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Girih Tiles on Maragha Mausoleum

Girih Tiles on Maragha Mausoleum
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2019-03-06 17:30
PolygonGeometric Construction
This example demonstrates the girih tiles pattern on the Maragha Mausoleum, involving core math concepts like polygons, symmetry, and geometric construction. It uses commands like Polygon and Point in GeoGebra for creation, suitable for high school and above exploring geometric patterns and properties.

GeoGebra Commands & Parameters

  1. Polygon(C, D, E, F, G, H) → veelhoek1, c, d, e, f, g, h
  2. Polygon(F, I, J, K, L, M) → veelhoek2, f_1, i, j, k, l, m
  3. Polygon(F, G, N, O, P, M) → veelhoek3, f_2, g_1, n, o, p, m_1
  4. Polygon(L, M, P, Q, R, K) → veelhoek4, l_1, m_2, p_1, q, r, k_1
  5. Polygon(R, Q, P, O, S, T) → veelhoek5, r_1, q_1, p_2, o_1, s, t
  6. Polygon(O, N, U, V, W, Z) → veelhoek6, o_2, n_1, u, v, w, z_1
  7. Polygon(V, U, N, G, H, C) → veelhoek7, v_1, u_1, n_2, g_2, h_1, c_1
  8. Point(xAxis) → D_1
  9. Polygon(O, Z, A_1, B_1, C_1, D_1) → veelhoek8, o_3, z_2, a_1, b_1, a, d_1
  10. Polygon(O, D_1, E_1, F_1, G_1, S) → veelhoek9, o_4, b, e_1, i_1, j_1, s_1
  11. Polygon(B_1, C_1, H_1, I_1, J_1, K_1) → veelhoek10, t_1, h_2, i_2, j_2, k_2, l_2
  12. Polygon(F_1, E_1, D_1, C_1, H_1, I_1) → veelhoek11, q_2, r_2, s_2, t_2, a_2, b_2
  13. Polygon(L_1, T, S, G_1) → vierhoek1, c_2, t_3, s_3, d_2
  14. Polygon(L_1, G_1, F_1, M_1) → vierhoek2, e_2, f_3, g_3, h_3
  15. Polygon(R, T, L_1, N_1) → vierhoek3, r_3, t_4, i_3, j_3
  16. Polygon(O_1, L_1, M_1, P_1) → vierhoek4, n_3, p_3, q_3, a_3
  17. Polygon(N_1, L_1, O_1, Q_1) → vierhoek5, k_3, l_3, m_3, b_3
  18. Polygon(P_1, M_1, F_1, R_1, S_1, T_1) → veelhoek12, c_3, d_3, e_3, f_4, g_4, h_4
  19. Polygon(T_1, S_1, U_1, V_1, W_1, Z_1) → veelhoek13, i_4, j_4, k_4, l_4, w_1, m_4
  20. Polygon(I_1, A_2, B_2, V_1, U_1, C_2) → veelhoek14, n_4, p_4, q_4, r_4, s_4, a_4
  21. Polygon(F_1, I_1, C_2, U_1, S_1, R_1) → veelhoek15, b_4, c_4, d_4, e_4, f_5, g_5
  22. Polygon(I_1, J_1, D_2, A_2) → vierhoek6, h_5, i_5, j_5, k_5
  23. Polygon(D_2, J_1, K_1, E_2) → vierhoek7, l_5, m_5, n_5, p_5
  24. Polygon(D_2, A_2, B_2, F_2) → vierhoek8, q_5, r_5, s_5, t_5
  25. Polygon(F_2, G_2, H_2, D_2) → vierhoek9, a_5, b_5, c_5, d_5
  26. Polygon(D_2, E_2, I_2, H_2) → vierhoek10, e_5, f_6, g_6, h_6
  27. Polygon(W_1, V_1, J_2, K_2, L_2, M_2) → veelhoek16, i_6, j_6, k_6, l_6, m_6, n_6
  28. Polygon(Z_1, W_1, M_2, L_2, N_2, O_2) → veelhoek17, p_6, q_6, r_6, s_6, t_6, a_6
  29. Polygon(J_2, R_2, S_2, T_2, L_2, K_2) → veelhoek18, b_6, c_6, d_6, e_6, f_7, g_7
  30. Polygon(T_2, S_2, R_2, U_2, V_2) → veelhoek19, h_7, i_7, j_7, u_2, v_2
  31. Polygon(P_2, R_2, J_2, V_1, B_2, F_2, G_2, Q_2, W_2, Z_2) → veelhoek20, k_7, t_7, l_7, m_7, n_7, p_7, q_7, r_7, s_7, w_2
  32. Point(yAxis) → A_3
  33. Polygon(I, J, A_3, B_3) → vierhoek11, i_8, j_8, a_7, b_7
  34. Polygon(E, F, I, B_3) → vierhoek12, e_7, f_8, i_9, c_7
  35. Polygon(A_1, Z, W, V, C_3) → veelhoek21, d_7, z_3, w_3, v_3, g_8
  36. Polygon(D_3, Z_2, W_2, Q_2) → vierhoek13, h_8, k_8, l_8, m_8
  37. Polygon(D_3, Z_2, W_2, Q_2) → vierhoek14, n_8, p_8, q_8, r_8
  38. Polygon(E_3, F_3, G_3) → driehoek1, s_8, t_8, a_8