伊斯兰几何图案:Gonbad-e Sork

伊斯兰几何图案:Gonbad-e Sork
几何画板及绘图内容加载中,请稍等……
2019-12-31 21:44
①本范例演示伊斯兰几何图案Gonbad-e Sork的构造过程;②涉及的核心数学概念包括对称性、散点图、缩放、分割、二维向量、平移;③作图要点:运用了Point, Rotate, Polygon, Dilate, Intersect, Midpoint, Line, Mirror, Centroid, PolyLine, Circle, Segment, LineBisector, OrthogonalLine等GeoGebra命令;④适合高中及以上数学学习者,用于理解几何变换与图案设计。

GeoGebra 命令及参数

  1. ConstructionStep() → stap
  2. Point(yAxis) → N
  3. Rotate(N, 60°) → N'
  4. Polygon(N, N', 6) → veelhoek2, s, S, t, a, b, c, d, P, Q, R
  5. Dilate(veelhoek2, 0.92) → veelhoek2'_{2}
  6. Point(yAxis) → T
  7. Rotate(T, 60°) → T'
  8. Polygon(T, T', 6) → veelhoek3, e, Z, f_1, g_1, h_1, i_1, j_1, U, V, W
  9. Intersect(xAxis, i_1) → A_1
  10. Intersect(c, xAxis) → B_1
  11. Midpoint(A_1, B_1) → C_1
  12. Line(C_1, yAxis) → k_1
  13. Mirror(veelhoek2, k_1) → veelhoek2'
  14. Mirror(veelhoek3, k_1) → veelhoek3'
  15. Point(xAxis) → C
  16. Mirror(veelhoek2', yAxis) → veelhoek2''
  17. Mirror(veelhoek3', yAxis) → veelhoek3''
  18. Rotate(C_1, 60°) → D_1
  19. Line(D_1, j_1) → l_1
  20. Mirror(veelhoek2, l_1) → veelhoek2'_{1}
  21. Mirror(veelhoek3, l_1) → veelhoek3'_{1}
  22. Mirror(veelhoek2'_{1}, yAxis) → veelhoek4
  23. Mirror(veelhoek3'_{1}, yAxis) → veelhoek5
  24. Mirror(veelhoek3'_{1}, xAxis) → veelhoek6
  25. Rotate(C, 30°) → C'
  26. Mirror(veelhoek2'_{1}, xAxis) → veelhoek7
  27. Mirror(veelhoek5, xAxis) → veelhoek5'
  28. Mirror(veelhoek4, xAxis) → veelhoek4'
  29. Centroid(veelhoek2'_{1}) → E_1
  30. Mirror(E_1, yAxis) → F_1
  31. Mirror(E_1, xAxis) → G_1
  32. Mirror(F_1, xAxis) → H_1
  33. Centroid(veelhoek2') → I_1
  34. Mirror(I_1, yAxis) → J_1
  35. Line(F_1, H_1) → m_1
  36. Polygon(C, C', 12) → veelhoek1, f, p, q, r, D, E, F, G, H, I, J, g, K, L, M, h, i, j, k, l, m, n
  37. Mirror(veelhoek3'_{1}, m_1) → veelhoek8
  38. Mirror(veelhoek2'_{1}, m_1) → veelhoek9
  39. Mirror(veelhoek5, k_1) → veelhoek5'_{1}
  40. Mirror(veelhoek4, k_1) → veelhoek4'_{1}
  41. Mirror(veelhoek9, xAxis) → veelhoek9'
  42. Mirror(veelhoek8, xAxis) → veelhoek8'
  43. Mirror(veelhoek4', k_1) → veelhoek4''
  44. Mirror(veelhoek5', k_1) → veelhoek5''
  45. Line(F_1, E_1) → n_1
  46. Mirror(veelhoek3'', n_1) → veelhoek3'''
  47. Mirror(veelhoek2'', n_1) → veelhoek2'''
  48. Mirror(veelhoek2', n_1) → veelhoek2''_{1}
  49. Mirror(veelhoek3''', yAxis) → veelhoek23
  50. Mirror(veelhoek1, k_1) → veelhoek1'
  51. Mirror(veelhoek1', yAxis) → veelhoek1''
  52. Mirror(veelhoek1'', n_1) → veelhoek1'''
  53. Mirror(veelhoek1, n_1) → veelhoek1'_{1}
  54. Mirror(veelhoek1', n_1) → veelhoek1''_{1}
  55. Mirror(veelhoek1''', xAxis) → veelhoek10
  56. Mirror(veelhoek1'_{1}, xAxis) → veelhoek11
  57. Mirror(veelhoek1''_{1}, xAxis) → veelhoek12
  58. Rotate(veelhoek1', 60°) → veelhoek1''_{2}
  59. Mirror(veelhoek1''_{2}, yAxis) → veelhoek13
  60. Mirror(veelhoek1''_{2}, m_1) → veelhoek14
  61. Mirror(veelhoek13, k_1) → veelhoek13'
  62. Mirror(veelhoek14, xAxis) → veelhoek14'
  63. Mirror(veelhoek13, xAxis) → veelhoek13'_{1}
  64. Mirror(veelhoek1''_{2}, xAxis) → veelhoek15
  65. Mirror(veelhoek13', xAxis) → veelhoek13''
  66. PolyLine(K_1, L_1, M_1, N_1, O_1) → p_1
  67. Mirror(K_1, yAxis) → P_1
  68. Mirror(L_1, yAxis) → Q_1
  69. Mirror(M_1, yAxis) → R_1
  70. Mirror(N_1, yAxis) → S_1
  71. Mirror(O_1, yAxis) → T_1
  72. PolyLine(P_1, Q_1, R_1, S_1, T_1) → q_1
  73. Intersect(xAxis, veelhoek1'') → Z_1, A_2
  74. Intersect(veelhoek1'', veelhoek13) → W_1, C_2
  75. Intersect(veelhoek13, veelhoek1''_{2}) → U_1, B_2
  76. Intersect(veelhoek1'', veelhoek13'_{1}) → D_2, E_2
  77. Intersect(veelhoek15, veelhoek13'_{1}) → F_2, G_2
  78. Intersect(veelhoek15, veelhoek1') → H_2, I_2
  79. Intersect(veelhoek1', veelhoek1''_{2}) → J_2, K_2
  80. Circle(O, U_1) → c_1
  81. Intersect(c_1, xAxis, 1) → L_2
  82. Segment(U_1, L_2) → r_1
  83. Intersect(r_1, veelhoek1'') → M_2
  84. Mirror(M_2, xAxis) → O_2
  85. Mirror(M_2, yAxis) → P_2
  86. Mirror(O_2, yAxis) → Q_2
  87. Rotate(U_1, 150°) → R_2
  88. Rotate(U_1, 210°) → S_2
  89. Rotate(U_1, 270°) → T_2
  90. Rotate(U_1, 330°) → U_2
  91. Mirror(A_2, yAxis) → V_2
  92. Mirror(V_1, yAxis) → W_2
  93. Rotate(V_2, 90°) → Z_2
  94. Rotate(V_2, -90°) → A_3
  95. Rotate(O_2, 90°) → B_3
  96. Rotate(M_2, 90°) → C_3
  97. Mirror(U_2, yAxis) → D_3
  98. Rotate(Z_2, 60°) → E_3
  99. Mirror(E_3, xAxis) → F_3
  100. Mirror(F_3, yAxis) → G_3
  101. Mirror(E_3, yAxis) → H_3
  102. Polygon(Z_2, D_3, H_3, U_2, E_3, L_2, F_3, R_2, A_3, S_2, G_3, T_2) → veelhoek16, z_2, t_2, h_3, u_2, d_3, e_3, l_2, f_3, r_2, a_3, s_2, g_3
  103. Mirror(Z_2, m_1) → I_3
  104. Mirror(D_3, m_1) → J_3
  105. Mirror(E_3, m_1) → K_3
  106. Mirror(L_2, m_1) → L_3
  107. Mirror(F_3, m_1) → M_3
  108. Mirror(R_2, m_1) → N_3
  109. Mirror(A_3, m_1) → O_3
  110. Mirror(S_2, m_1) → P_3
  111. Mirror(G_3, m_1) → Q_3
  112. Mirror(T_2, m_1) → R_3
  113. Mirror(H_3, m_1) → S_3
  114. Mirror(U_2, m_1) → T_3
  115. Polygon(I_3, J_3, S_3, T_3, K_3, L_3, M_3, N_3, O_3, P_3, Q_3, R_3) → veelhoek16', i_3, r_3, s_3, t_3, j_3, k_3, l_3, m_3, n_3, o_3, p_3, q_3
  116. LineBisector(F_1, O) → s_1
  117. Mirror(Z_2, s_1) → U_3
  118. Mirror(D_3, s_1) → V_3
  119. Mirror(E_3, s_1) → W_3
  120. Mirror(L_2, s_1) → Z_3
  121. Mirror(F_3, s_1) → A_4
  122. Mirror(R_2, s_1) → B_4
  123. Mirror(A_3, s_1) → C_4
  124. Mirror(S_2, s_1) → D_4
  125. Mirror(G_3, s_1) → E_4
  126. Mirror(T_2, s_1) → F_4
  127. Mirror(H_3, s_1) → G_4
  128. Mirror(U_2, s_1) → H_4
  129. Polygon(U_3, V_3, G_4, H_4, W_3, Z_3, A_4, B_4, C_4, D_4, E_4, F_4) → veelhoek16'_{1}, u_3, f_4, g_4, h_4, v_3, w_3, z_3, a_4, b_4, c_4, d_4, e_4
  130. LineBisector(E_1, O) → t_1
  131. Mirror(Z_2, t_1) → I_4
  132. Mirror(D_3, t_1) → J_4
  133. Mirror(E_3, t_1) → K_4
  134. Mirror(L_2, t_1) → L_4
  135. Mirror(F_3, t_1) → M_4
  136. Mirror(R_2, t_1) → N_4
  137. Mirror(A_3, t_1) → O_4
  138. Mirror(S_2, t_1) → P_4
  139. Mirror(G_3, t_1) → Q_4
  140. Mirror(T_2, t_1) → R_4
  141. Mirror(H_3, t_1) → S_4
  142. Mirror(U_2, t_1) → T_4
  143. Polygon(I_4, J_4, S_4, T_4, K_4, L_4, M_4, N_4, O_4, P_4, Q_4, R_4) → veelhoek16'_{2}, i_4, r_4, s_4, t_4, j_4, k_4, l_4, m_4, n_4, o_4, p_4, q_4
  144. Mirror(Z_2, k_1) → U_4
  145. Mirror(D_3, k_1) → V_4
  146. Mirror(E_3, k_1) → W_4
  147. Mirror(L_2, k_1) → Z_4
  148. Mirror(F_3, k_1) → A_5
  149. Mirror(R_2, k_1) → B_5
  150. Mirror(A_3, k_1) → C_5
  151. Mirror(S_2, k_1) → D_5
  152. Mirror(G_3, k_1) → E_5
  153. Mirror(T_2, k_1) → F_5
  154. Mirror(H_3, k_1) → G_5
  155. Mirror(U_2, k_1) → H_5
  156. Polygon(U_4, V_4, G_5, H_5, W_4, Z_4, A_5, B_5, C_5, D_5, E_5, F_5) → veelhoek16'_{3}, u_4, f_5, g_5, h_5, v_4, w_4, z_4, a_5, b_5, c_5, d_5, e_5
  157. LineBisector(O, H_1) → a_1
  158. Mirror(Z_2, a_1) → I_5
  159. Mirror(D_3, a_1) → J_5
  160. Mirror(E_3, a_1) → K_5
  161. Mirror(L_2, a_1) → L_5
  162. Mirror(F_3, a_1) → M_5
  163. Mirror(R_2, a_1) → N_5
  164. Mirror(A_3, a_1) → O_5
  165. Mirror(S_2, a_1) → P_5
  166. Mirror(G_3, a_1) → Q_5
  167. Mirror(T_2, a_1) → R_5
  168. Mirror(H_3, a_1) → S_5
  169. Mirror(U_2, a_1) → T_5
  170. Polygon(I_5, J_5, S_5, T_5, K_5, L_5, M_5, N_5, O_5, P_5, Q_5, R_5) → veelhoek16'_{4}, i_5, r_5, s_5, t_5, j_5, k_5, l_5, m_5, n_5, o_5, p_5, q_5
  171. LineBisector(G_1, O) → b_1
  172. Mirror(Z_2, b_1) → U_5
  173. Mirror(D_3, b_1) → V_5
  174. Mirror(E_3, b_1) → W_5
  175. Mirror(L_2, b_1) → Z_5
  176. Mirror(F_3, b_1) → A_6
  177. Mirror(R_2, b_1) → B_6
  178. Mirror(A_3, b_1) → C_6
  179. Mirror(S_2, b_1) → D_6
  180. Mirror(G_3, b_1) → E_6
  181. Mirror(T_2, b_1) → F_6
  182. Mirror(H_3, b_1) → G_6
  183. Mirror(U_2, b_1) → H_6
  184. Polygon(U_5, V_5, G_6, H_6, W_5, Z_5, A_6, B_6, C_6, D_6, E_6, F_6) → veelhoek16'_{5}, u_5, f_6, g_6, h_6, v_5, w_5, z_5, a_6, b_6, c_6, d_6, e_6
  185. Rotate(S, -90°, D_1) → S'
  186. Rotate(S, 90°, D_1) → S'_{1}
  187. Rotate(N, 90°, D_1) → N'_{2}
  188. Segment(S'_{1}, N'_{2}) → d'_{1}
  189. Line(S_4, T_4) → d_1
  190. Intersect(d_1, d'_{1}) → I_6
  191. Line(H_3, U_2) → e_1
  192. Intersect(e_1, d'_{1}) → J_6
  193. OrthogonalLine(D_1, t_1) → f_2
  194. Mirror(I_6, f_2) → K_6
  195. Mirror(J_6, f_2) → L_6
  196. Mirror(K_6, k_1) → M_6
  197. Mirror(I_6, k_1) → N_6
  198. Mirror(J_6, k_1) → O_6
  199. Line(H_3, T_2) → g_2
  200. Rotate(R, -90°, C_1) → R'
  201. Rotate(S, -90°, C_1) → S'_{2}
  202. Segment(R', S'_{2}) → c'
  203. Intersect(g_2, c') → P_6
  204. Mirror(P_6, k_1) → Q_6
  205. Polygon(S_4, I_6, J_6, H_3, P_6, Q_6, G_5, O_6, N_6) → veelhoek17, h_2, i_6, j_6, i_2, p_6, q_6, j_2, o_6, n_6
  206. Mirror(S_4, yAxis) → R_6
  207. Mirror(I_6, yAxis) → S_6
  208. Mirror(J_6, yAxis) → T_6
  209. Mirror(H_3, yAxis) → U_6
  210. Mirror(P_6, yAxis) → V_6
  211. Mirror(Q_6, yAxis) → W_6
  212. Mirror(G_5, yAxis) → Z_6
  213. Mirror(O_6, yAxis) → A_7
  214. Mirror(N_6, yAxis) → B_7
  215. Polygon(R_6, S_6, T_6, U_6, V_6, W_6, Z_6, A_7, B_7) → veelhoek17', r_6, s_6, t_6, u_6, v_6, w_6, z_6, a_7, b_7
  216. Line(E_1, I_1) → k_2
  217. Mirror(S_4, k_2) → C_7
  218. Mirror(I_6, k_2) → D_7
  219. Mirror(J_6, k_2) → E_7
  220. Mirror(H_3, k_2) → F_7
  221. Mirror(P_6, k_2) → G_7
  222. Mirror(Q_6, k_2) → H_7
  223. Mirror(G_5, k_2) → I_7
  224. Mirror(O_6, k_2) → J_7
  225. Mirror(N_6, k_2) → K_7
  226. Polygon(C_7, D_7, E_7, F_7, G_7, H_7, I_7, J_7, K_7) → veelhoek17'_{1}, c_7, d_7, e_7, f_7, g_7, h_7, i_7, j_7, k_7
  227. Mirror(C_7, yAxis) → L_7
  228. Mirror(D_7, yAxis) → M_7
  229. Mirror(E_7, yAxis) → N_7
  230. Mirror(F_7, yAxis) → O_7
  231. Mirror(G_7, yAxis) → P_7
  232. Mirror(H_7, yAxis) → Q_7
  233. Mirror(I_7, yAxis) → R_7
  234. Mirror(J_7, yAxis) → S_7
  235. Mirror(K_7, yAxis) → T_7
  236. Polygon(L_7, M_7, N_7, O_7, P_7, Q_7, R_7, S_7, T_7) → veelhoek18, l_7, m_7, n_7, o_7, p_7, q_7, r_7, s_7, t_7
  237. Mirror(C_7, xAxis) → U_7
  238. Mirror(D_7, xAxis) → V_7
  239. Mirror(E_7, xAxis) → W_7
  240. Mirror(F_7, xAxis) → Z_7
  241. Mirror(G_7, xAxis) → A_8
  242. Mirror(H_7, xAxis) → B_8
  243. Mirror(I_7, xAxis) → C_8
  244. Mirror(J_7, xAxis) → D_8
  245. Mirror(K_7, xAxis) → E_8
  246. Polygon(U_7, V_7, W_7, Z_7, A_8, B_8, C_8, D_8, E_8) → veelhoek19, u_7, v_7, w_7, z_7, a_8, b_8, c_8, d_8, e_8
  247. Mirror(U_7, k_1) → F_8
  248. Mirror(V_7, k_1) → G_8
  249. Mirror(W_7, k_1) → H_8
  250. Mirror(Z_7, k_1) → I_8
  251. Mirror(A_8, k_1) → J_8
  252. Mirror(B_8, k_1) → K_8
  253. Mirror(C_8, k_1) → L_8
  254. Mirror(D_8, k_1) → M_8
  255. Mirror(E_8, k_1) → N_8
  256. Polygon(F_8, G_8, H_8, I_8, J_8, K_8, L_8, M_8, N_8) → veelhoek19', f_8, g_8, h_8, i_8, j_8, k_8, l_8, m_8, n_8
  257. Mirror(U_7, yAxis) → O_8
  258. Mirror(V_7, yAxis) → P_8
  259. Mirror(W_7, yAxis) → Q_8
  260. Mirror(Z_7, yAxis) → R_8
  261. Mirror(A_8, yAxis) → S_8
  262. Mirror(B_8, yAxis) → T_8
  263. Mirror(C_8, yAxis) → U_8
  264. Mirror(D_8, yAxis) → V_8
  265. Mirror(E_8, yAxis) → W_8
  266. Polygon(O_8, P_8, Q_8, R_8, S_8, T_8, U_8, V_8, W_8) → veelhoek19'_{1}, o_8, p_8, q_8, r_8, s_8, t_8, u_8, v_8, w_8
  267. Mirror(C_7, t_1) → Z_8
  268. Mirror(D_7, t_1) → A_9
  269. Mirror(E_7, t_1) → B_9
  270. Mirror(F_7, t_1) → C_9
  271. Mirror(G_7, t_1) → D_9
  272. Mirror(H_7, t_1) → E_9
  273. Mirror(I_7, t_1) → F_9
  274. Mirror(J_7, t_1) → G_9
  275. Mirror(K_7, t_1) → H_9
  276. Polygon(Z_8, A_9, B_9, C_9, D_9, E_9, F_9, G_9, H_9) → veelhoek20, z_8, a_9, b_9, c_9, d_9, e_9, f_9, g_9, h_9
  277. Mirror(Z_8, yAxis) → I_9
  278. Mirror(A_9, yAxis) → J_9
  279. Mirror(B_9, yAxis) → K_9
  280. Mirror(C_9, yAxis) → L_9
  281. Mirror(D_9, yAxis) → M_9
  282. Mirror(E_9, yAxis) → N_9
  283. Mirror(F_9, yAxis) → O_9
  284. Mirror(G_9, yAxis) → P_9
  285. Mirror(H_9, yAxis) → Q_9
  286. Polygon(I_9, J_9, K_9, L_9, M_9, N_9, O_9, P_9, Q_9) → veelhoek20', i_9, j_9, k_9, l_9, m_9, n_9, o_9, p_9, q_9
  287. Mirror(U_7, t_1) → R_9
  288. Mirror(V_7, t_1) → S_9
  289. Mirror(W_7, t_1) → T_9
  290. Mirror(Z_7, t_1) → U_9
  291. Mirror(A_8, t_1) → V_9
  292. Mirror(B_8, t_1) → W_9
  293. Mirror(C_8, t_1) → Z_9
  294. Mirror(D_8, t_1) → A_{10}
  295. Mirror(E_8, t_1) → B_{10}
  296. Polygon(R_9, S_9, T_9, U_9, V_9, W_9, Z_9, A_{10}, B_{10}) → veelhoek19'_{2}, r_9, s_9, t_9, u_9, v_9, w_9, z_9, a_{10}, b_{10}
  297. Mirror(L_7, a_1) → C_{10}
  298. Mirror(M_7, a_1) → D_{10}
  299. Mirror(N_7, a_1) → E_{10}
  300. Mirror(O_7, a_1) → F_{10}
  301. Mirror(P_7, a_1) → G_{10}
  302. Mirror(Q_7, a_1) → H_{10}
  303. Mirror(R_7, a_1) → I_{10}
  304. Mirror(S_7, a_1) → J_{10}
  305. Mirror(T_7, a_1) → K_{10}
  306. Polygon(C_{10}, D_{10}, E_{10}, F_{10}, G_{10}, H_{10}, I_{10}, J_{10}, K_{10}) → veelhoek18', c_{10}, d_{10}, e_{10}, f_{10}, g_{10}, h_{10}, i_{10}, j_{10}, k_{10}
  307. Mirror(F_8, xAxis) → L_{10}
  308. Mirror(G_8, xAxis) → M_{10}
  309. Mirror(H_8, xAxis) → N_{10}
  310. Mirror(I_8, xAxis) → O_{10}
  311. Mirror(J_8, xAxis) → P_{10}
  312. Mirror(K_8, xAxis) → Q_{10}
  313. Mirror(L_8, xAxis) → R_{10}
  314. Mirror(M_8, xAxis) → S_{10}
  315. Mirror(N_8, xAxis) → T_{10}
  316. Polygon(L_{10}, M_{10}, N_{10}, O_{10}, P_{10}, Q_{10}, R_{10}, S_{10}, T_{10}) → veelhoek19'', l_{10}, m_{10}, n_{10}, o_{10}, p_{10}, q_{10}, r_{10}, s_{10}, t_{10}
  317. Line(H_1, G_1) → m_2
  318. Mirror(O_8, m_2) → U_{10}
  319. Mirror(P_8, m_2) → V_{10}
  320. Mirror(Q_8, m_2) → W_{10}
  321. Mirror(R_8, m_2) → Z_{10}
  322. Mirror(S_8, m_2) → A_{11}
  323. Mirror(T_8, m_2) → B_{11}
  324. Mirror(U_8, m_2) → C_{11}
  325. Mirror(V_8, m_2) → D_{11}
  326. Mirror(W_8, m_2) → E_{11}
  327. Polygon(U_{10}, V_{10}, W_{10}, Z_{10}, A_{11}, B_{11}, C_{11}, D_{11}, E_{11}) → veelhoek21, u_{10}, v_{10}, w_{10}, z_{10}, a_{11}, b_{11}, c_{11}, d_{11}, e_{11}
  328. Mirror(F_8, m_2) → F_{11}
  329. Mirror(G_8, m_2) → G_{11}
  330. Mirror(H_8, m_2) → H_{11}
  331. Mirror(I_8, m_2) → I_{11}
  332. Mirror(J_8, m_2) → J_{11}
  333. Mirror(K_8, m_2) → K_{11}
  334. Mirror(L_8, m_2) → L_{11}
  335. Mirror(M_8, m_2) → M_{11}
  336. Mirror(N_8, m_2) → N_{11}
  337. Polygon(F_{11}, G_{11}, H_{11}, I_{11}, J_{11}, K_{11}, L_{11}, M_{11}, N_{11}) → veelhoek19''_{1}, f_{11}, g_{11}, h_{11}, i_{11}, j_{11}, k_{11}, l_{11}, m_{11}, n_{11}
  338. Mirror(Z_8, m_2) → P_{11}
  339. Mirror(A_9, m_2) → Q_{11}
  340. Mirror(B_9, m_2) → R_{11}
  341. Mirror(C_9, m_2) → S_{11}
  342. Mirror(D_9, m_2) → T_{11}
  343. Mirror(E_9, m_2) → U_{11}
  344. Mirror(F_9, m_2) → V_{11}
  345. Mirror(G_9, m_2) → W_{11}
  346. Mirror(H_9, m_2) → Z_{11}
  347. Polygon(P_{11}, Q_{11}, R_{11}, S_{11}, T_{11}, U_{11}, V_{11}, W_{11}, Z_{11}) → veelhoek20'_{1}, p_{11}, q_{11}, r_{11}, s_{11}, t_{11}, u_{11}, v_{11}, w_{11}, z_{11}
  348. Mirror(I_9, m_2) → A_{12}
  349. Mirror(J_9, m_2) → B_{12}
  350. Mirror(K_9, m_2) → C_{12}
  351. Mirror(L_9, m_2) → D_{12}
  352. Mirror(M_9, m_2) → E_{12}
  353. Mirror(N_9, m_2) → F_{12}
  354. Mirror(O_9, m_2) → G_{12}
  355. Mirror(P_9, m_2) → H_{12}
  356. Mirror(Q_9, m_2) → I_{12}
  357. Polygon(A_{12}, B_{12}, C_{12}, D_{12}, E_{12}, F_{12}, G_{12}, H_{12}, I_{12}) → veelhoek20'', a_{12}, b_{12}, c_{12}, d_{12}, e_{12}, f_{12}, g_{12}, h_{12}, i_{12}
  358. Mirror(L_7, n_1) → J_{12}
  359. Mirror(M_7, n_1) → K_{12}
  360. Mirror(N_7, n_1) → L_{12}
  361. Mirror(O_7, n_1) → M_{12}
  362. Mirror(P_7, n_1) → N_{12}
  363. Mirror(Q_7, n_1) → O_{12}
  364. Mirror(R_7, n_1) → P_{12}
  365. Mirror(S_7, n_1) → Q_{12}
  366. Mirror(T_7, n_1) → R_{12}
  367. Polygon(J_{12}, K_{12}, L_{12}, M_{12}, N_{12}, O_{12}, P_{12}, Q_{12}, R_{12}) → veelhoek18'_{1}, j_{12}, k_{12}, l_{12}, m_{12}, n_{12}, o_{12}, p_{12}, q_{12}, r_{12}
  368. Mirror(L_{10}, n_1) → S_{12}
  369. Mirror(M_{10}, n_1) → T_{12}
  370. Mirror(N_{10}, n_1) → U_{12}
  371. Mirror(O_{10}, n_1) → V_{12}
  372. Mirror(P_{10}, n_1) → W_{12}
  373. Mirror(Q_{10}, n_1) → Z_{12}
  374. Mirror(R_{10}, n_1) → A_{13}
  375. Mirror(S_{10}, n_1) → B_{13}
  376. Mirror(T_{10}, n_1) → C_{13}
  377. Polygon(S_{12}, T_{12}, U_{12}, V_{12}, W_{12}, Z_{12}, A_{13}, B_{13}, C_{13}) → veelhoek19''', s_{12}, t_{12}, u_{12}, v_{12}, w_{12}, z_{12}, a_{13}, b_{13}, c_{13}
  378. Mirror(C_7, n_1) → D_{13}
  379. Mirror(D_7, n_1) → E_{13}
  380. Mirror(E_7, n_1) → F_{13}
  381. Mirror(F_7, n_1) → G_{13}
  382. Mirror(G_7, n_1) → H_{13}
  383. Mirror(H_7, n_1) → I_{13}
  384. Mirror(I_7, n_1) → J_{13}
  385. Mirror(J_7, n_1) → K_{13}
  386. Mirror(K_7, n_1) → L_{13}
  387. Polygon(D_{13}, E_{13}, F_{13}, G_{13}, H_{13}, I_{13}, J_{13}, K_{13}, L_{13}) → veelhoek22, d_{13}, e_{13}, f_{13}, g_{13}, h_{13}, i_{13}, j_{13}, k_{13}, l_{13}

AI 绘图提示语参考

绘制一个伊斯兰几何图案,包含多个六边形,通过旋转、镜像和缩放等变换生成复杂的装饰性图案。首先创建一个六边形,然后围绕坐标轴进行旋转和镜像,再通过缩放和连接操作,逐步构建出对称的几何结构,最终形成具有高度对称性和装饰性的图案。
以上提示语为根据原始绘图命令整理而来,仅供参考。