凯利多镜中的轴对称图案

凯利多镜中的轴对称图案
几何画板及绘图内容加载中,请稍等……
2012-08-28 01:42
这个范例展示了凯利多镜中轴对称图案的形成过程,通过反射和旋转将基本图形重复排列生成精美的对称花纹。核心数学概念包括轴对称、反射变换、旋转、圆弧与圆的构造。GeoGebra 中使用了 CircumcircleArc、Line、Mirror、Rotate 等命令,构建了多个点 A_i、C_i 和圆 o 等对象。适合高中几何教学,尤其用于讲解对称变换与平面图案设计。

GeoGebra 命令及参数

  1. CircumcircleArc(A_7, C_8, B_5) → c_5
  2. Line(A_7, B_5) → a_5
  3. Mirror(A_7, a_5) → A'_{15}
  4. Mirror(C_8, a_5) → C'_{15}
  5. Mirror(B_5, a_5) → B'_{15}
  6. CircumcircleArc(A'_{15}, C'_{15}, B'_{15}) → c'_{15}
  7. Rotate(A'_{15}, 72*°, B_5) → A''_{10}
  8. Rotate(C'_{15}, 72*°, B_5) → C''_{10}
  9. Rotate(B'_{15}, 72*°, B_5) → B''_{10}
  10. CircumcircleArc(A''_{10}, C''_{10}, B''_{10}) → c''_{10}
  11. Rotate(A_7, 72*°, B_5) → A'_{16}
  12. Rotate(C_8, 72*°, B_5) → C'_{16}
  13. Rotate(B_5, 72*°, B_5) → B'_{16}
  14. CircumcircleArc(A'_{16}, C'_{16}, B'_{16}) → c'_{16}
  15. Rotate(A_7, 288*°, B_5) → A'_{17}
  16. Rotate(C_8, 288*°, B_5) → C'_{17}
  17. Rotate(B_5, 288*°, B_5) → B'_{17}
  18. CircumcircleArc(A'_{17}, C'_{17}, B'_{17}) → c'_{17}
  19. Rotate(A'_{15}, 288*°, B_5) → A''_{11}
  20. Rotate(C'_{15}, 288*°, B_5) → C''_{11}
  21. Rotate(B'_{15}, 288*°, B_5) → B''_{11}
  22. CircumcircleArc(A''_{11}, C''_{11}, B''_{11}) → c''_{11}
  23. Rotate(A'_{17}, 288*°, B_5) → D_5
  24. Rotate(C'_{17}, 288*°, B_5) → E_5
  25. Rotate(B'_{17}, 288*°, B_5) → F_5
  26. CircumcircleArc(D_5, E_5, F_5) → d_5
  27. Rotate(A''_{11}, 288*°, B_5) → G_5
  28. Rotate(C''_{11}, 288*°, B_5) → H_5
  29. Rotate(B''_{11}, 288*°, B_5) → I_5
  30. CircumcircleArc(G_5, H_5, I_5) → e_5
  31. Rotate(D_5, 288*°, B_5) → D'_5
  32. Rotate(E_5, 288*°, B_5) → E'_5
  33. Rotate(F_5, 288*°, B_5) → F'_5
  34. CircumcircleArc(D'_5, E'_5, F'_5) → d'_5
  35. Rotate(G_5, 288*°, B_5) → G'_5
  36. Rotate(H_5, 288*°, B_5) → H'_5
  37. Rotate(I_5, 288*°, B_5) → I'_5
  38. CircumcircleArc(G'_5, H'_5, I'_5) → e'_5
  39. CircumcircleArc(A_8, C_9, B_2) → c_2
  40. Line(A_8, B_2) → a_2
  41. Mirror(A_8, a_2) → A'_6
  42. Mirror(C_9, a_2) → C'_6
  43. Mirror(B_2, a_2) → B'_6
  44. CircumcircleArc(A'_6, C'_6, B'_6) → c'_6
  45. Rotate(A'_6, 72*°, B_2) → A''_4
  46. Rotate(C'_6, 72*°, B_2) → C''_4
  47. Rotate(B'_6, 72*°, B_2) → B''_4
  48. CircumcircleArc(A''_4, C''_4, B''_4) → c''_4
  49. Rotate(A_8, 72*°, B_2) → A'_7
  50. Rotate(C_9, 72*°, B_2) → C'_7
  51. Rotate(B_2, 72*°, B_2) → B'_7
  52. CircumcircleArc(A'_7, C'_7, B'_7) → c'_7
  53. Rotate(A_8, 288*°, B_2) → A'_8
  54. Rotate(C_9, 288*°, B_2) → C'_8
  55. Rotate(B_2, 288*°, B_2) → B'_8
  56. CircumcircleArc(A'_8, C'_8, B'_8) → c'_8
  57. Rotate(A'_6, 288*°, B_2) → A''_5
  58. Rotate(C'_6, 288*°, B_2) → C''_5
  59. Rotate(B'_6, 288*°, B_2) → B''_5
  60. CircumcircleArc(A''_5, C''_5, B''_5) → c''_5
  61. Rotate(A'_8, 288*°, B_2) → D_2
  62. Rotate(C'_8, 288*°, B_2) → E_2
  63. Rotate(B'_8, 288*°, B_2) → F_2
  64. CircumcircleArc(D_2, E_2, F_2) → d_2
  65. Rotate(A''_5, 288*°, B_2) → G_2
  66. Rotate(C''_5, 288*°, B_2) → H_2
  67. Rotate(B''_5, 288*°, B_2) → I_2
  68. CircumcircleArc(G_2, H_2, I_2) → e_2
  69. Rotate(D_2, 288*°, B_2) → D'_2
  70. Rotate(E_2, 288*°, B_2) → E'_2
  71. Rotate(F_2, 288*°, B_2) → F'_2
  72. CircumcircleArc(D'_2, E'_2, F'_2) → d'_2
  73. Rotate(G_2, 288*°, B_2) → G'_2
  74. Rotate(H_2, 288*°, B_2) → H'_2
  75. Rotate(I_2, 288*°, B_2) → I'_2
  76. CircumcircleArc(G'_2, H'_2, I'_2) → e'_2
  77. CircumcircleArc(A_9, C_{10}, B_3) → c_3
  78. Line(A_9, B_3) → a_3
  79. Mirror(A_9, a_3) → A'_9
  80. Mirror(C_{10}, a_3) → C'_9
  81. Mirror(B_3, a_3) → B'_9
  82. CircumcircleArc(A'_9, C'_9, B'_9) → c'_9
  83. Rotate(A'_9, 72*°, B_3) → A''_6
  84. Rotate(C'_9, 72*°, B_3) → C''_6
  85. Rotate(B'_9, 72*°, B_3) → B''_6
  86. CircumcircleArc(A''_6, C''_6, B''_6) → c''_6
  87. Rotate(A_9, 72*°, B_3) → A'_{10}
  88. Rotate(C_{10}, 72*°, B_3) → C'_{10}
  89. Rotate(B_3, 72*°, B_3) → B'_{10}
  90. CircumcircleArc(A'_{10}, C'_{10}, B'_{10}) → c'_{10}
  91. Rotate(A_9, 288*°, B_3) → A'_{11}
  92. Rotate(C_{10}, 288*°, B_3) → C'_{11}
  93. Rotate(B_3, 288*°, B_3) → B'_{11}
  94. CircumcircleArc(A'_{11}, C'_{11}, B'_{11}) → c'_{11}
  95. Rotate(A'_9, 288*°, B_3) → A''_7
  96. Rotate(C'_9, 288*°, B_3) → C''_7
  97. Rotate(B'_9, 288*°, B_3) → B''_7
  98. CircumcircleArc(A''_7, C''_7, B''_7) → c''_7
  99. Rotate(A'_{11}, 288*°, B_3) → D_3
  100. Rotate(C'_{11}, 288*°, B_3) → E_3
  101. Rotate(B'_{11}, 288*°, B_3) → F_3
  102. CircumcircleArc(D_3, E_3, F_3) → d_3
  103. Rotate(A''_7, 288*°, B_3) → G_3
  104. Rotate(C''_7, 288*°, B_3) → H_3
  105. Rotate(B''_7, 288*°, B_3) → I_3
  106. CircumcircleArc(G_3, H_3, I_3) → e_3
  107. Rotate(D_3, 288*°, B_3) → D'_3
  108. Rotate(E_3, 288*°, B_3) → E'_3
  109. Rotate(F_3, 288*°, B_3) → F'_3
  110. CircumcircleArc(D'_3, E'_3, F'_3) → d'_3
  111. Rotate(G_3, 288*°, B_3) → G'_3
  112. Rotate(H_3, 288*°, B_3) → H'_3
  113. Rotate(I_3, 288*°, B_3) → I'_3
  114. CircumcircleArc(G'_3, H'_3, I'_3) → e'_3
  115. CircumcircleArc(A_{10}, C_{11}, B_6) → c_6
  116. Line(A_{10}, B_6) → a_6
  117. Mirror(A_{10}, a_6) → A'_1
  118. Mirror(C_{11}, a_6) → C'_1
  119. Mirror(B_6, a_6) → B'_1
  120. CircumcircleArc(A'_1, C'_1, B'_1) → c'_1
  121. Rotate(A'_1, 72*°, B_6) → A''_1
  122. Rotate(C'_1, 72*°, B_6) → C''_1
  123. Rotate(B'_1, 72*°, B_6) → B''_1
  124. CircumcircleArc(A''_1, C''_1, B''_1) → c''_1
  125. Rotate(A_{10}, 72*°, B_6) → A'_2
  126. Rotate(C_{11}, 72*°, B_6) → C'_2
  127. Rotate(B_6, 72*°, B_6) → B'_2
  128. CircumcircleArc(A'_2, C'_2, B'_2) → c'_2
  129. Rotate(A_{10}, 288*°, B_6) → A'_{18}
  130. Rotate(C_{11}, 288*°, B_6) → C'_{18}
  131. Rotate(B_6, 288*°, B_6) → B'_{18}
  132. CircumcircleArc(A'_{18}, C'_{18}, B'_{18}) → c'_{18}
  133. Rotate(A'_1, 288*°, B_6) → A''_{12}
  134. Rotate(C'_1, 288*°, B_6) → C''_{12}
  135. Rotate(B'_1, 288*°, B_6) → B''_{12}
  136. CircumcircleArc(A''_{12}, C''_{12}, B''_{12}) → c''_{12}
  137. Rotate(A'_{18}, 288*°, B_6) → D_6
  138. Rotate(C'_{18}, 288*°, B_6) → E_6
  139. Rotate(B'_{18}, 288*°, B_6) → F_6
  140. CircumcircleArc(D_6, E_6, F_6) → d_6
  141. Rotate(A''_{12}, 288*°, B_6) → G_6
  142. Rotate(C''_{12}, 288*°, B_6) → H_6
  143. Rotate(B''_{12}, 288*°, B_6) → I_6
  144. CircumcircleArc(G_6, H_6, I_6) → e_6
  145. Rotate(D_6, 288*°, B_6) → D'_6
  146. Rotate(E_6, 288*°, B_6) → E'_6
  147. Rotate(F_6, 288*°, B_6) → F'_6
  148. CircumcircleArc(D'_6, E'_6, F'_6) → d'_6
  149. Rotate(G_6, 288*°, B_6) → G'_6
  150. Rotate(H_6, 288*°, B_6) → H'_6
  151. Rotate(I_6, 288*°, B_6) → I'_6
  152. CircumcircleArc(G'_6, H'_6, I'_6) → e'_6
  153. CircumcircleArc(A_{11}, C_{12}, B_1) → c_1
  154. Line(A_{11}, B_1) → a_1
  155. Mirror(A_{11}, a_1) → A'_3
  156. Mirror(C_{12}, a_1) → C'_3
  157. Mirror(B_1, a_1) → B'_3
  158. CircumcircleArc(A'_3, C'_3, B'_3) → c'_3
  159. Rotate(A'_3, 72*°, B_1) → A''_2
  160. Rotate(C'_3, 72*°, B_1) → C''_2
  161. Rotate(B'_3, 72*°, B_1) → B''_2
  162. CircumcircleArc(A''_2, C''_2, B''_2) → c''_2
  163. Rotate(A_{11}, 72*°, B_1) → A'_4
  164. Rotate(C_{12}, 72*°, B_1) → C'_4
  165. Rotate(B_1, 72*°, B_1) → B'_4
  166. CircumcircleArc(A'_4, C'_4, B'_4) → c'_4
  167. Rotate(A_{11}, 288*°, B_1) → A'_5
  168. Rotate(C_{12}, 288*°, B_1) → C'_5
  169. Rotate(B_1, 288*°, B_1) → B'_5
  170. CircumcircleArc(A'_5, C'_5, B'_5) → c'_5
  171. Rotate(A'_3, 288*°, B_1) → A''_3
  172. Rotate(C'_3, 288*°, B_1) → C''_3
  173. Rotate(B'_3, 288*°, B_1) → B''_3
  174. CircumcircleArc(A''_3, C''_3, B''_3) → c''_3
  175. Rotate(A'_5, 288*°, B_1) → D_1
  176. Rotate(C'_5, 288*°, B_1) → E_1
  177. Rotate(B'_5, 288*°, B_1) → F_1
  178. CircumcircleArc(D_1, E_1, F_1) → d_1
  179. Rotate(A''_3, 288*°, B_1) → G_1
  180. Rotate(C''_3, 288*°, B_1) → H_1
  181. Rotate(B''_3, 288*°, B_1) → I_1
  182. CircumcircleArc(G_1, H_1, I_1) → e_1
  183. Rotate(D_1, 288*°, B_1) → D'_1
  184. Rotate(E_1, 288*°, B_1) → E'_1
  185. Rotate(F_1, 288*°, B_1) → F'_1
  186. CircumcircleArc(D'_1, E'_1, F'_1) → d'_1
  187. Rotate(G_1, 288*°, B_1) → G'_1
  188. Rotate(H_1, 288*°, B_1) → H'_1
  189. Rotate(I_1, 288*°, B_1) → I'_1
  190. CircumcircleArc(G'_1, H'_1, I'_1) → e'_1
  191. Line(B, D) → a
  192. Mirror(A_7, a) → E
  193. Mirror(C_8, a) → F
  194. Mirror(B_5, a) → G
  195. CircumcircleArc(E, F, G) → c
  196. Mirror(A'_{15}, a) → H
  197. Mirror(C'_{15}, a) → I
  198. Mirror(B'_{15}, a) → J
  199. CircumcircleArc(H, I, J) → d
  200. Mirror(A''_{10}, a) → K
  201. Mirror(C''_{10}, a) → L
  202. Mirror(B''_{10}, a) → M
  203. CircumcircleArc(K, L, M) → e
  204. Mirror(A'_{16}, a) → N
  205. Mirror(C'_{16}, a) → O
  206. Mirror(B'_{16}, a) → P
  207. CircumcircleArc(N, O, P) → f
  208. Mirror(A'_{17}, a) → Q
  209. Mirror(C'_{17}, a) → R
  210. Mirror(B'_{17}, a) → S
  211. CircumcircleArc(Q, R, S) → g
  212. Mirror(A''_{11}, a) → T
  213. Mirror(C''_{11}, a) → U
  214. Mirror(B''_{11}, a) → V
  215. CircumcircleArc(T, U, V) → h
  216. Mirror(D_5, a) → W
  217. Mirror(E_5, a) → Z
  218. Mirror(F_5, a) → J_1
  219. CircumcircleArc(W, Z, J_1) → k
  220. Mirror(G_5, a) → K_1
  221. Mirror(H_5, a) → L_1
  222. Mirror(I_5, a) → M_1
  223. CircumcircleArc(K_1, L_1, M_1) → r
  224. Mirror(D'_5, a) → N_1
  225. Mirror(E'_5, a) → O_1
  226. Mirror(F'_5, a) → P_1
  227. CircumcircleArc(N_1, O_1, P_1) → s
  228. Mirror(G'_5, a) → Q_1
  229. Mirror(H'_5, a) → R_1
  230. Mirror(I'_5, a) → S_1
  231. CircumcircleArc(Q_1, R_1, S_1) → t
  232. Mirror(A_8, a) → T_1
  233. Mirror(C_9, a) → U_1
  234. Mirror(B_2, a) → V_1
  235. CircumcircleArc(T_1, U_1, V_1) → f_1
  236. Mirror(A'_6, a) → W_1
  237. Mirror(C'_6, a) → Z_1
  238. Mirror(B'_6, a) → J_2
  239. CircumcircleArc(W_1, Z_1, J_2) → g_1
  240. Mirror(A''_4, a) → K_2
  241. Mirror(C''_4, a) → L_2
  242. Mirror(B''_4, a) → M_2
  243. CircumcircleArc(K_2, L_2, M_2) → h_1
  244. Mirror(A'_7, a) → N_2
  245. Mirror(C'_7, a) → O_2
  246. Mirror(B'_7, a) → P_2
  247. CircumcircleArc(N_2, O_2, P_2) → k_1
  248. Mirror(A'_8, a) → Q_2
  249. Mirror(C'_8, a) → R_2
  250. Mirror(B'_8, a) → S_2
  251. CircumcircleArc(Q_2, R_2, S_2) → p_1
  252. Mirror(A''_5, a) → T_2
  253. Mirror(C''_5, a) → U_2
  254. Mirror(B''_5, a) → V_2
  255. CircumcircleArc(T_2, U_2, V_2) → q_1
  256. Mirror(D_2, a) → W_2
  257. Mirror(E_2, a) → Z_2
  258. Mirror(F_2, a) → J_3
  259. CircumcircleArc(W_2, Z_2, J_3) → r_1
  260. Mirror(G_2, a) → K_3
  261. Mirror(H_2, a) → L_3
  262. Mirror(I_2, a) → M_3
  263. CircumcircleArc(K_3, L_3, M_3) → s_1
  264. Mirror(D'_2, a) → N_3
  265. Mirror(E'_2, a) → O_3
  266. Mirror(F'_2, a) → P_3
  267. CircumcircleArc(N_3, O_3, P_3) → t_1
  268. Mirror(G'_2, a) → Q_3
  269. Mirror(H'_2, a) → R_3
  270. Mirror(I'_2, a) → S_3
  271. CircumcircleArc(Q_3, R_3, S_3) → f_2
  272. Mirror(A_9, a) → T_3
  273. Mirror(C_{10}, a) → U_3
  274. Mirror(B_3, a) → V_3
  275. CircumcircleArc(T_3, U_3, V_3) → g_2
  276. Mirror(A'_9, a) → W_3
  277. Mirror(C'_9, a) → Z_3
  278. Mirror(B'_9, a) → B_4
  279. CircumcircleArc(W_3, Z_3, B_4) → h_2
  280. Mirror(A''_6, a) → D_4
  281. Mirror(C''_6, a) → E_4
  282. Mirror(B''_6, a) → F_4
  283. CircumcircleArc(D_4, E_4, F_4) → k_2
  284. Mirror(A'_{10}, a) → G_4
  285. Mirror(C'_{10}, a) → H_4
  286. Mirror(B'_{10}, a) → I_4
  287. CircumcircleArc(G_4, H_4, I_4) → p_2
  288. Mirror(A'_{11}, a) → J_4
  289. Mirror(C'_{11}, a) → K_4
  290. Mirror(B'_{11}, a) → L_4
  291. CircumcircleArc(J_4, K_4, L_4) → q_2
  292. Mirror(A''_7, a) → M_4
  293. Mirror(C''_7, a) → N_4
  294. Mirror(B''_7, a) → O_4
  295. CircumcircleArc(M_4, N_4, O_4) → r_2
  296. Mirror(D_3, a) → P_4
  297. Mirror(E_3, a) → Q_4
  298. Mirror(F_3, a) → R_4
  299. CircumcircleArc(P_4, Q_4, R_4) → s_2
  300. Mirror(G_3, a) → S_4
  301. Mirror(H_3, a) → T_4
  302. Mirror(I_3, a) → U_4
  303. CircumcircleArc(S_4, T_4, U_4) → t_2
  304. Mirror(D'_3, a) → V_4
  305. Mirror(E'_3, a) → W_4
  306. Mirror(F'_3, a) → Z_4
  307. CircumcircleArc(V_4, W_4, Z_4) → f_3
  308. Mirror(G'_3, a) → J_5
  309. Mirror(H'_3, a) → K_5
  310. Mirror(I'_3, a) → L_5
  311. CircumcircleArc(J_5, K_5, L_5) → g_3
  312. Mirror(A_{10}, a) → M_5
  313. Mirror(C_{11}, a) → N_5
  314. Mirror(B_6, a) → O_5
  315. CircumcircleArc(M_5, N_5, O_5) → h_3
  316. Mirror(A'_1, a) → P_5
  317. Mirror(C'_1, a) → Q_5
  318. Mirror(B'_1, a) → R_5
  319. CircumcircleArc(P_5, Q_5, R_5) → k_3
  320. Mirror(A''_1, a) → S_5
  321. Mirror(C''_1, a) → T_5
  322. Mirror(B''_1, a) → U_5
  323. CircumcircleArc(S_5, T_5, U_5) → p_3
  324. Mirror(A'_2, a) → V_5
  325. Mirror(C'_2, a) → W_5
  326. Mirror(B'_2, a) → Z_5
  327. CircumcircleArc(V_5, W_5, Z_5) → q_3
  328. Mirror(A'_{18}, a) → J_6
  329. Mirror(C'_{18}, a) → K_6
  330. Mirror(B'_{18}, a) → L_6
  331. CircumcircleArc(J_6, K_6, L_6) → r_3
  332. Mirror(A''_{12}, a) → M_6
  333. Mirror(C''_{12}, a) → N_6
  334. Mirror(B''_{12}, a) → O_6
  335. CircumcircleArc(M_6, N_6, O_6) → s_3
  336. Mirror(D_6, a) → P_6
  337. Mirror(E_6, a) → Q_6
  338. Mirror(F_6, a) → R_6
  339. CircumcircleArc(P_6, Q_6, R_6) → t_3
  340. Mirror(G_6, a) → S_6
  341. Mirror(H_6, a) → T_6
  342. Mirror(I_6, a) → U_6
  343. CircumcircleArc(S_6, T_6, U_6) → c_4
  344. Mirror(D'_6, a) → V_6
  345. Mirror(E'_6, a) → W_6
  346. Mirror(F'_6, a) → Z_6
  347. CircumcircleArc(V_6, W_6, Z_6) → d_4
  348. Mirror(G'_6, a) → B_7
  349. Mirror(H'_6, a) → D_7
  350. Mirror(I'_6, a) → E_7
  351. CircumcircleArc(B_7, D_7, E_7) → e_4
  352. Mirror(A_{11}, a) → F_7
  353. Mirror(C_{12}, a) → G_7
  354. Mirror(B_1, a) → H_7
  355. CircumcircleArc(F_7, G_7, H_7) → f_4
  356. Mirror(A'_3, a) → I_7
  357. Mirror(C'_3, a) → J_7
  358. Mirror(B'_3, a) → K_7
  359. CircumcircleArc(I_7, J_7, K_7) → g_4
  360. Mirror(A''_2, a) → L_7
  361. Mirror(C''_2, a) → M_7
  362. Mirror(B''_2, a) → N_7
  363. CircumcircleArc(L_7, M_7, N_7) → h_4
  364. Mirror(A'_4, a) → O_7
  365. Mirror(C'_4, a) → P_7
  366. Mirror(B'_4, a) → Q_7
  367. CircumcircleArc(O_7, P_7, Q_7) → k_4
  368. Mirror(A'_5, a) → R_7
  369. Mirror(C'_5, a) → S_7
  370. Mirror(B'_5, a) → T_7
  371. CircumcircleArc(R_7, S_7, T_7) → p_4
  372. Mirror(A''_3, a) → U_7
  373. Mirror(C''_3, a) → V_7
  374. Mirror(B''_3, a) → W_7
  375. CircumcircleArc(U_7, V_7, W_7) → q_4
  376. Mirror(D_1, a) → Z_7
  377. Mirror(E_1, a) → B_8
  378. Mirror(F_1, a) → D_8
  379. CircumcircleArc(Z_7, B_8, D_8) → r_4
  380. Mirror(G_1, a) → E_8
  381. Mirror(H_1, a) → F_8
  382. Mirror(I_1, a) → G_8
  383. CircumcircleArc(E_8, F_8, G_8) → s_4
  384. Mirror(D'_1, a) → H_8
  385. Mirror(E'_1, a) → I_8
  386. Mirror(F'_1, a) → J_8
  387. CircumcircleArc(H_8, I_8, J_8) → t_4
  388. Mirror(G'_1, a) → K_8
  389. Mirror(H'_1, a) → L_8
  390. Mirror(I'_1, a) → M_8
  391. CircumcircleArc(K_8, L_8, M_8) → f_5
  392. Line(N_8, O_8) → b
  393. Mirror(A_7, b) → P_8
  394. Mirror(C_8, b) → Q_8
  395. Mirror(B_5, b) → R_8
  396. CircumcircleArc(P_8, Q_8, R_8) → g_5
  397. Mirror(A'_{15}, b) → S_8
  398. Mirror(C'_{15}, b) → T_8
  399. Mirror(B'_{15}, b) → U_8
  400. CircumcircleArc(S_8, T_8, U_8) → h_5
  401. Mirror(A''_{10}, b) → V_8
  402. Mirror(C''_{10}, b) → W_8
  403. Mirror(B''_{10}, b) → Z_8
  404. CircumcircleArc(V_8, W_8, Z_8) → k_5
  405. Mirror(A'_{16}, b) → B_9
  406. Mirror(C'_{16}, b) → D_9
  407. Mirror(B'_{16}, b) → E_9
  408. CircumcircleArc(B_9, D_9, E_9) → p_5
  409. Mirror(A'_{17}, b) → F_9
  410. Mirror(C'_{17}, b) → G_9
  411. Mirror(B'_{17}, b) → H_9
  412. CircumcircleArc(F_9, G_9, H_9) → q_5
  413. Mirror(A''_{11}, b) → I_9
  414. Mirror(C''_{11}, b) → J_9
  415. Mirror(B''_{11}, b) → K_9
  416. CircumcircleArc(I_9, J_9, K_9) → r_5
  417. Mirror(D_5, b) → L_9
  418. Mirror(E_5, b) → M_9
  419. Mirror(F_5, b) → N_9
  420. CircumcircleArc(L_9, M_9, N_9) → s_5
  421. Mirror(G_5, b) → O_9
  422. Mirror(H_5, b) → P_9
  423. Mirror(I_5, b) → Q_9
  424. CircumcircleArc(O_9, P_9, Q_9) → t_5
  425. Mirror(D'_5, b) → R_9
  426. Mirror(E'_5, b) → S_9
  427. Mirror(F'_5, b) → T_9
  428. CircumcircleArc(R_9, S_9, T_9) → f_6
  429. Mirror(G'_5, b) → U_9
  430. Mirror(H'_5, b) → V_9
  431. Mirror(I'_5, b) → W_9
  432. CircumcircleArc(U_9, V_9, W_9) → g_6
  433. Mirror(A_8, b) → Z_9
  434. Mirror(C_9, b) → B_{10}
  435. Mirror(B_2, b) → D_{10}
  436. CircumcircleArc(Z_9, B_{10}, D_{10}) → h_6
  437. Mirror(A'_6, b) → E_{10}
  438. Mirror(C'_6, b) → F_{10}
  439. Mirror(B'_6, b) → G_{10}
  440. CircumcircleArc(E_{10}, F_{10}, G_{10}) → k_6
  441. Mirror(A''_4, b) → H_{10}
  442. Mirror(C''_4, b) → I_{10}
  443. Mirror(B''_4, b) → J_{10}
  444. CircumcircleArc(H_{10}, I_{10}, J_{10}) → p_6
  445. Mirror(A'_7, b) → K_{10}
  446. Mirror(C'_7, b) → L_{10}
  447. Mirror(B'_7, b) → M_{10}
  448. CircumcircleArc(K_{10}, L_{10}, M_{10}) → q_6
  449. Mirror(A'_8, b) → N_{10}
  450. Mirror(C'_8, b) → O_{10}
  451. Mirror(B'_8, b) → P_{10}
  452. CircumcircleArc(N_{10}, O_{10}, P_{10}) → r_6
  453. Mirror(A''_5, b) → Q_{10}
  454. Mirror(C''_5, b) → R_{10}
  455. Mirror(B''_5, b) → S_{10}
  456. CircumcircleArc(Q_{10}, R_{10}, S_{10}) → s_6
  457. Mirror(D_2, b) → T_{10}
  458. Mirror(E_2, b) → U_{10}
  459. Mirror(F_2, b) → V_{10}
  460. CircumcircleArc(T_{10}, U_{10}, V_{10}) → t_6
  461. Mirror(G_2, b) → W_{10}
  462. Mirror(H_2, b) → Z_{10}
  463. Mirror(I_2, b) → B_{11}
  464. CircumcircleArc(W_{10}, Z_{10}, B_{11}) → c_7
  465. Mirror(D'_2, b) → D_{11}
  466. Mirror(E'_2, b) → E_{11}
  467. Mirror(F'_2, b) → F_{11}
  468. CircumcircleArc(D_{11}, E_{11}, F_{11}) → d_7
  469. Mirror(G'_2, b) → G_{11}
  470. Mirror(H'_2, b) → H_{11}
  471. Mirror(I'_2, b) → I_{11}
  472. CircumcircleArc(G_{11}, H_{11}, I_{11}) → e_7
  473. Mirror(A_9, b) → J_{11}
  474. Mirror(C_{10}, b) → K_{11}
  475. Mirror(B_3, b) → L_{11}
  476. CircumcircleArc(J_{11}, K_{11}, L_{11}) → f_7
  477. Mirror(A'_9, b) → M_{11}
  478. Mirror(C'_9, b) → N_{11}
  479. Mirror(B'_9, b) → O_{11}
  480. CircumcircleArc(M_{11}, N_{11}, O_{11}) → g_7
  481. Mirror(A''_6, b) → P_{11}
  482. Mirror(C''_6, b) → Q_{11}
  483. Mirror(B''_6, b) → R_{11}
  484. CircumcircleArc(P_{11}, Q_{11}, R_{11}) → h_7
  485. Mirror(A'_{10}, b) → S_{11}
  486. Mirror(C'_{10}, b) → T_{11}
  487. Mirror(B'_{10}, b) → U_{11}
  488. CircumcircleArc(S_{11}, T_{11}, U_{11}) → k_7
  489. Mirror(A'_{11}, b) → V_{11}
  490. Mirror(C'_{11}, b) → W_{11}
  491. Mirror(B'_{11}, b) → Z_{11}
  492. CircumcircleArc(V_{11}, W_{11}, Z_{11}) → p_7
  493. Mirror(A''_7, b) → B_{12}
  494. Mirror(C''_7, b) → D_{12}
  495. Mirror(B''_7, b) → E_{12}
  496. CircumcircleArc(B_{12}, D_{12}, E_{12}) → q_7
  497. Mirror(D_3, b) → F_{12}
  498. Mirror(E_3, b) → G_{12}
  499. Mirror(F_3, b) → H_{12}
  500. CircumcircleArc(F_{12}, G_{12}, H_{12}) → r_7
  501. Mirror(G_3, b) → I_{12}
  502. Mirror(H_3, b) → J_{12}
  503. Mirror(I_3, b) → K_{12}
  504. CircumcircleArc(I_{12}, J_{12}, K_{12}) → s_7
  505. Mirror(D'_3, b) → L_{12}
  506. Mirror(E'_3, b) → M_{12}
  507. Mirror(F'_3, b) → N_{12}
  508. CircumcircleArc(L_{12}, M_{12}, N_{12}) → t_7
  509. Mirror(G'_3, b) → O_{12}
  510. Mirror(H'_3, b) → P_{12}
  511. Mirror(I'_3, b) → Q_{12}
  512. CircumcircleArc(O_{12}, P_{12}, Q_{12}) → c_8
  513. Mirror(A_{10}, b) → R_{12}
  514. Mirror(C_{11}, b) → S_{12}
  515. Mirror(B_6, b) → T_{12}
  516. CircumcircleArc(R_{12}, S_{12}, T_{12}) → d_8
  517. Mirror(A'_1, b) → U_{12}
  518. Mirror(C'_1, b) → V_{12}
  519. Mirror(B'_1, b) → W_{12}
  520. CircumcircleArc(U_{12}, V_{12}, W_{12}) → e_8
  521. Mirror(A''_1, b) → Z_{12}
  522. Mirror(C''_1, b) → B_{13}
  523. Mirror(B''_1, b) → D_{13}
  524. CircumcircleArc(Z_{12}, B_{13}, D_{13}) → f_8
  525. Mirror(A'_2, b) → E_{13}
  526. Mirror(C'_2, b) → F_{13}
  527. Mirror(B'_2, b) → G_{13}
  528. CircumcircleArc(E_{13}, F_{13}, G_{13}) → g_8
  529. Mirror(A'_{18}, b) → H_{13}
  530. Mirror(C'_{18}, b) → I_{13}
  531. Mirror(B'_{18}, b) → J_{13}
  532. CircumcircleArc(H_{13}, I_{13}, J_{13}) → h_8
  533. Mirror(A''_{12}, b) → K_{13}
  534. Mirror(C''_{12}, b) → L_{13}
  535. Mirror(B''_{12}, b) → M_{13}
  536. CircumcircleArc(K_{13}, L_{13}, M_{13}) → k_8
  537. Mirror(D_6, b) → N_{13}
  538. Mirror(E_6, b) → O_{13}
  539. Mirror(F_6, b) → P_{13}
  540. CircumcircleArc(N_{13}, O_{13}, P_{13}) → p_8
  541. Mirror(G_6, b) → Q_{13}
  542. Mirror(H_6, b) → R_{13}
  543. Mirror(I_6, b) → S_{13}
  544. CircumcircleArc(Q_{13}, R_{13}, S_{13}) → q_8
  545. Mirror(D'_6, b) → T_{13}
  546. Mirror(E'_6, b) → U_{13}
  547. Mirror(F'_6, b) → V_{13}
  548. CircumcircleArc(T_{13}, U_{13}, V_{13}) → r_8
  549. Mirror(G'_6, b) → W_{13}
  550. Mirror(H'_6, b) → Z_{13}
  551. Mirror(I'_6, b) → B_{14}
  552. CircumcircleArc(W_{13}, Z_{13}, B_{14}) → s_8
  553. Mirror(A_{11}, b) → D_{14}
  554. Mirror(C_{12}, b) → E_{14}
  555. Mirror(B_1, b) → F_{14}
  556. CircumcircleArc(D_{14}, E_{14}, F_{14}) → t_8
  557. Mirror(A'_3, b) → G_{14}
  558. Mirror(C'_3, b) → H_{14}
  559. Mirror(B'_3, b) → I_{14}
  560. CircumcircleArc(G_{14}, H_{14}, I_{14}) → c_9
  561. Mirror(A''_2, b) → J_{14}
  562. Mirror(C''_2, b) → K_{14}
  563. Mirror(B''_2, b) → L_{14}
  564. CircumcircleArc(J_{14}, K_{14}, L_{14}) → d_9
  565. Mirror(A'_4, b) → M_{14}
  566. Mirror(C'_4, b) → N_{14}
  567. Mirror(B'_4, b) → O_{14}
  568. CircumcircleArc(M_{14}, N_{14}, O_{14}) → e_9
  569. Mirror(A'_5, b) → P_{14}
  570. Mirror(C'_5, b) → Q_{14}
  571. Mirror(B'_5, b) → R_{14}
  572. CircumcircleArc(P_{14}, Q_{14}, R_{14}) → f_9
  573. Mirror(A''_3, b) → S_{14}
  574. Mirror(C''_3, b) → T_{14}
  575. Mirror(B''_3, b) → U_{14}
  576. CircumcircleArc(S_{14}, T_{14}, U_{14}) → g_9
  577. Mirror(D_1, b) → V_{14}
  578. Mirror(E_1, b) → W_{14}
  579. Mirror(F_1, b) → Z_{14}
  580. CircumcircleArc(V_{14}, W_{14}, Z_{14}) → h_9
  581. Mirror(G_1, b) → B_{15}
  582. Mirror(H_1, b) → D_{15}
  583. Mirror(I_1, b) → E_{15}
  584. CircumcircleArc(B_{15}, D_{15}, E_{15}) → k_9
  585. Mirror(D'_1, b) → F_{15}
  586. Mirror(E'_1, b) → G_{15}
  587. Mirror(F'_1, b) → H_{15}
  588. CircumcircleArc(F_{15}, G_{15}, H_{15}) → p_9
  589. Mirror(G'_1, b) → I_{15}
  590. Mirror(H'_1, b) → J_{15}
  591. Mirror(I'_1, b) → K_{15}
  592. CircumcircleArc(I_{15}, J_{15}, K_{15}) → q_9
  593. Mirror(E, b) → E'
  594. Mirror(F, b) → F'
  595. Mirror(G, b) → G'
  596. CircumcircleArc(E', F', G') → c'
  597. Mirror(H, b) → H'
  598. Mirror(I, b) → I'
  599. Mirror(J, b) → J'
  600. CircumcircleArc(H', I', J') → d'
  601. Mirror(K, b) → K'
  602. Mirror(L, b) → L'
  603. Mirror(M, b) → M'
  604. CircumcircleArc(K', L', M') → e'
  605. Mirror(N, b) → N'
  606. Mirror(O, b) → O'
  607. Mirror(P, b) → P'
  608. CircumcircleArc(N', O', P') → f'
  609. Mirror(Q, b) → Q'
  610. Mirror(R, b) → R'
  611. Mirror(S, b) → S'
  612. CircumcircleArc(Q', R', S') → g'
  613. Mirror(T, b) → T'
  614. Mirror(U, b) → U'
  615. Mirror(V, b) → V'
  616. CircumcircleArc(T', U', V') → h'
  617. Mirror(W, b) → W'
  618. Mirror(Z, b) → Z'
  619. Mirror(J_1, b) → L_{15}
  620. CircumcircleArc(W', Z', L_{15}) → k'
  621. Mirror(K_1, b) → M_{15}
  622. Mirror(L_1, b) → N_{15}
  623. Mirror(M_1, b) → O_{15}
  624. CircumcircleArc(M_{15}, N_{15}, O_{15}) → r'
  625. Mirror(N_1, b) → P_{15}
  626. Mirror(O_1, b) → Q_{15}
  627. Mirror(P_1, b) → R_{15}
  628. CircumcircleArc(P_{15}, Q_{15}, R_{15}) → s'
  629. Mirror(Q_1, b) → S_{15}
  630. Mirror(R_1, b) → T_{15}
  631. Mirror(S_1, b) → U_{15}
  632. CircumcircleArc(S_{15}, T_{15}, U_{15}) → t'
  633. Mirror(T_1, b) → V_{15}
  634. Mirror(U_1, b) → W_{15}
  635. Mirror(V_1, b) → Z_{15}
  636. CircumcircleArc(V_{15}, W_{15}, Z_{15}) → r_9
  637. Mirror(W_1, b) → B_{16}
  638. Mirror(Z_1, b) → D_{16}
  639. Mirror(J_2, b) → E_{16}
  640. CircumcircleArc(B_{16}, D_{16}, E_{16}) → s_9
  641. Mirror(K_2, b) → F_{16}
  642. Mirror(L_2, b) → G_{16}
  643. Mirror(M_2, b) → H_{16}
  644. CircumcircleArc(F_{16}, G_{16}, H_{16}) → t_9
  645. Mirror(N_2, b) → I_{16}
  646. Mirror(O_2, b) → J_{16}
  647. Mirror(P_2, b) → K_{16}
  648. CircumcircleArc(I_{16}, J_{16}, K_{16}) → c_{10}
  649. Mirror(Q_2, b) → L_{16}
  650. Mirror(R_2, b) → M_{16}
  651. Mirror(S_2, b) → N_{16}
  652. CircumcircleArc(L_{16}, M_{16}, N_{16}) → d_{10}
  653. Mirror(T_2, b) → O_{16}
  654. Mirror(U_2, b) → P_{16}
  655. Mirror(V_2, b) → Q_{16}
  656. CircumcircleArc(O_{16}, P_{16}, Q_{16}) → e_{10}
  657. Mirror(W_2, b) → R_{16}
  658. Mirror(Z_2, b) → S_{16}
  659. Mirror(J_3, b) → T_{16}
  660. CircumcircleArc(R_{16}, S_{16}, T_{16}) → f_{10}
  661. Mirror(K_3, b) → U_{16}
  662. Mirror(L_3, b) → V_{16}
  663. Mirror(M_3, b) → W_{16}
  664. CircumcircleArc(U_{16}, V_{16}, W_{16}) → g_{10}
  665. Mirror(N_3, b) → Z_{16}
  666. Mirror(O_3, b) → A_{17}
  667. Mirror(P_3, b) → B_{17}
  668. CircumcircleArc(Z_{16}, A_{17}, B_{17}) → h_{10}
  669. Mirror(Q_3, b) → D_{17}
  670. Mirror(R_3, b) → E_{17}
  671. Mirror(S_3, b) → F_{17}
  672. CircumcircleArc(D_{17}, E_{17}, F_{17}) → k_{10}
  673. Mirror(T_3, b) → G_{17}
  674. Mirror(U_3, b) → H_{17}
  675. Mirror(V_3, b) → I_{17}
  676. CircumcircleArc(G_{17}, H_{17}, I_{17}) → p_{10}
  677. Mirror(W_3, b) → J_{17}
  678. Mirror(Z_3, b) → K_{17}
  679. Mirror(B_4, b) → L_{17}
  680. CircumcircleArc(J_{17}, K_{17}, L_{17}) → q_{10}
  681. Mirror(D_4, b) → M_{17}
  682. Mirror(E_4, b) → N_{17}
  683. Mirror(F_4, b) → O_{17}
  684. CircumcircleArc(M_{17}, N_{17}, O_{17}) → r_{10}
  685. Mirror(G_4, b) → P_{17}
  686. Mirror(H_4, b) → Q_{17}
  687. Mirror(I_4, b) → R_{17}
  688. CircumcircleArc(P_{17}, Q_{17}, R_{17}) → s_{10}
  689. Mirror(J_4, b) → S_{17}
  690. Mirror(K_4, b) → T_{17}
  691. Mirror(L_4, b) → U_{17}
  692. CircumcircleArc(S_{17}, T_{17}, U_{17}) → t_{10}
  693. Mirror(M_4, b) → V_{17}
  694. Mirror(N_4, b) → W_{17}
  695. Mirror(O_4, b) → Z_{17}
  696. CircumcircleArc(V_{17}, W_{17}, Z_{17}) → c_{11}
  697. Mirror(P_4, b) → A_{18}
  698. Mirror(Q_4, b) → B_{18}
  699. Mirror(R_4, b) → C_{18}
  700. CircumcircleArc(A_{18}, B_{18}, C_{18}) → d_{11}
  701. Mirror(S_4, b) → D_{18}
  702. Mirror(T_4, b) → E_{18}
  703. Mirror(U_4, b) → F_{18}
  704. CircumcircleArc(D_{18}, E_{18}, F_{18}) → e_{11}
  705. Mirror(V_4, b) → G_{18}
  706. Mirror(W_4, b) → H_{18}
  707. Mirror(Z_4, b) → I_{18}
  708. CircumcircleArc(G_{18}, H_{18}, I_{18}) → f_{11}
  709. Mirror(J_5, b) → J_{18}
  710. Mirror(K_5, b) → K_{18}
  711. Mirror(L_5, b) → L_{18}
  712. CircumcircleArc(J_{18}, K_{18}, L_{18}) → g_{11}
  713. Mirror(M_5, b) → M_{18}
  714. Mirror(N_5, b) → N_{18}
  715. Mirror(O_5, b) → O_{18}
  716. CircumcircleArc(M_{18}, N_{18}, O_{18}) → h_{11}
  717. Mirror(P_5, b) → P_{18}
  718. Mirror(Q_5, b) → Q_{18}
  719. Mirror(R_5, b) → R_{18}
  720. CircumcircleArc(P_{18}, Q_{18}, R_{18}) → k_{11}
  721. Mirror(S_5, b) → S_{18}
  722. Mirror(T_5, b) → T_{18}
  723. Mirror(U_5, b) → U_{18}
  724. CircumcircleArc(S_{18}, T_{18}, U_{18}) → p_{11}
  725. Mirror(V_5, b) → V_{18}
  726. Mirror(W_5, b) → W_{18}
  727. Mirror(Z_5, b) → Z_{18}
  728. CircumcircleArc(V_{18}, W_{18}, Z_{18}) → q_{11}
  729. Mirror(J_6, b) → A_{19}
  730. Mirror(K_6, b) → B_{19}
  731. Mirror(L_6, b) → C_{19}
  732. CircumcircleArc(A_{19}, B_{19}, C_{19}) → r_{11}
  733. Mirror(M_6, b) → D_{19}
  734. Mirror(N_6, b) → E_{19}
  735. Mirror(O_6, b) → F_{19}
  736. CircumcircleArc(D_{19}, E_{19}, F_{19}) → s_{11}
  737. Mirror(P_6, b) → G_{19}
  738. Mirror(Q_6, b) → H_{19}
  739. Mirror(R_6, b) → I_{19}
  740. CircumcircleArc(G_{19}, H_{19}, I_{19}) → t_{11}
  741. Mirror(S_6, b) → J_{19}
  742. Mirror(T_6, b) → K_{19}
  743. Mirror(U_6, b) → L_{19}
  744. CircumcircleArc(J_{19}, K_{19}, L_{19}) → c_{12}
  745. Mirror(V_6, b) → M_{19}
  746. Mirror(W_6, b) → N_{19}
  747. Mirror(Z_6, b) → O_{19}
  748. CircumcircleArc(M_{19}, N_{19}, O_{19}) → d_{12}
  749. Mirror(B_7, b) → P_{19}
  750. Mirror(D_7, b) → Q_{19}
  751. Mirror(E_7, b) → R_{19}
  752. CircumcircleArc(P_{19}, Q_{19}, R_{19}) → e_{12}
  753. Mirror(F_7, b) → S_{19}
  754. Mirror(G_7, b) → T_{19}
  755. Mirror(H_7, b) → U_{19}
  756. CircumcircleArc(S_{19}, T_{19}, U_{19}) → f_{12}
  757. Mirror(I_7, b) → V_{19}
  758. Mirror(J_7, b) → W_{19}
  759. Mirror(K_7, b) → Z_{19}
  760. CircumcircleArc(V_{19}, W_{19}, Z_{19}) → g_{12}
  761. Mirror(L_7, b) → A_{20}
  762. Mirror(M_7, b) → B_{20}
  763. Mirror(N_7, b) → C_{20}
  764. CircumcircleArc(A_{20}, B_{20}, C_{20}) → h_{12}
  765. Mirror(O_7, b) → D_{20}
  766. Mirror(P_7, b) → E_{20}
  767. Mirror(Q_7, b) → F_{20}
  768. CircumcircleArc(D_{20}, E_{20}, F_{20}) → k_{12}
  769. Mirror(R_7, b) → G_{20}
  770. Mirror(S_7, b) → H_{20}
  771. Mirror(T_7, b) → I_{20}
  772. CircumcircleArc(G_{20}, H_{20}, I_{20}) → p_{12}
  773. Mirror(U_7, b) → J_{20}
  774. Mirror(V_7, b) → K_{20}
  775. Mirror(W_7, b) → L_{20}
  776. CircumcircleArc(J_{20}, K_{20}, L_{20}) → q_{12}
  777. Mirror(Z_7, b) → M_{20}
  778. Mirror(B_8, b) → N_{20}
  779. Mirror(D_8, b) → O_{20}
  780. CircumcircleArc(M_{20}, N_{20}, O_{20}) → r_{12}
  781. Mirror(E_8, b) → P_{20}
  782. Mirror(F_8, b) → Q_{20}
  783. Mirror(G_8, b) → R_{20}
  784. CircumcircleArc(P_{20}, Q_{20}, R_{20}) → s_{12}
  785. Mirror(H_8, b) → S_{20}
  786. Mirror(I_8, b) → T_{20}
  787. Mirror(J_8, b) → U_{20}
  788. CircumcircleArc(S_{20}, T_{20}, U_{20}) → t_{12}
  789. Mirror(K_8, b) → V_{20}
  790. Mirror(L_8, b) → W_{20}
  791. Mirror(M_8, b) → Z_{20}
  792. CircumcircleArc(V_{20}, W_{20}, Z_{20}) → c_{13}

AI 绘图提示语参考

绘制一个对称图案,从一个初始点开始,通过反射和旋转创建多个对称点。然后连接这些点并绘制圆弧,形成复杂的对称设计。图案由多个圆弧和对称点组成,展示轴对称和旋转变换的原理。
以上提示语为根据原始绘图命令整理而来,仅供参考。