菱形六边形镶嵌

菱形六边形镶嵌
几何画板及绘图内容加载中,请稍等……
2014-12-17 08:12
本范例展示了菱形六边形镶嵌的对称性,涉及旋转和平移对称性,以及正多边形的角测量。通过使用GeoGebra中的Point, Intersect, Polygon等命令,学生可以练习绘制和理解镶嵌图形。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. Point(yAxis) → A
  2. Intersect(xAxis, yAxis) → B
  3. Polygon(A, B, 6) → poly1, a, F, b, c, d, e, f, C, D, E
  4. Polygon(F, E, 4) → poly2, g, h, i, j, G, H
  5. Polygon(E, D, 4) → poly3, k, l, m, n, I, J
  6. Polygon(D, C, 4) → poly4, p, q, r, s, K, L
  7. Polygon(C, B, 4) → poly5, t, a_1, b_1, c_1, M, N
  8. Polygon(B, A, 4) → poly6, d_1, e_1, f_1, g_1, O, P
  9. Polygon(A, F, 4) → poly7, h_1, i_1, j_1, k_1, Q, R
  10. Polygon(E, J, 3) → poly8, l_1, m_1, n_1, S
  11. Polygon(F, H, 3) → poly9, p_1, q_1, r_1, T
  12. Polygon(A, R, 3) → poly10, s_1, t_1, a_2, U
  13. Polygon(B, P, 3) → poly11, b_2, c_2, d_2, V
  14. Polygon(C, N, 3) → poly12, e_2, f_2, g_2, W
  15. Polygon(D, L, 3) → poly13, h_2, i_2, j_2, Z
  16. Polygon(H, G, 6) → poly14, k_2, D_1, l_2, m_2, n_2, p_2, q_2, A_1, B_1, C_1
  17. Polygon(R, Q, 6) → poly15, r_2, H_1, s_2, t_2, a_3, b_3, c_3, E_1, F_1, G_1
  18. Polygon(P, O, 6) → poly16, d_3, L_1, e_3, f_3, g_3, h_3, i_3, I_1, J_1, K_1
  19. Polygon(N, M, 6) → poly17, j_3, P_1, k_3, l_3, m_3, n_3, p_3, M_1, N_1, O_1
  20. Polygon(L, K, 6) → poly18, q_3, T_1, r_3, s_3, t_3, a_4, b_4, Q_1, R_1, S_1
  21. Polygon(J, I, 6) → poly19, c_4, Z_1, d_4, e_4, f_4, g_4, h_4, U_1, V_1, W_1
  22. Polygon(G, J, 4) → poly20, i_4, j_4, k_4, l_4, A_2, B_2
  23. Polygon(H, D_1, 4) → poly21, m_4, n_4, p_4, q_4, C_2, D_2
  24. Polygon(O, R, 4) → poly22, r_4, s_4, t_4, a_5, E_2, F_2
  25. Polygon(M, P, 4) → poly23, b_5, c_5, d_5, e_5, G_2, H_2
  26. Polygon(K, N, 4) → poly24, f_5, g_5, h_5, i_5, I_2, J_2
  27. Polygon(I, L, 4) → poly25, j_5, k_5, l_5, m_5, K_2, L_2
  28. Polygon(D_1, C_1, 4) → poly26, n_5, p_5, q_5, r_5, M_2, N_2
  29. Polygon(F_1, E_1, 4) → poly27, s_5, t_5, a_6, b_6, O_2, P_2
  30. Polygon(B_1, A_1, 4) → poly28, c_6, d_6, e_6, f_6, Q_2, R_2
  31. Polygon(Z_1, W_1, 4) → poly29, g_6, h_6, i_6, j_6, S_2, T_2
  32. Polygon(V_1, U_1, 4) → poly30, k_6, l_6, m_6, n_6, U_2, V_2
  33. Polygon(T_1, S_1, 4) → poly31, p_6, q_6, r_6, s_6, W_2, Z_2
  34. Polygon(R_1, Q_1, 4) → poly32, t_6, a_7, b_7, c_7, A_3, B_3
  35. Polygon(P_1, O_1, 4) → poly33, d_7, e_7, f_7, g_7, C_3, D_3
  36. Polygon(N_1, M_1, 4) → poly34, h_7, i_7, j_7, k_7, E_3, F_3
  37. Polygon(L_1, K_1, 4) → poly35, l_7, m_7, n_7, p_7, G_3, H_3
  38. Polygon(J_1, I_1, 4) → poly36, q_7, r_7, s_7, t_7, I_3, J_3
  39. Polygon(H_1, G_1, 4) → poly37, a_8, b_8, c_8, d_8, K_3, L_3
  40. Polygon(I_1, H_1, 3) → poly38, e_8, f_8, g_8, M_3
  41. Polygon(E_1, D_1, 3) → poly39, h_8, i_8, j_8, N_3
  42. Polygon(A_1, Z_1, 3) → poly40, k_8, l_8, m_8, O_3
  43. Polygon(U_1, T_1, 3) → poly41, n_8, p_8, q_8, P_3
  44. Polygon(Q_1, P_1, 3) → poly42, r_8, s_8, t_8, Q_3
  45. Polygon(M_1, L_1, 3) → poly43, a_9, b_9, c_9, R_3

AI 绘图提示语参考

绘制一个六边形镶嵌图,包含正六边形、正方形和正三角形。首先画一个六边形,然后围绕它画正方形和正三角形,确保它们之间有适当的交点和边连接,形成一个六边形镶嵌图案。
以上提示语为根据原始绘图命令整理而来,仅供参考。