伊斯兰几何图案:达比尔-伊玛姆圆顶

伊斯兰几何图案:达比尔-伊玛姆圆顶
几何画板及绘图内容加载中,请稍等……
2019-12-31 22:24
这个范例展示了伊斯兰几何图案的构造方法。核心数学概念包括几何对称性和多边形。通过使用GeoGebra命令如Polygon、Intersect和PolyLine,可以构造出复杂的几何图案。适合初中及以上学生学习几何作图和对称性。

GeoGebra 命令及参数

  1. Polygon(T_1, V_1, Z_1, F_2, G_2, U_1) → veelhoek1, t_1, v_1, z_1, f_2, g_2, u_1
  2. Polygon(Q, T, A_1, B_1, C_1, S) → veelhoek2, q, t, a_1, b_1, c_1, s
  3. Polygon(I, K, L, M, N, J) → veelhoek3, i, k, l, m, n, j
  4. Polygon(Q, R, S_1, F, R_1, P) → veelhoek4, q_1, r, s_1, f, r_1, p
  5. Polygon(F, S_1, K_1, L_1, M_1, N_1) → veelhoek5, f_1, g, k_1, l_1, m_1, n_1
  6. Polygon(I, C, D, E, G, H) → veelhoek6, i_1, c, d, e, g_1, h
  7. Polygon(I, J, O, Q, P, H) → veelhoek7, i_2, j_1, o, q_2, p_1, h_1
  8. Polygon(B_1, C_1, F_1, H_1, E_1, D_1) → veelhoek8, a, b, d_1, e_1, h_2, j_2
  9. Polygon(V, Q_1, O, Q, T, U) → veelhoek9, v, k_2, o_1, q_3, t_2, u
  10. Polygon(W, Z, A_1, B_1, P_1, O_1) → veelhoek10, w, z_2, l_2, m_2, n_2, p_2
  11. Polygon(Q, R, J_1, I_1, G_1, S) → veelhoek11, q_4, r_2, s_2, a_2, b_2, s_3
  12. Polygon(M, V, Q_1, O, J, N) → veelhoek12, m_3, v_2, c_2, o_2, j_3, n_3
  13. Polygon(H, P, R_1, F, E, G) → veelhoek13, h_3, p_3, d_2, f_3, e_2, g_3
  14. Polygon(V, W, Z, A_1, T, U) → veelhoek14, v_3, w_1, z_3, i_3, t_3, u_2
  15. Polygon(S, C_1, F_1, H_1, I_1, G_1) → veelhoek15, s_4, k_3, l_3, r_3, a_3, b_3
  16. Polygon(S_1, R, J_1, I_1, L_1, K_1) → veelhoek16, c_3, r_4, d_3, e_3, f_4, g_4
  17. Polygon(B_2, C_2, D_2, E_2, W_1, A_2) → veelhoek17, h_4, i_4, j_4, k_4, l_4, m_4
  18. Polygon(L_2, T_1, U_1, K, I, C, H_2, I_2, J_2, K_2) → veelhoek18, n_4, e_4, p_4, t_4, k_5, i_5, c_4, a_4, b_4, d_4
  19. Polygon(V, M, F_2, E_2, M_2, N_2, O_2, P_2, Q_2, W) → veelhoek19, v_4, w_2, m_5, f_5, g_5, h_5, j_5, l_5, n_5, p_5
  20. Polygon(U_1, G_2, F_2, M, L, K) → veelhoek20, q_5, r_5, s_5, m_6, l_6, k_6
  21. Polygon(R_2, E, F, N_1, Z_2, W_2, V_2, U_2, T_2, S_2) → veelhoek21, t_5, i_6, e_5, f_6, a_5, b_5, c_5, d_5, g_6, h_6
  22. Polygon(H_2, C, D, E, R_2, A_3) → veelhoek22, j_6, c_6, d_6, e_6, n_6, p_6
  23. Polygon(B, E_5, C_5, K_3, L_3, Q_3, F_5) → veelhoek24, b_7, f_7, g_7, h_7, i_7, j_7, k_7
  24. Polygon(H_1, M_3, L_3, K_3, J_3, I_3, F_3, G_3, L_1, I_1) → veelhoek25, l_7, c_7, m_7, n_7, p_7, q_7, r_7, s_7, t_7, a_7
  25. Polygon(Z_2, H_3, G_3, F_3, E_3, B_3) → veelhoek26, d_7, e_7, f_8, g_8, h_8, i_8
  26. Polygon(Z_2, N_1, M_1, L_1, G_3, H_3) → veelhoek27, j_8, k_8, l_8, m_8, n_8, p_8
  27. Polygon(W_2, C_3, D_3, J_4, I_4, H_4) → veelhoek28, q_8, r_8, s_8, t_8, a_8, b_8
  28. Polygon(V_2, W_2, H_4, I_4, F_4, G_4) → veelhoek29, c_8, d_8, e_8, f_9, g_9, h_9
  29. Polygon(V_2, G_4, F_4, E_4, D_4, C_4) → veelhoek30, i_9, j_9, k_9, l_9, m_9, n_9
  30. Polygon(W_2, Z_2, B_3, E_3, D_3, C_3) → veelhoek31, p_9, q_9, r_9, s_9, t_9, a_9
  31. Polygon(J_4, D_3, E_3, F_3, I_3, I_5) → veelhoek32, b_9, c_9, d_9, e_9, f_{10}, g_{10}
  32. Polygon(K_5, O_3, D_1, B_1, P_1, R_3, J_5) → veelhoek33, h_{10}, o_3, i_{10}, j_{10}, k_{10}, l_{10}, m_{10}
  33. Polygon(P_2, T_3, U_3, R_3, S_3, Q_2) → veelhoek34, n_{10}, p_{10}, u_3, q_{10}, r_{10}, s_{10}
  34. Polygon(W, Q_2, S_3, R_3, P_1, O_1) → veelhoek35, w_3, t_{10}, a_{10}, b_{10}, c_{10}, d_{10}
  35. Polygon(S_4, R_4, U_4, V_4, B_2, A_2, V_1, T_1, L_2, T_4) → veelhoek36, e_{10}, m_{11}, f_{11}, u_4, g_{11}, h_{11}, i_{11}, j_{11}, k_{11}, l_{11}
  36. Polygon(V_1, A_2, W_1, E_2, F_2, Z_1) → veelhoek37, n_{11}, p_{11}, q_{11}, r_{11}, s_{11}, t_{11}
  37. Polygon(L_5, V_4, B_2, C_2, V_3, B_4) → veelhoek38, a_{11}, b_{11}, c_{11}, d_{11}, e_{11}, f_{12}
  38. Polygon(B_4, A_4, Z_3, M_2, W_3, V_3) → veelhoek39, g_{12}, h_{12}, i_{12}, j_{12}, k_{12}, l_{12}
  39. Polygon(V_3, W_3, M_2, E_2, D_2, C_2) → veelhoek40, m_{12}, n_{12}, p_{12}, q_{12}, r_{12}, s_{12}
  40. Polygon(A_4, M_5, W_4, N_2, M_2, Z_3) → veelhoek41, t_{12}, a_{12}, w_4, b_{12}, c_{12}, d_{12}
  41. Polygon(M_5, N_5, Z_4, N_2, W_4) → veelhoek42, e_{12}, f_{13}, z_4, g_{13}, h_{13}
  42. Polygon(T_3, P_2, O_2, A_5, B_5, H_5, G_5) → veelhoek23, q_6, r_6, s_6, t_6, a_6, b_6, i_{13}
  43. Polygon(N_5, B_5, A_5, O_2, N_2, Z_4) → veelhoek43, j_{13}, k_{13}, l_{13}, m_{13}, n_{13}, p_{13}
  44. Polygon(T_3, G_5, J_5, R_3, U_3) → veelhoek44, q_{13}, r_{13}, s_{13}, t_{13}, a_{13}
  45. Polygon(O_3, P_3, Q_3, L_3, M_3, N_3) → veelhoek45, b_{13}, c_{13}, d_{13}, e_{13}, f_{14}, g_{14}
  46. Polygon(D_1, O_3, N_3, M_3, H_1, E_1) → veelhoek46, h_{14}, i_{14}, j_{14}, k_{14}, l_{14}, m_{14}
  47. Polygon(K_5, F_5, Q_3, P_3, O_3) → veelhoek47, n_{14}, p_{14}, q_{14}, r_{14}, s_{14}
  48. Polygon(J_3, K_3, C_5, E_5, O_5, D_5) → veelhoek48, t_{14}, a_{14}, b_{14}, c_{14}, o_5, d_{14}
  49. Polygon(E_4, F_4, I_4, J_4) → vierhoek1, e_{14}, f_{15}, g_{15}, h_{15}
  50. Polygon(I_3, J_3, D_5, O_5, I_5) → veelhoek49, i_{15}, j_{15}, k_{15}, l_{15}, m_{15}
  51. Polygon(V_5, S_5, R_5, J_2, I_2, K_4, U_5, T_5, W_5) → veelhoek50, v_5, n_{15}, p_{15}, q_{15}, r_{15}, s_{15}, u_5, t_{15}, w_5
  52. Polygon(P_6, J_6, Q_4, S_4, O_4, P_5) → veelhoek51, a_{15}, b_{15}, c_{15}, d_{15}, o_4, e_{15}
  53. Polygon(N_6, D_7, M_6, R_4, S_4, Q_4, L_6) → veelhoek53, l_{16}, m_{16}, n_{16}, p_{16}, q_{16}, r_{16}, d_{20}
  54. Polygon(P_5, O_4, N_4, K_2, P_4, Q_5) → veelhoek52, f_{16}, g_{16}, h_{16}, i_{16}, j_{16}, k_{16}
  55. Polygon(O_4, S_4, T_4, L_2, K_2, N_4) → veelhoek54, s_{16}, t_{16}, a_{16}, b_{16}, c_{16}, d_{16}
  56. Polygon(Q_5, P_4, K_2, J_2, R_5, S_5) → veelhoek55, e_{16}, f_{17}, g_{17}, h_{17}, i_{17}, j_{17}
  57. Polygon(I_2, H_2, A_3, R_2, L_4, K_4) → veelhoek56, k_{17}, l_{17}, m_{17}, n_{17}, p_{17}, q_{17}
  58. Polygon(U_5, K_4, L_4, R_2, S_2, M_4) → veelhoek57, r_{17}, s_{17}, t_{17}, a_{17}, b_{17}, c_{17}
  59. Polygon(T_5, U_5, M_4, S_2, A_6, Z_5) → veelhoek58, d_{17}, e_{17}, f_{18}, g_{18}, h_{18}, z_5
  60. Polygon(P_6, P_5, Q_5, S_5, V_5) → veelhoek59, i_{18}, j_{18}, k_{18}, l_{18}, m_{18}
  61. Polygon(U_2, D_6, E_6, F_6, Q_6, I_6, H_6) → veelhoek60, n_{18}, p_{18}, q_{18}, r_{18}, s_{18}, t_{18}, a_{18}
  62. Polygon(B_6, T_2, G_6, R_6, C_6) → veelhoek61, b_{18}, c_{18}, d_{18}, e_{18}, f_{19}
  63. Polygon(U_2, V_2, C_4, D_4, E_6, D_6) → veelhoek62, g_{19}, h_{19}, i_{19}, j_{19}, k_{19}, l_{19}
  64. Polygon(T_2, U_2, H_6, I_6, R_6, G_6) → veelhoek63, m_{19}, n_{19}, p_{19}, q_{19}, r_{19}, s_{19}
  65. Polygon(Z_5, A_6, S_2, T_2, B_6, C_6, S_6) → veelhoek64, t_{19}, a_{19}, b_{19}, c_{19}, d_{19}, e_{19}, f_{20}
  66. Polygon(T_6, F_6, E_6, D_4, E_4) → veelhoek65, g_{20}, h_{20}, i_{20}, j_{20}, k_{20}
  67. Polygon(U_6, K_6, L_6, Q_4, J_6, P_6) → veelhoek66, u_6, l_{20}, m_{20}, n_{20}, p_{20}, q_{20}
  68. Polygon(M_6, O_6, L_5, V_4, U_4, R_4) → veelhoek67, r_{20}, o_6, s_{20}, t_{20}, a_{20}, b_{20}
  69. Intersect(t_6, a_6) → W_6
  70. Intersect(e_{12}, f_{13}) → Z_6
  71. Polygon(A_7, V_6, W_6, Z_6) → vierhoek2, c_{20}, v_6, w_6, z_6
  72. Intersect(a_{11}, f_{12}) → C_7
  73. Intersect(r_{20}, o_6) → E_7
  74. Polygon(F_7, G_7, N_6, L_6, K_6, U_6) → veelhoek68, e_{20}, f_{21}, g_{21}, h_{21}, i_{21}, j_{21}
  75. Polygon(D_7, B_7, C_7, O_6, M_6) → veelhoek69, k_{21}, l_{21}, m_{21}, n_{21}, p_{21}
  76. Polygon(H_7, I_7, J_7, K_7) → vierhoek3, q_{21}, r_{21}, s_{21}, t_{21}
  77. PolyLine(L_7, M_7, N_7, O_7, P_7) → a_{21}
  78. PolyLine(O_7, Q_7, R_7, S_7, N_7) → b_{21}
  79. PolyLine(T_7, U_7, N_7) → c_{21}
  80. Segment(S_7, V_7) → d_{21}
  81. Segment(S_7, W_7) → e_{21}
  82. PolyLine(Z_7, R_7, A_8, B_8) → f_{22}
  83. Segment(O_7, C_8) → g_{22}
  84. Segment(Q_7, A_8) → h_{22}

AI 绘图提示语参考

绘制一个伊斯兰几何图案,包含多个多边形,这些多边形通过顶点相互连接,形成复杂的对称图案。首先绘制基础的多边形,然后通过顶点连接形成新的多边形,最终构成一个具有几何对称性的复杂图案。
以上提示语为根据原始绘图命令整理而来,仅供参考。