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马拉加陵墓的 girih 形状

马拉加陵墓的 girih 形状
几何画板及绘图内容加载中，请稍等……
2019-03-06 17:30
多边形几何作图
①这个范例演示了马加马加陵墓上的 girih 形状图案；②涉及的核心数学概念包括多边形、对称性、几何作图；③作图要点——从下方『构造摘要』提炼用到了 Polygon（多边形）、Point（点）等 GeoGebra 命令/对象；④适合高中及以上学生学习和探索几何图案的构造与性质。

GeoGebra 命令及参数

  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