Girig Tiles and Decorative Patterns
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This example demonstrates girig tiles and decorative patterns. Key mathematical concepts include polygons and symmetry. Using GeoGebra commands such as Polygon and afbeelding1, one can construct beautiful patterns. Suitable for middle school and above students to learn geometric constructions.
GeoGebra Commands & Parameters
Polygon(J, I, H, G, P, O, N, M, L, K) → veelhoek1, j, k, i, h, g, p, o, n, m, lPolygon(K, Q, R, S, T, J) → veelhoek2, k_1, q, r, s, t, j_1Polygon(Q, U, V, W, S, R) → veelhoek3, q_1, u, v, w, s_1, r_1Polygon(K, Z, A_1, B_1, U, Q) → veelhoek4, k_2, z_1, a_1, b_1, u_1, q_2Polygon(K, L, C_1, D_1, E_1, Z) → veelhoek5, k_3, l_1, c_1, d_1, e_1, z_2Polygon(A_1, Z, E_1, D_1, F_1, G_1) → veelhoek6, f, z_3, a, b, f_1, g_1Polygon(D_1, C_1, L, M, H_1, I_1) → veelhoek7, c, d, l_2, m_1, h_1, i_1Polygon(I, J, T, J_1) → vierhoek1, i_2, j_2, t_1, ePolygon(J_1, T, S, K_1) → vierhoek2, n_1, t_2, s_2, p_1Polygon(J_1, K_1, L_1, M_1) → vierhoek3, f_2, g_2, h_2, m_2Polygon(J_1, M_1, N_1, O_1) → vierhoek4, n_2, p_2, r_2, o_1Polygon(J_1, O_1, H, I) → vierhoek5, a_2, b_2, h_3, i_3Polygon(W, V, U, B_1, S_1, T_1) → veelhoek9, w_1, v_1, u_2, f_3, j_3, l_3Polygon(S, W, U_1, V_1, W_1, Z_1) → veelhoek10, s_3, w_2, m_3, n_3, q_3, r_3Polygon(W_1, A_2, L_1, K_1, S, Z_1) → veelhoek11, t_3, a_3, b_3, c_3, s_4, d_3Polygon(V_1, U_1, W, B_2, C_2, D_2) → veelhoek12, e_3, f_4, w_3, g_4, h_4, i_4Polygon(B_2, W, T_1, E_2) → vierhoek6, j_4, w_4, k_4, l_4Polygon(C_2, B_2, E_2, F_2) → vierhoek7, m_4, n_4, p_4, q_4Polygon(A_2, W_1, V_1, D_2, G_2, H_2) → veelhoek13, r_4, t_4, a_4, b_4, c_4, d_4Polygon(E_2, T_1, S_1, I_2) → vierhoek8, e_4, f_5, g_5, h_5Polygon(F_2, E_2, J_2, K_2) → vierhoek9, i_5, j_5, k_5, l_5Polygon(D_2, C_2, F_2, K_2, L_2, M_2) → veelhoek14, m_5, n_5, p_5, q_5, r_5, s_5Polygon(B_1, A_1, G_1, F_1, N_2, O_2) → veelhoek15, t_5, a_5, b_5, c_5, d_5, e_5Polygon(B_1, P_2, Q_2, R_2, I_2, S_1) → veelhoek16, f_6, g_6, h_6, i_6, j_6, k_6Polygon(J_2, E_2, I_2, R_2) → vierhoek10, l_6, m_6, n_6, p_6Polygon(J_2, S_2, T_2, U_2, V_2, K_2) → veelhoek17, q_6, r_6, s_6, t_6, v_2, a_6Polygon(M_2, L_2, K_2, V_2, W_2, Z_2) → veelhoek18, b_6, c_6, d_6, e_6, f_7, g_7Polygon(D_2, M_2, Z_2, A_3, B_3, C_3) → veelhoek19, h_7, i_7, j_7, k_7, l_7, m_7Polygon(D_2, C_3, D_3, E_3, F_3, G_2) → veelhoek20, n_7, p_7, q_7, r_7, s_7, t_7Polygon(E_3, G_3, H_3, H_2, G_2, F_3) → veelhoek21, a_7, b_7, c_7, d_7, e_7, f_8Polygon(G_3, I_3, J_3, A_2, H_2, H_3) → veelhoek22, g_8, h_8, i_8, j_8, k_8, l_8Polygon(A_2, K_3, L_3, N_1, M_1, L_1) → veelhoek23, m_8, n_8, p_8, q_8, r_8, s_8Polygon(A_3, Z_2, W_2, V_2, M_3, N_3) → veelhoek24, t_8, a_8, b_8, c_8, d_8, e_8Polygon(M_3, O_3, P_3, N_3) → vierhoek11, f_9, o_3, g_9, h_9Polygon(E_3, D_3, C_3, B_3, Q_3, R_3) → veelhoek25, i_9, j_9, k_9, l_9, m_9, n_9Polygon(S_3, T_3, E_3, R_3, U_3) → veelhoek26, p_9, q_9, r_9, s_9, u_3Polygon(V_3, R_3, Q_3, B_3, A_3, W_3) → veelhoek27, v_3, t_9, a_9, b_9, c_9, d_9Polygon(O_1, Z_3, A_4, P_1, G, H) → veelhoek28, e_9, f_{10}, g_{10}, h_{10}, g_{11}, h_{11}Polygon(N, N_4, L_4, I_1, H_1, M) → veelhoek30, n_{10}, p_{10}, q_{10}, r_{10}, s_{10}, m_{11}Polygon(G_3, F_4, M_4, E_4, J_3, I_3) → veelhoek8, e_2, t_{10}, a_{10}, c_{10}, d_{10}, e_{10}Polygon(F_4, G_3, E_3, T_3, G_4, R_1) → veelhoek31, f_{11}, i_{11}, j_{11}, k_{11}, l_{11}, n_{11}Polygon(O_4, D_4, K_3, A_2, J_3, E_4) → veelhoek32, o_4, p_{11}, q_{11}, r_{11}, s_{11}, t_{11}Polygon(D_4, K_3, L_3, N_1, B_4, F) → veelhoek33, a_{11}, b_{11}, c_{11}, d_{11}, e_{11}, f_{12}Polygon(B_4, P_4, C_4, Z_3, O_1, N_1) → veelhoek34, g_{12}, h_{12}, i_{12}, j_{12}, k_{12}, l_{12}Polygon(Z_3, C_4, R_4, Q_4, P_1, A_4) → veelhoek35, m_{12}, n_{12}, p_{12}, q_{12}, r_{12}, s_{12}Polygon(R_2, I_4, W_4, J_4, P_2, Q_2) → veelhoek36, e_{12}, f_{13}, g_{13}, h_{13}, i_{13}, j_{13}Polygon(S_2, J_2, R_2, I_4, Z_4, H_4) → veelhoek37, k_{13}, l_{13}, m_{13}, n_{13}, z_4, q_{13}Polygon(O_3, M_3, V_2, U_2) → vierhoek15, r_{13}, s_{13}, t_{13}, b_{13}Polygon(A_5, T_4, F_1, D_1, U_4, V_4) → veelhoek38, c_{13}, d_{13}, e_{13}, f_{14}, u_4, v_4Polygon(P_1, Q_1, S_4, O, P, G) → veelhoek39, c_2, d_2, g_3, o_2, p_3, g_{15}Polygon(W_3, A_3, N_3, P_3) → vierhoek12, i_{10}, j_{10}, k_{10}, l_{10}Polygon(O_3, U_2, C_5, K_4) → vierhoek13, m_{10}, b_{10}, t_{12}, a_{12}Polygon(P_3, O_3, K_4, D_5) → vierhoek14, b_{12}, c_{12}, d_{12}, p_{13}Polygon(B_1, O_2, E_5, F_5, J_4, P_2) → veelhoek29, a_{13}, k_{14}, l_{14}, m_{14}, n_{14}, p_{14}Polygon(O_2, N_2, F_1, T_4, G_5, E_5) → veelhoek40, q_{14}, r_{14}, s_{14}, t_{14}, a_{14}, b_{14}Polygon(U_2, T_2, S_2, H_4, B_5, C_5) → veelhoek41, g_{14}, h_{14}, i_{14}, j_{14}, c_{14}, d_{14}Polygon(Q_4, P_1, Q_1, S_4, H_5, I_5) → veelhoek42, e_{14}, f_{15}, h_{15}, i_{15}, j_{15}, k_{15}Polygon(F_4, M_5, L_5, O_4, E_4, M_4) → veelhoek43, l_{15}, m_{15}, n_{15}, p_{15}, q_{15}, r_{15}Polygon(C_5, B_5, H_4, Z_4, K_5, J_5) → veelhoek44, s_{15}, t_{15}, a_{15}, b_{15}, c_{15}, d_{15}Polygon(I_4, W_4, J_4, F_5, R_5, S_5) → veelhoek45, e_{15}, f_{16}, g_{16}, h_{16}, i_{16}, j_{16}Polygon(T_4, T_5, U_5, F_5, E_5, G_5) → veelhoek46, k_{16}, l_{16}, u_5, m_{16}, n_{16}, p_{16}Polygon(B_4, N_5, O_5, O_4, D_4, F) → veelhoek47, q_{16}, r_{16}, o_5, s_{16}, t_{16}, f_{17}Polygon(P_4, P_5, Q_5, Q_4, R_4, C_4) → veelhoek48, a_{16}, b_{16}, c_{16}, d_{16}, e_{16}, g_{17}Polygon(L_4, I_1, D_1, U_4, V_4, V_5, W_5) → veelhoek49, h_{17}, i_{17}, j_{17}, k_{17}, l_{17}, v_5, w_5Polygon(N_4, N, O, S_4, Z_5) → veelhoek50, m_{17}, n_{17}, o_6, p_{17}, z_5
AI Drawing Prompt Reference
Create a decorative pattern composed of multiple polygons and quadrilaterals, connected through translations and rotations. Start by drawing a regular polygon, then add other polygons around it, ensuring they have a symmetrical relationship.
The prompt above was compiled from the original drawing commands and is for reference only.