2, q_2, Q_1, R_1, S_1Segment(Q, L) → r_2Segment(P, K) → s_2Segment(R, O) → t_2Segment(T, M) → a_2Intersect(r_2, t_2) → T_1Intersect(r_2, s_2) → U_1Intersect(s_2, a_2) → V_1Polygon(R, S, T, V_1, U_1, T_1) → veelhoek6, r_3, s_3, t_3, v_1, u_1, b_2Segment(F_1, A_1) → c_4Segment(W, D_1) → d_4Segment(F_1, W) → c_2Mirror(U, c_2) → U'Mirror(V, c_2) → V'CircleArc(F_1, U, E_1) → e_4CircleArc(W, Z, V) → c_5Polygon(F_1, U, V, W, V', U') → veelhoek7, d_2, u, v, w, v', u'PolyLine(F_1, U', V', W) → e_2Segment(N_1, G_1) → f_3Segment(N_1, K_1) → g_3Segment(K_1, H_1) → h_3Mirror(O_1, f_3) → W_1Mirror(P_1, f_3) → Z_1Mirror(L_1, g_3) → A_2Mirror(I_1, h_3) → B_2Polygon(G_1, Z_1, W_1, N_1, O_1, P_1) → veelhoek8, i_3, z_1, w_1, j_3, o_1, k_3Polygon(N_1, W_1, A_2, K_1, L_1, M_1) → veelhoek9, l_3, m_3, n_3, p_3, q_3, a_3Polygon(K_1, A_2, B_2, H_1, I_1, J_1) → veelhoek10, b_3, c_3, d_3, e_3, f_4, g_4Polygon(W_1, Z_1, G_1, H_1, B_2, A_2) → veelhoek12, n_4, p_4, q_4, r_4, s_4, t_4Segment(N_1, W_1) → a_4Segment(A_2, K_1) → b_4Polygon(G_1, H_1, B_2, A_2, W_1, Z_1) → veelhoek11, h_4, i_4, j_4, k_4, l_4, m_4
AI 绘图提示语参考
绘制一个五重对称图案,包含五个五边形和一些连接线。首先在x轴上选择五个点,分别绘制五个五边形,然后通过这些五边形的顶点绘制连接线,形成对称图案。
以上提示语为根据原始绘图命令整理而来,仅供参考。