Border Tile
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This example demonstrates how to draw a border tile pattern using GeoGebra. Key mathematical concepts include geometry, squares, triangles, and dilation. Using commands like Polygon and objects, complex geometric shapes can be constructed. Suitable for middle school and above students to learn geometric construction and transformations.
GeoGebra Commands & Parameters
Polygon(A, B, C, D) → poly1, a, b, c, dPolygon(E, F, G, H) → poly2, e, f, g, hPolygon(E_1, F_1, G_1, H_1) → poly2_1, e_1, f_1, g_1, h_1Polygon(E_2, F_2, G_2, H_2) → poly2_2, e_2, f_2, g_2, h_2Polygon(E_3, F_3, G_3, H_3) → poly2_3, e_3, f_3, g_3, h_3Polygon(E_4, F_4, G_4, H_4) → poly2_4, e_4, f_4, g_4, h_4Polygon(E_5, F_5, G_5, H_5) → poly2_5, e_5, f_5, g_5, h_5Polygon(E_6, F_6, G_6, H_6) → poly2_6, e_6, f_6, g_6, h_6Polygon(E_7, F_7, G_7, H_7) → poly2_7, e_7, f_7, g_7, h_7Polygon(E_8, F_8, G_8, H_8) → poly2_8, e_8, f_8, g_8, h_8Polygon(E_9, F_9, G_9, H_9) → poly2_9, e_9, f_9, g_9, h_9Polygon(I, J, K) → poly3, k, i, jPolygon(I_1, J_1, K_1) → poly3_1, k_1, i_1, j_1Polygon(I_2, J_2, K_2) → poly3_2, k_2, i_2, j_2Polygon(I_3, J_3, K_3) → poly3_3, k_3, i_3, j_3Polygon(I_4, J_4, K_4) → poly3_4, k_4, i_4, j_4Polygon(I_5, J_5, K_5) → poly3_5, k_5, i_5, j_5Polygon(I_6, J_6, K_6) → poly3_6, k_6, i_6, j_6Polygon(I_7, J_7, K_7) → poly3_7, k_7, i_7, j_7Polygon(I_8, J_8, K_8) → poly3_8, k_8, i_8, j_8Polygon(I_9, J_9, K_9) → poly3_9, k_9, i_9, j_9Polygon(L, M, N) → poly4, n, l, mPolygon(L_1, M_1, N_1) → poly4_1, n_1, l_1, m_1Polygon(L_2, M_2, N_2) → poly4_2, n_2, l_2, m_2Polygon(L_3, M_3, N_3) → poly4_3, n_3, l_3, m_3Polygon(L_4, M_4, N_4) → poly4_4, n_4, l_4, m_4Polygon(L_5, M_5, N_5) → poly4_5, n_5, l_5, m_5Polygon(L_6, M_6, N_6) → poly4_6, n_6, l_6, m_6Polygon(L_7, M_7, N_7) → poly4_7, n_7, l_7, m_7Polygon(L_8, M_8, N_8) → poly4_8, n_8, l_8, m_8Polygon(L_9, M_9, N_9) → poly4_9, n_9, l_9, m_9Polygon(O, P, Q, R) → poly5, o, p, q, rPolygon(O_1, P_1, Q_1, R_1) → poly5_1, o_1, p_1, q_1, r_1Polygon(O_2, P_2, Q_2, R_2) → poly5_2, o_2, p_2, q_2, r_2Polygon(O_3, P_3, Q_3, R_3) → poly5_3, o_3, p_3, q_3, r_3Polygon(S, T, U) → poly6, u, s, tPolygon(S_1, T_1, U_1) → poly6_1, u_1, s_1, t_1Polygon(S_2, T_2, U_2) → poly6_2, u_2, s_2, t_2Polygon(S_3, T_3, U_3) → poly6_3, u_3, s_3, t_3Polygon(S_5, T_5, U_5) → poly6_5, u_5, s_5, t_5Polygon(V, W, Z) → poly7, z_1, v, wPolygon(V_1, W_1, Z_1) → poly7_1, z_2, v_1, w_1Polygon(V_2, W_2, Z_2) → poly7_2, z_3, v_2, w_2Polygon(V_3, W_3, Z_3) → poly7_3, z_4, v_3, w_3Polygon(V_5, W_5, Z_5) → poly7_5, z_6, v_5, w_5Polygon(A_1, B_1, C_1, D_1) → poly8, a_1, b_1, c_1, d_1Polygon(A_2, B_2, C_2, D_2) → poly8_1, a_2, b_2, c_2, d_2Polygon(A_3, B_3, C_3, D_3) → poly8_2, a_3, b_3, c_3, d_3Polygon(A_4, B_4, C_4, D_4) → poly8_3, a_4, b_4, c_4, d_4Polygon(O_4, P_4, Q_4) → poly9, q_4, o_4, p_4Polygon(R_4, A_5, B_5) → poly10, b_5, r_4, a_5Polygon(O_5, P_5, Q_5) → poly9_1, q_5, o_5, p_5Polygon(R_5, A_6, B_6) → poly10_1, b_6, r_5, a_6Polygon(O_6, P_6, Q_6) → poly9_2, q_6, o_6, p_6Polygon(R_6, A_7, B_7) → poly10_2, b_7, r_6, a_7Polygon(O_7, P_7, Q_7) → poly9_3, q_7, o_7, p_7Polygon(R_7, A_8, B_8) → poly10_3, b_8, r_7, a_8Polygon(O_8, P_8, Q_8) → poly9_4, q_8, o_8, p_8Polygon(R_8, A_9, B_9) → poly10_4, b_9, r_8, a_9Polygon(O_9, P_9, Q_9) → poly9_5, q_9, o_9, p_9Polygon(R_9, A_{10}, B_{10}) → poly10_5, b_{10}, r_9, a_{10}Polygon(O_{10}, P_{10}, Q_{10}) → poly9_6, q_{10}, o_{10}, p_{10}Polygon(R_{10}, A_{11}, B_{11}) → poly10_6, b_{11}, r_{10}, a_{11}Polygon(O_{11}, P_{11}, Q_{11}) → poly9_7, q_{11}, o_{11}, p_{11}Polygon(R_{11}, A_{12}, B_{12}) → poly10_7, b_{12}, r_{11}, a_{12}Polygon(O_{12}, P_{12}, Q_{12}) → poly9_8, q_{12}, o_{12}, p_{12}Polygon(R_{12}, A_{13}, B_{13}) → poly10_8, b_{13}, r_{12}, a_{13}Polygon(O_{13}, P_{13}, Q_{13}) → poly9_9, q_{13}, o_{13}, p_{13}Polygon(R_{13}, A_{14}, B_{14}) → poly10_9, b_{14}, r_{13}, a_{14}Polygon(C_5, D_5, C_6) → poly11, c_6, c_5, d_5Polygon(D_6, S_6, T_6) → poly12, t_6, d_6, s_6Polygon(C_7, D_7, C_8) → poly11_1, c_7, c_8, d_7Polygon(D_8, S_7, T_7) → poly12_1, t_7, d_8, s_7Polygon(C_9, D_9, C_{10}) → poly11_2, c_9, c_{10}, d_9Polygon(D_{10}, S_8, T_8) → poly12_2, t_8, d_{10}, s_8Polygon(C_{11}, D_{11}, C_{12}) → poly11_3, c_{11}, c_{12}, d_{11}Polygon(D_{12}, S_9, T_9) → poly12_3, t_9, d_{12}, s_9Polygon(C_{13}, D_{13}, C_{14}) → poly11_4, c_{13}, c_{14}, d_{13}Polygon(D_{14}, S_{10}, T_{10}) → poly12_4, t_{10}, d_{14}, s_{10}
AI Drawing Prompt Reference
Create a border tile pattern consisting of multiple squares and triangles. First, draw 9 squares, each with 4 vertices. Then, draw a smaller square in the center of each square. Next, draw a triangle in the center of each smaller square. Finally, draw 3 large triangles at the top-left, top-right, and bottom-right corners of the pattern.
The prompt above was compiled from the original drawing commands and is for reference only.