Islamic Geometric Patterns

GeoGebra Commands & Parameters

1. CircleArc(I, J, H) → c
2. Point(c) → S_1
3. Point(c) → T_1
4. Point(c) → U_1
5. Polygon(N_1, G_6, F_6, E_6) → vierhoek1, n_1, g_6, f_6, e_6
6. Polygon(F_6, H_6, W_5, V_5) → vierhoek2, f, h_6, w_5, v_5
7. Polygon(E_6, L_1, M_1) → driehoek1, m_1, g, l_1
8. Polygon(L_1, U_5, K_1) → driehoek2, k_1, h, u_5
9. Polygon(U_5, V_5, R_5, T_5) → vierhoek3, i, j, r_5, t_5
10. Polygon(W_5, Z_5, A_6, Q_5) → vierhoek4, k, z_5, a_6, q_5
11. Polygon(A_6, B_6, Z_4, A_5) → vierhoek5, l, b_6, z_4, a_5
12. Polygon(K_6, U_1, J_6, I_6) → vierhoek6, k_6, u_1, j_6, i_6
13. Polygon(L_6, O_1, J_6) → driehoek3, m, l_6, o_1
14. Polygon(I_6, W_4, Z_4, C_6) → vierhoek7, n, w_4, p, c_6
15. Polygon(O_1, P_1, V_4) → driehoek4, v_4, q, p_1
16. Polygon(V_4, U_4, T_4, W_4) → vierhoek8, r, u_4, t_4, s
17. Polygon(T_4, D_6, M_4, S_4) → vierhoek9, t, d_6, m_4, s_4
18. Polygon(S_4, R_4, B_5, A_5) → vierhoek10, d, r_4, b_5, e
19. Polygon(Q_5, P_5, O_5, N_5) → vierhoek11, f_1, p_5, o_5, n_5
20. Polygon(N_5, M_5, S_5, R_5) → vierhoek12, g_1, m_5, s_5, h_1
21. Polygon(M_5, K_5, J_5, L_5) → vierhoek13, i_1, k_5, j_5, l_5
22. Polygon(J_5, I_1, J_1) → driehoek5, j_1, q_1, r_1
23. Polygon(O_5, Q_4, C_5, D_5) → vierhoek14, s_1, q_4, c_5, d_5
24. Polygon(Q_4, R_4, O_4, P_4) → vierhoek15, t_1, a_1, o_4, p_4
25. Polygon(M_4, N_4, L_4, K_4) → vierhoek16, b_1, n_4, l_4, k_4
26. Polygon(Q_1, R_1, L_4) → driehoek6, c_1, d_1, e_1
27. Polygon(R_1, H_1, G_4) → driehoek7, g_4, f_2, g_2
28. Polygon(K_4, I_4, J_4, O_4) → vierhoek17, h_2, i_4, j_4, i_2
29. Polygon(K_5, D_5, E_5, F_5) → vierhoek18, j_2, k_2, e_5, f_5
30. Polygon(F_5, G_5, U_3, H_5) → vierhoek19, l_2, g_5, u_3, h_5
31. Polygon(I_1, H_5, E_1) → driehoek8, m_2, n_2, p_2
32. Polygon(D_1, I_5, C_1) → driehoek9, q_2, r_2, i_5
33. Polygon(U_3, V_3, W_3, I_5) → vierhoek20, s_2, v_3, w_3, t_2
34. Polygon(I_4, G_4, F_4, H_4) → vierhoek21, a_2, b_2, f_4, h_4
35. Polygon(F_4, E_4, C_4, D_4) → vierhoek22, c_2, e_4, c_4, d_4
36. Polygon(G_1, F_1, E_4) → driehoek10, d_2, e_2, f_3
37. Polygon(C_4, K_3, N_3, B_4) → vierhoek23, g_3, k_3, n_3, b_4
38. Polygon(W_3, Z_3, O_3, R_3) → vierhoek24, h_3, z_3, o_3, r_3
39. Polygon(O_3, A_4, N_3, M_3) → vierhoek25, i_3, a_4, j_3, m_3
40. Polygon(F_1, R, J_3, I_3, K_3, L_3) → veelhoek1, l_3, r_6, p_3, q_3, s_3, t_3
41. Polygon(C_1, S_3, R_3, P_3, Q_3, B_1) → veelhoek2, a_3, b_3, c_3, d_3, e_3, m_6
42. Polygon(P_3, A_3, B_3, C_3) → vierhoek26, n_6, p_6, q_6, s_6
43. Polygon(M_3, W_2, Z_2, A_3) → vierhoek27, t_6, w_2, z_2, f_7
44. Polygon(W_2, I_3, U_2, V_2) → vierhoek28, g_7, h_7, u_2, v_2
45. Polygon(R, Q, H_3) → driehoek11, i_7, r_7, q_7
46. Polygon(U_2, H_3, S_2, T_2) → vierhoek29, j_7, k_7, l_7, m_7
47. Polygon(S_2, Q_2, P_2, R_2) → vierhoek30, n_7, p_7, s_7, t_7
48. Polygon(B_1, T_3, A_1) → driehoek12, a_7, b_7, c_7
49. Polygon(T_3, C_3, D_3, E_3) → vierhoek31, d_7, e_7, f_8, g_8
50. Polygon(E_3, F_3, N_2, M_2) → vierhoek32, h_8, i_8, j_8, k_8
51. Polygon(Z, M_2, W) → driehoek13, w, z_1, l_8
52. Polygon(N_2, G_3, O_2, J_2) → vierhoek33, m_8, n_8, o_2, p_8
53. Polygon(Q_2, P, O) → driehoek14, o, q_8, p_9
54. Polygon(M_6, P_2, K_2, O_2) → vierhoek34, r_8, s_8, t_8, a_8
55. Polygon(O, N, H_2, G_2, K_2, L_2) → veelhoek3, o_6, n_9, b_8, c_8, d_8, e_8
56. Polygon(W, N_6, J_2, F_2, I_2, V) → veelhoek4, w_1, f_9, g_9, h_9, i_9, v
57. Polygon(F_2, G_2, D_2, C_2, Z_1, W_1, V_1, A_2, B_2, E_2) → veelhoek5, j_9, b_9, k_9, l_9, m_9, q_9, r_9, s_9, t_9, a_9
58. Polygon(V, B_2, U) → driehoek15, u, v_1, c_9
59. Polygon(N, C_2, M) → driehoek16, m_{10}, n_{10}, d_9
60. Polygon(L, K, W_1) → driehoek17, e_9, l_{10}, k_{10}
61. Polygon(T, V_1, S) → driehoek18, s_{10}, t_{10}, f_{10}
62. Polygon(G, S, I, K) → vierhoek35, g_{10}, s_{11}, i_{10}, k_{11}
63. Polygon(H, O_1, P, O, N, M, L, K, G, S, T, U, P_1, V, W, Z, A_1, B_1, C_1, D_1, E_1, I_1, J_1, Q_1, K_1, L_1, M_1, J, N_1, S_1, T_1, U_1, R_1, H_1, G_1, F_1, R, Q) → veelhoek6, h_{10}, q_{11}, p_{11}, o_7, n_{11}, m_{11}, l_{11}, k_{12}, g_{11}, s_{12}, t_{11}, j_{10}, u_6, v_6, w_6, z_6, d_{10}, e_{10}, f_{11}, h_{11}, i_{11}, j_{11}, p_{10}, a_{11}, b_{11}, c_{11}, d_{11}, j_{12}, e_{11}, f_{12}, g_{12}, h_{12}, q_{10}, r_{10}, a_{10}, b_{10}, c_{10}, r_{11}
64. Polygon(O_6, P_6, A_7, Q_6, R_6, S_6, T_6, U_6, V_6, W_6, Z_6) → veelhoek7, i_{12}, b_{12}, c_{12}, l_{12}, m_{12}, n_{12}, p_{12}, q_{12}, r_{12}, t_{12}, a_{12}
65. Intersect(c, j_{12}, 1) → B_7
66. Intersect(c, e_{11}, 1) → C_7
67. Intersect(c, f_{12}, 2) → D_7
68. Intersect(c, j_{12}, 1) → K_7
69. Intersect(c, j_{12}, 1) → L_7
70. PolyLine(E_7, F_7, G_7, H_7, I_7, J_7, M_7) → d_{12}
71. Segment(N_7, J_7) → e_{12}
72. Segment(F_7, O_7) → f_{13}
73. Segment(G_7, Q_6) → g_{13}
74. Segment(R_6, P_7) → h_{13}
75. Segment(A_7, Q_7) → i_{13}
76. Segment(T_6, R_7) → j_{13}
77. Segment(W_6, S_7) → k_{13}
78. Polygon(U_6, T_7, U_7, V_7, W_7, Z_7, A_8, B_8, V_6) → veelhoek8, l_{13}, m_{13}, u_7, v_7, w_7, z_7, n_{13}, p_{13}, q_{13}
79. Segment(B_8, C_8) → r_{13}
80. Segment(T_7, D_8) → s_{13}
81. Polygon(W_7, E_8, F_8, G_8, H_8, I_8) → veelhoek9, t_{13}, a_{13}, b_{13}, c_{13}, d_{13}, e_{13}
82. Segment(V_7, J_8) → f_{14}
83. Segment(I_8, K_8) → g_{14}
84. Segment(E_8, L_8) → h_{14}
85. Segment(G_8, M_8) → i_{14}
86. Segment(G_8, N_8) → j_{14}
87. Segment(Z_7, O_8) → k_{14}
88. Segment(O_6, I_7) → l_{14}
89. CircleSector(R_8, S_8, T_8) → c_{14}