Girig Tiles and Decorative Patterns

Girig Tiles and Decorative Patterns
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2019-03-06 17:52
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

  1. Polygon(J, I, H, G, P, O, N, M, L, K) → veelhoek1, j, k, i, h, g, p, o, n, m, l
  2. Polygon(K, Q, R, S, T, J) → veelhoek2, k_1, q, r, s, t, j_1
  3. Polygon(Q, U, V, W, S, R) → veelhoek3, q_1, u, v, w, s_1, r_1
  4. Polygon(K, Z, A_1, B_1, U, Q) → veelhoek4, k_2, z_1, a_1, b_1, u_1, q_2
  5. Polygon(K, L, C_1, D_1, E_1, Z) → veelhoek5, k_3, l_1, c_1, d_1, e_1, z_2
  6. Polygon(A_1, Z, E_1, D_1, F_1, G_1) → veelhoek6, f, z_3, a, b, f_1, g_1
  7. Polygon(D_1, C_1, L, M, H_1, I_1) → veelhoek7, c, d, l_2, m_1, h_1, i_1
  8. Polygon(I, J, T, J_1) → vierhoek1, i_2, j_2, t_1, e
  9. Polygon(J_1, T, S, K_1) → vierhoek2, n_1, t_2, s_2, p_1
  10. Polygon(J_1, K_1, L_1, M_1) → vierhoek3, f_2, g_2, h_2, m_2
  11. Polygon(J_1, M_1, N_1, O_1) → vierhoek4, n_2, p_2, r_2, o_1
  12. Polygon(J_1, O_1, H, I) → vierhoek5, a_2, b_2, h_3, i_3
  13. Polygon(W, V, U, B_1, S_1, T_1) → veelhoek9, w_1, v_1, u_2, f_3, j_3, l_3
  14. Polygon(S, W, U_1, V_1, W_1, Z_1) → veelhoek10, s_3, w_2, m_3, n_3, q_3, r_3
  15. Polygon(W_1, A_2, L_1, K_1, S, Z_1) → veelhoek11, t_3, a_3, b_3, c_3, s_4, d_3
  16. Polygon(V_1, U_1, W, B_2, C_2, D_2) → veelhoek12, e_3, f_4, w_3, g_4, h_4, i_4
  17. Polygon(B_2, W, T_1, E_2) → vierhoek6, j_4, w_4, k_4, l_4
  18. Polygon(C_2, B_2, E_2, F_2) → vierhoek7, m_4, n_4, p_4, q_4
  19. Polygon(A_2, W_1, V_1, D_2, G_2, H_2) → veelhoek13, r_4, t_4, a_4, b_4, c_4, d_4
  20. Polygon(E_2, T_1, S_1, I_2) → vierhoek8, e_4, f_5, g_5, h_5
  21. Polygon(F_2, E_2, J_2, K_2) → vierhoek9, i_5, j_5, k_5, l_5
  22. Polygon(D_2, C_2, F_2, K_2, L_2, M_2) → veelhoek14, m_5, n_5, p_5, q_5, r_5, s_5
  23. Polygon(B_1, A_1, G_1, F_1, N_2, O_2) → veelhoek15, t_5, a_5, b_5, c_5, d_5, e_5
  24. Polygon(B_1, P_2, Q_2, R_2, I_2, S_1) → veelhoek16, f_6, g_6, h_6, i_6, j_6, k_6
  25. Polygon(J_2, E_2, I_2, R_2) → vierhoek10, l_6, m_6, n_6, p_6
  26. Polygon(J_2, S_2, T_2, U_2, V_2, K_2) → veelhoek17, q_6, r_6, s_6, t_6, v_2, a_6
  27. Polygon(M_2, L_2, K_2, V_2, W_2, Z_2) → veelhoek18, b_6, c_6, d_6, e_6, f_7, g_7
  28. Polygon(D_2, M_2, Z_2, A_3, B_3, C_3) → veelhoek19, h_7, i_7, j_7, k_7, l_7, m_7
  29. Polygon(D_2, C_3, D_3, E_3, F_3, G_2) → veelhoek20, n_7, p_7, q_7, r_7, s_7, t_7
  30. Polygon(E_3, G_3, H_3, H_2, G_2, F_3) → veelhoek21, a_7, b_7, c_7, d_7, e_7, f_8
  31. Polygon(G_3, I_3, J_3, A_2, H_2, H_3) → veelhoek22, g_8, h_8, i_8, j_8, k_8, l_8
  32. Polygon(A_2, K_3, L_3, N_1, M_1, L_1) → veelhoek23, m_8, n_8, p_8, q_8, r_8, s_8
  33. Polygon(A_3, Z_2, W_2, V_2, M_3, N_3) → veelhoek24, t_8, a_8, b_8, c_8, d_8, e_8
  34. Polygon(M_3, O_3, P_3, N_3) → vierhoek11, f_9, o_3, g_9, h_9
  35. Polygon(E_3, D_3, C_3, B_3, Q_3, R_3) → veelhoek25, i_9, j_9, k_9, l_9, m_9, n_9
  36. Polygon(S_3, T_3, E_3, R_3, U_3) → veelhoek26, p_9, q_9, r_9, s_9, u_3
  37. Polygon(V_3, R_3, Q_3, B_3, A_3, W_3) → veelhoek27, v_3, t_9, a_9, b_9, c_9, d_9
  38. Polygon(O_1, Z_3, A_4, P_1, G, H) → veelhoek28, e_9, f_{10}, g_{10}, h_{10}, g_{11}, h_{11}
  39. Polygon(N, N_4, L_4, I_1, H_1, M) → veelhoek30, n_{10}, p_{10}, q_{10}, r_{10}, s_{10}, m_{11}
  40. 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}
  41. 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}
  42. 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}
  43. 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}
  44. 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}
  45. 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}
  46. 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}
  47. 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}
  48. Polygon(O_3, M_3, V_2, U_2) → vierhoek15, r_{13}, s_{13}, t_{13}, b_{13}
  49. 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_4
  50. Polygon(P_1, Q_1, S_4, O, P, G) → veelhoek39, c_2, d_2, g_3, o_2, p_3, g_{15}
  51. Polygon(W_3, A_3, N_3, P_3) → vierhoek12, i_{10}, j_{10}, k_{10}, l_{10}
  52. Polygon(O_3, U_2, C_5, K_4) → vierhoek13, m_{10}, b_{10}, t_{12}, a_{12}
  53. Polygon(P_3, O_3, K_4, D_5) → vierhoek14, b_{12}, c_{12}, d_{12}, p_{13}
  54. 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}
  55. 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}
  56. 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}
  57. 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}
  58. 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}
  59. 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}
  60. 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}
  61. 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}
  62. 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}
  63. 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}
  64. 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_5
  65. Polygon(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.