平铺图案演示

平铺图案演示
几何画板及绘图内容加载中,请稍等……
2015-01-11 04:22
①本范例演示了如何通过旋转和几何作图构建平铺图案;②涉及的核心数学概念包括三角函数、解析几何、几何变换和线性回归;③作图要点——从下方『构造摘要』提炼用到了Line(线)、OrthogonalLine(垂线)、Point(点)、Segment(线段)、Rotate(旋转)、Angle(角度)、Intersect(交点等 GeoGebra 命令/对象;④适合高中数学教学,用于理解几何变换在平面图案设计中的应用。

GeoGebra 命令及参数

  1. Line(A, B) → a
  2. OrthogonalLine(B, a) → b
  3. OrthogonalLine(A, a) → c
  4. Point(c) → C
  5. OrthogonalLine(C, c) → d
  6. Point(c) → D
  7. OrthogonalLine(D, c) → e
  8. Point(b) → E
  9. OrthogonalLine(E, b) → f
  10. Point(b) → F
  11. OrthogonalLine(F, b) → g
  12. Point(b) → G
  13. OrthogonalLine(G, b) → h
  14. Point(b) → H
  15. OrthogonalLine(H, b) → i
  16. Point(i) → I
  17. OrthogonalLine(I, i) → j
  18. Point(h) → J
  19. OrthogonalLine(J, h) → k
  20. Point(g) → K
  21. OrthogonalLine(K, g) → l
  22. Point(i) → L
  23. OrthogonalLine(L, i) → m
  24. Point(h) → M
  25. OrthogonalLine(M, h) → n
  26. Point(g) → N
  27. OrthogonalLine(N, g) → p
  28. Point(c) → O
  29. Segment(O, P) → q
  30. Rotate(O, -45*°, P) → O'
  31. Angle(O', P, O) → α
  32. Segment(P, O') → r
  33. Point(b) → Q
  34. Segment(Q, R) → s
  35. Segment(R, O') → t
  36. Segment(O, S) → a_1
  37. Point(d) → T
  38. Segment(S, T) → b_1
  39. Segment(T, U) → c_1
  40. Segment(U, Q) → d_1
  41. Segment(V, T) → e_1
  42. Point(b) → W
  43. Segment(V, W) → f_1
  44. Point(c) → A_1
  45. Segment(Z, A_1) → g_1
  46. Point(e) → B_1
  47. Segment(Z, B_1) → h_1
  48. Segment(C_1, T) → i_1
  49. Segment(C_1, A_1) → j_1
  50. Segment(D_1, W) → k_1
  51. Segment(B_1, D_1) → l_1
  52. Point(j) → F_1
  53. Segment(E_1, F_1) → m_1
  54. Point(d) → G_1
  55. Segment(G_1, E_1) → n_1
  56. Segment(H_1, O) → p_1
  57. Point(a) → I_1
  58. Segment(H_1, I_1) → q_1
  59. Segment(J_1, O) → r_1
  60. Segment(J_1, G_1) → s_1
  61. Segment(K_1, I_1) → t_1
  62. Segment(K_1, F_1) → a_2
  63. Point(j) → M_1
  64. Segment(L_1, M_1) → b_2
  65. Point(e) → N_1
  66. Segment(N_1, L_1) → c_2
  67. Segment(O_1, G_1) → d_2
  68. Segment(O_1, M_1) → e_2
  69. Segment(P_1, A_1) → f_2
  70. Segment(P_1, G_1) → g_2
  71. Segment(Q_1, A_1) → h_2
  72. Segment(Q_1, N_1) → i_2
  73. Point(c) → S_1
  74. Segment(R_1, S_1) → j_2
  75. Point(f) → T_1
  76. Segment(T_1, R_1) → k_2
  77. Segment(U_1, B_1) → l_2
  78. Segment(U_1, S_1) → m_2
  79. Segment(V_1, B_1) → n_2
  80. Point(b) → W_1
  81. Segment(V_1, W_1) → p_2
  82. Segment(Z_1, W_1) → q_2
  83. Segment(T_1, Z_1) → r_2
  84. Point(c) → B_2
  85. Segment(A_2, B_2) → s_2
  86. Point(g) → C_2
  87. Segment(C_2, A_2) → t_2
  88. Segment(D_2, T_1) → a_3
  89. Segment(B_2, D_2) → b_3
  90. Segment(E_2, T_1) → c_3
  91. Point(b) → F_2
  92. Segment(E_2, F_2) → d_3
  93. Segment(G_2, F_2) → e_3
  94. Segment(C_2, G_2) → f_3
  95. Point(c) → I_2
  96. Segment(H_2, I_2) → g_3
  97. Segment(I_2, J_2) → h_3
  98. Segment(J_2, C_2) → i_3
  99. Point(h) → K_2
  100. Segment(H_2, K_2) → j_3
  101. Segment(K_2, L_2) → k_3
  102. Point(b) → M_2
  103. Segment(L_2, M_2) → l_3
  104. Segment(M_2, N_2) → m_3
  105. Segment(N_2, C_2) → n_3
  106. Point(c) → P_2
  107. Segment(O_2, P_2) → p_3
  108. Point(i) → Q_2
  109. Segment(Q_2, O_2) → q_3
  110. Segment(R_2, K_2) → r_3
  111. Segment(R_2, P_2) → s_3
  112. Point(b) → T_2
  113. Segment(S_2, T_2) → t_3
  114. Segment(S_2, K_2) → a_4
  115. Segment(U_2, T_2) → b_4
  116. Segment(Q_2, U_2) → c_4
  117. Point(j) → W_2
  118. Segment(V_2, W_2) → d_4
  119. Segment(W_2, Z_2) → e_4
  120. Segment(Z_2, N_1) → f_4
  121. Point(f) → A_3
  122. Segment(A_3, V_2) → g_4
  123. Segment(A_3, B_3) → h_4
  124. Segment(B_3, S_1) → i_4
  125. Segment(S_1, C_3) → j_4
  126. Segment(C_3, N_1) → k_4
  127. Point(g) → E_3
  128. Segment(D_3, E_3) → l_4
  129. Segment(E_3, F_3) → m_4
  130. Segment(F_3, B_2) → n_4
  131. Segment(B_2, G_3) → p_4
  132. Segment(G_3, A_3) → q_4
  133. Point(j) → H_3
  134. Segment(D_3, H_3) → r_4
  135. Segment(H_3, I_3) → s_4
  136. Segment(I_3, A_3) → t_4
  137. Point(j) → K_3
  138. Segment(J_3, K_3) → a_5
  139. Segment(K_3, L_3) → b_5
  140. Segment(L_3, E_3) → c_5
  141. Segment(E_3, M_3) → d_5
  142. Segment(M_3, I_2) → e_5
  143. Point(h) → N_3
  144. Segment(N_3, J_3) → f_5
  145. Segment(N_3, O_3) → g_5
  146. Segment(O_3, I_2) → h_5
  147. Point(j) → Q_3
  148. Segment(P_3, Q_3) → i_5
  149. Segment(Q_3, R_3) → j_5
  150. Segment(R_3, N_3) → k_5
  151. Segment(N_3, S_3) → l_5
  152. Segment(S_3, P_2) → m_5
  153. Segment(P_2, T_3) → n_5
  154. Point(i) → U_3
  155. Segment(T_3, U_3) → p_5
  156. Segment(U_3, P_3) → q_5
  157. Point(k) → W_3
  158. Segment(V_3, W_3) → r_5
  159. Segment(W_3, Z_3) → s_5
  160. Point(a) → A_4
  161. Segment(Z_3, A_4) → t_5
  162. Segment(A_4, B_4) → a_6
  163. Segment(B_4, F_1) → b_6
  164. Segment(F_1, C_4) → c_6
  165. Point(d) → D_4
  166. Segment(C_4, D_4) → d_6
  167. Segment(D_4, V_3) → e_6
  168. Point(k) → F_4
  169. Segment(E_4, F_4) → f_6
  170. Point(e) → G_4
  171. Segment(G_4, E_4) → g_6
  172. Segment(G_4, H_4) → h_6
  173. Segment(H_4, M_1) → i_6
  174. Segment(M_1, I_4) → j_6
  175. Segment(I_4, D_4) → k_6
  176. Segment(D_4, J_4) → l_6
  177. Segment(J_4, F_4) → m_6
  178. Point(k) → L_4
  179. Segment(K_4, L_4) → n_6
  180. Segment(L_4, M_4) → p_6
  181. Segment(M_4, G_4) → q_6
  182. Segment(G_4, N_4) → r_6
  183. Segment(N_4, W_2) → s_6
  184. Segment(W_2, O_4) → t_6
  185. Point(f) → P_4
  186. Segment(O_4, P_4) → a_7
  187. Segment(P_4, K_4) → b_7
  188. Point(k) → R_4
  189. Segment(Q_4, R_4) → c_7
  190. Segment(R_4, S_4) → d_7
  191. Segment(S_4, P_4) → e_7
  192. Segment(P_4, T_4) → f_7
  193. Segment(T_4, H_3) → g_7
  194. Segment(H_3, U_4) → h_7
  195. Point(g) → V_4
  196. Segment(U_4, V_4) → i_7
  197. Segment(V_4, Q_4) → j_7
  198. Point(k) → Z_4
  199. Segment(W_4, Z_4) → k_7
  200. Segment(Z_4, A_5) → l_7
  201. Segment(A_5, V_4) → m_7
  202. Segment(V_4, B_5) → n_7
  203. Segment(B_5, K_3) → p_7
  204. Segment(K_3, C_5) → q_7
  205. Point(h) → D_5
  206. Segment(C_5, D_5) → r_7
  207. Segment(D_5, W_4) → s_7
  208. Point(k) → F_5
  209. Segment(E_5, F_5) → t_7
  210. Segment(F_5, G_5) → a_8
  211. Segment(G_5, D_5) → b_8
  212. Segment(D_5, H_5) → c_8
  213. Segment(H_5, Q_3) → d_8
  214. Segment(Q_3, I_5) → e_8
  215. Point(i) → J_5
  216. Segment(I_5, J_5) → f_8
  217. Segment(J_5, E_5) → g_8
  218. Point(l) → L_5
  219. Segment(K_5, L_5) → h_8
  220. Segment(L_5, M_5) → i_8
  221. Point(a) → N_5
  222. Segment(M_5, N_5) → j_8
  223. Segment(N_5, O_5) → k_8
  224. Segment(O_5, W_3) → l_8
  225. Segment(W_3, P_5) → m_8
  226. Point(d) → Q_5
  227. Segment(P_5, Q_5) → n_8
  228. Segment(Q_5, K_5) → p_8
  229. Point(l) → S_5
  230. Segment(R_5, S_5) → q_8
  231. Segment(S_5, T_5) → r_8
  232. Segment(T_5, Q_5) → s_8
  233. Segment(Q_5, U_5) → t_8
  234. Segment(U_5, F_4) → a_9
  235. Segment(F_4, V_5) → b_9
  236. Point(e) → W_5
  237. Segment(V_5, W_5) → c_9
  238. Segment(W_5, R_5) → d_9
  239. Point(l) → A_6
  240. Segment(Z_5, A_6) → e_9
  241. Segment(A_6, B_6) → f_9
  242. Segment(B_6, W_5) → g_9
  243. Point(f) → C_6
  244. Segment(Z_5, C_6) → h_9
  245. Segment(C_6, D_6) → i_9
  246. Segment(D_6, L_4) → j_9
  247. Segment(L_4, E_6) → k_9
  248. Segment(E_6, W_5) → l_9
  249. Point(l) → G_6
  250. Segment(F_6, G_6) → m_9
  251. Segment(G_6, H_6) → n_9
  252. Segment(H_6, C_6) → p_9
  253. Segment(C_6, I_6) → q_9
  254. Segment(I_6, R_4) → r_9
  255. Segment(R_4, J_6) → s_9
  256. Point(g) → K_6
  257. Segment(J_6, K_6) → t_9
  258. Segment(K_6, F_6) → a_{10}
  259. Point(l) → M_6
  260. Segment(L_6, M_6) → b_{10}
  261. Segment(M_6, N_6) → c_{10}
  262. Segment(N_6, K_6) → d_{10}
  263. Point(h) → O_6
  264. Segment(L_6, O_6) → e_{10}
  265. Segment(O_6, P_6) → f_{10}
  266. Segment(P_6, Z_4) → g_{10}
  267. Segment(Z_4, Q_6) → h_{10}
  268. Segment(Q_6, K_6) → i_{10}
  269. Point(i) → S_6
  270. Segment(R_6, S_6) → j_{10}
  271. Segment(S_6, T_6) → k_{10}
  272. Segment(T_6, F_5) → l_{10}
  273. Segment(F_5, U_6) → m_{10}
  274. Segment(U_6, O_6) → n_{10}
  275. Segment(O_6, V_6) → p_{10}
  276. Point(l) → W_6
  277. Segment(V_6, W_6) → q_{10}
  278. Segment(W_6, R_6) → r_{10}
  279. Point(m) → A_7
  280. Segment(Z_6, A_7) → s_{10}
  281. Segment(A_7, B_7) → t_{10}
  282. Point(a) → C_7
  283. Segment(B_7, C_7) → a_{11}
  284. Segment(C_7, D_7) → b_{11}
  285. Segment(D_7, L_5) → c_{11}
  286. Segment(L_5, E_7) → d_{11}
  287. Point(d) → F_7
  288. Segment(E_7, F_7) → e_{11}
  289. Segment(F_7, Z_6) → f_{11}
  290. Point(m) → H_7
  291. Segment(G_7, H_7) → g_{11}
  292. Segment(H_7, I_7) → h_{11}
  293. Segment(I_7, F_7) → i_{11}
  294. Segment(F_7, J_7) → j_{11}
  295. Segment(J_7, S_5) → k_{11}
  296. Segment(S_5, K_7) → l_{11}
  297. Point(e) → L_7
  298. Segment(K_7, L_7) → m_{11}
  299. Segment(L_7, G_7) → n_{11}
  300. Point(m) → O_7
  301. Segment(N_7, O_7) → p_{11}
  302. Segment(O_7, P_7) → q_{11}
  303. Segment(P_7, L_7) → r_{11}
  304. Segment(L_7, Q_7) → s_{11}
  305. Segment(Q_7, A_6) → t_{11}
  306. Segment(A_6, R_7) → a_{12}
  307. Point(f) → S_7
  308. Segment(R_7, S_7) → b_{12}
  309. Segment(S_7, N_7) → c_{12}
  310. Point(m) → U_7
  311. Segment(T_7, U_7) → d_{12}
  312. Segment(U_7, V_7) → e_{12}
  313. Segment(V_7, S_7) → f_{12}
  314. Segment(W_7, T_7) → g_{12}
  315. Segment(W_7, Z_7) → h_{12}
  316. Segment(Z_7, G_6) → i_{12}
  317. Segment(G_6, A_8) → j_{12}
  318. Segment(A_8, S_7) → k_{12}
  319. Point(b_9) → B_8
  320. Point(m) → D_8
  321. Segment(C_8, D_8) → l_{12}
  322. Segment(D_8, E_8) → m_{12}
  323. Segment(E_8, W_7) → n_{12}
  324. Segment(W_7, F_8) → p_{12}
  325. Segment(F_8, M_6) → q_{12}
  326. Segment(M_6, G_8) → r_{12}
  327. Point(h) → H_8
  328. Segment(G_8, H_8) → s_{12}
  329. Segment(H_8, C_8) → t_{12}
  330. Point(m) → J_8
  331. Segment(I_8, J_8) → a_{13}
  332. Segment(J_8, K_8) → b_{13}
  333. Segment(K_8, H_8) → c_{13}
  334. Segment(H_8, L_8) → d_{13}
  335. Segment(L_8, W_6) → e_{13}
  336. Segment(W_6, M_8) → f_{13}
  337. Point(i) → N_8
  338. Segment(M_8, N_8) → g_{13}
  339. Segment(N_8, I_8) → h_{13}
  340. Point(n) → P_8
  341. Segment(P_8, O_8) → i_{13}
  342. Point(d) → Q_8
  343. Segment(O_8, Q_8) → j_{13}
  344. Segment(Q_8, R_8) → k_{13}
  345. Segment(R_8, A_7) → l_{13}
  346. Segment(A_7, S_8) → m_{13}
  347. Point(a) → T_8
  348. Segment(S_8, T_8) → n_{13}
  349. Segment(T_8, U_8) → p_{13}
  350. Segment(U_8, P_8) → q_{13}
  351. Point(n) → W_8
  352. Segment(V_8, W_8) → r_{13}
  353. Segment(W_8, Z_8) → s_{13}
  354. Segment(Z_8, Q_8) → t_{13}
  355. Point(e) → A_9
  356. Segment(V_8, A_9) → a_{14}
  357. Segment(A_9, B_9) → b_{14}
  358. Segment(B_9, H_7) → c_{14}
  359. Segment(H_7, C_9) → d_{14}
  360. Segment(C_9, Q_8) → e_{14}
  361. Point(n) → E_9
  362. Segment(D_9, E_9) → f_{14}
  363. Segment(E_9, F_9) → g_{14}
  364. Segment(F_9, A_9) → h_{14}
  365. Segment(A_9, G_9) → i_{14}
  366. Segment(G_9, O_7) → j_{14}
  367. Segment(O_7, H_9) → k_{14}
  368. Point(f) → I_9
  369. Segment(H_9, I_9) → l_{14}
  370. Segment(I_9, D_9) → m_{14}
  371. Point(n) → K_9
  372. Segment(J_9, K_9) → n_{14}
  373. Segment(K_9, L_9) → p_{14}
  374. Segment(L_9, I_9) → q_{14}
  375. Segment(I_9, M_9) → r_{14}
  376. Segment(M_9, U_7) → s_{14}
  377. Segment(U_7, N_9) → t_{14}
  378. Point(g) → O_9
  379. Segment(N_9, O_9) → a_{15}
  380. Segment(O_9, J_9) → b_{15}
  381. Point(n) → Q_9
  382. Segment(P_9, Q_9) → c_{15}
  383. Segment(Q_9, R_9) → d_{15}
  384. Segment(R_9, O_9) → e_{15}
  385. Segment(O_9, S_9) → f_{15}
  386. Segment(S_9, D_8) → g_{15}
  387. Segment(D_8, T_9) → h_{15}
  388. Point(h) → U_9
  389. Segment(T_9, U_9) → i_{15}
  390. Segment(U_9, P_9) → j_{15}
  391. Segment(V_9, W_9) → k_{15}
  392. Segment(W_9, Z_9) → l_{15}
  393. Segment(Z_9, U_9) → m_{15}
  394. Segment(U_9, A_{10}) → n_{15}
  395. Segment(A_{10}, J_8) → p_{15}
  396. Segment(J_8, B_{10}) → q_{15}
  397. Point(i) → C_{10}
  398. Segment(B_{10}, C_{10}) → r_{15}
  399. Segment(V_9, C_{10}) → s_{15}
  400. Intersect(i, n) → D_{10}
  401. Intersect(a, n) → E_{10}
  402. Segment(D_{10}, E_{10}) → t_{15}
  403. Segment(D_{10}, H) → a_{16}
  404. Segment(G, M) → b_{16}
  405. Point(g) → F_{10}
  406. Segment(F_{10}, F) → c_{16}
  407. Point(f) → G_{10}
  408. Segment(E, G_{10}) → d_{16}
  409. Point(e) → H_{10}
  410. Point(e) → I_{10}
  411. Segment(H_{10}, I_{10}) → e_{16}
  412. Point(d) → J_{10}
  413. Point(d) → K_{10}
  414. Segment(J_{10}, K_{10}) → f_{16}
  415. Segment(E_{10}, B) → g_{16}
  416. Segment(B, H) → h_{16}
  417. Point(c) → L_{10}
  418. Segment(L_{10}, A) → i_{16}
  419. Point(j) → M_{10}
  420. Segment(M_{10}, I) → j_{16}
  421. Point(k) → N_{10}
  422. Point(k) → O_{10}
  423. Segment(N_{10}, O_{10}) → k_{16}
  424. Point(l) → P_{10}
  425. Point(l) → Q_{10}
  426. Segment(P_{10}, Q_{10}) → l_{16}
  427. Segment(K_{10}, J_{10}) → m_{16}
  428. Segment(I_{10}, H_{10}) → n_{16}
  429. Point(m) → R_{10}
  430. Segment(L, R_{10}) → p_{16}
  431. Intersect(n_6, b_7) → S_{10}
  432. Intersect(q_8, d_9) → T_{10}
  433. Point(l_{16}) → U_{10}
  434. Intersect(d_9, e_{16}) → V_{10}
  435. Angle(U_{10}, T_{10}, V_{10}) → β
  436. Rotate(U_{10}, 45*°, T_{10}) → W_{10}
  437. Angle(U_{10}, T_{10}, W_{10}) → γ
  438. Intersect(q, r) → Z_{10}
  439. Intersect(r_1, s_1) → A_{11}
  440. Segment(Z_{10}, A_{11}) → q_{16}
  441. Intersect(d_2, e_2) → B_{11}
  442. Segment(A_{11}, B_{11}) → r_{16}
  443. Intersect(h_6, i_6) → C_{11}
  444. Segment(B_{11}, C_{11}) → s_{16}
  445. Intersect(p_6, q_6) → D_{11}
  446. Segment(C_{11}, D_{11}) → t_{16}
  447. Intersect(i_9, j_9) → E_{11}
  448. Segment(D_{11}, E_{11}) → a_{17}
  449. Intersect(n_9, p_9) → F_{11}
  450. Segment(E_{11}, F_{11}) → b_{17}
  451. Intersect(h_{12}, i_{12}) → G_{11}
  452. Segment(F_{11}, G_{11}) → c_{17}
  453. Intersect(r, t) → H_{11}
  454. Segment(Z_{10}, H_{11}) → d_{17}
  455. Intersect(m_{12}, n_{12}) → I_{11}
  456. Segment(G_{11}, I_{11}) → e_{17}
  457. Intersect(h_{15}, i_{15}) → J_{11}
  458. Segment(I_{11}, J_{11}) → f_{17}
  459. Intersect(l_{15}, m_{15}) → K_{11}
  460. Segment(J_{11}, K_{11}) → g_{17}
  461. Intersect(k_{15}, l_{15}) → L_{11}
  462. Segment(K_{11}, L_{11}) → h_{17}
  463. Intersect(r_{15}, s_{15}) → M_{11}
  464. Intersect(q_{15}, r_{15}) → N_{11}
  465. Segment(M_{11}, N_{11}) → i_{17}
  466. Intersect(b_{13}, c_{13}) → O_{11}
  467. Segment(N_{11}, O_{11}) → j_{17}
  468. Intersect(r_{12}, s_{12}) → P_{11}
  469. Segment(O_{11}, P_{11}) → k_{17}
  470. Intersect(c_{10}, d_{10}) → Q_{11}
  471. Segment(P_{11}, Q_{11}) → l_{17}
  472. Intersect(s_9, t_9) → R_{11}
  473. Segment(Q_{11}, R_{11}) → m_{17}
  474. Intersect(d_7, e_7) → S_{11}
  475. Segment(R_{11}, S_{11}) → n_{17}
  476. Intersect(t_6, a_7) → T_{11}
  477. Segment(S_{11}, T_{11}) → p_{17}
  478. Intersect(e_4, f_4) → U_{11}
  479. Segment(T_{11}, U_{11}) → q_{17}
  480. Intersect(h_2, i_2) → V_{11}
  481. Segment(U_{11}, V_{11}) → r_{17}
  482. Intersect(i_1, j_1) → W_{11}
  483. Segment(V_{11}, W_{11}) → s_{17}
  484. Intersect(c_1, d_1) → Z_{11}
  485. Segment(W_{11}, Z_{11}) → t_{17}
  486. Intersect(s, d_1) → A_{12}
  487. Segment(Z_{11}, A_{12}) → a_{18}
  488. Intersect(f_1, k_1) → B_{12}
  489. Intersect(k_1, l_1) → C_{12}
  490. Segment(B_{12}, C_{12}) → b_{18}
  491. Intersect(l_2, m_2) → D_{12}
  492. Segment(C_{12}, D_{12}) → c_{18}
  493. Intersect(h_4, i_4) → E_{12}
  494. Segment(D_{12}, E_{12}) → d_{18}
  495. Intersect(s_4, t_4) → F_{12}
  496. Segment(E_{12}, F_{12}) → e_{18}
  497. Intersect(h_7, i_7) → G_{12}
  498. Segment(F_{12}, G_{12}) → f_{18}
  499. Intersect(l_7, m_7) → H_{12}
  500. Segment(G_{12}, H_{12}) → g_{18}
  501. Intersect(f_{10}, g_{10}) → I_{12}
  502. Segment(I_{12}, H_{12}) → h_{18}
  503. Intersect(p_{10}, q_{10}) → J_{12}
  504. Segment(J_{12}, I_{12}) → i_{18}
  505. Intersect(f_{13}, g_{13}) → K_{12}
  506. Segment(J_{12}, K_{12}) → j_{18}
  507. Intersect(g_{13}, h_{13}) → L_{12}
  508. Segment(K_{12}, L_{12}) → k_{18}
  509. Intersect(p_2, q_2) → M_{12}
  510. Intersect(q_2, r_2) → N_{12}
  511. Segment(M_{12}, N_{12}) → l_{18}
  512. Intersect(a_3, b_3) → O_{12}
  513. Segment(N_{12}, O_{12}) → m_{18}
  514. Intersect(m_4, n_4) → P_{12}
  515. Segment(O_{12}, P_{12}) → n_{18}
  516. Intersect(b_5, c_5) → Q_{12}
  517. Segment(P_{12}, Q_{12}) → p_{18}
  518. Intersect(q_7, r_7) → R_{12}
  519. Segment(Q_{12}, R_{12}) → q_{18}
  520. Intersect(a_8, b_8) → S_{12}
  521. Segment(S_{12}, R_{12}) → r_{18}
  522. Intersect(k_{10}, l_{10}) → T_{12}
  523. Segment(T_{12}, S_{12}) → s_{18}
  524. Intersect(j_{10}, k_{10}) → U_{12}
  525. Segment(U_{12}, T_{12}) → t_{18}
  526. Intersect(d_3, e_3) → V_{12}
  527. Intersect(e_3, f_3) → W_{12}
  528. Segment(V_{12}, W_{12}) → a_{19}
  529. Intersect(h_3, i_3) → Z_{12}
  530. Segment(W_{12}, Z_{12}) → b_{19}
  531. Intersect(g_5, h_5) → A_{13}
  532. Segment(Z_{12}, A_{13}) → c_{19}
  533. Intersect(j_5, k_5) → B_{13}
  534. Segment(A_{13}, B_{13}) → d_{19}
  535. Intersect(e_8, f_8) → C_{13}
  536. Segment(B_{13}, C_{13}) → e_{19}
  537. Intersect(f_8, g_8) → D_{13}
  538. Segment(C_{13}, D_{13}) → f_{19}
  539. Intersect(l_3, h_{16}) → E_{13}
  540. Intersect(k_3, l_3) → F_{13}
  541. Segment(E_{13}, F_{13}) → g_{19}
  542. Intersect(r_3, s_3) → G_{13}
  543. Segment(F_{13}, G_{13}) → h_{19}
  544. Intersect(n_5, p_5) → H_{13}
  545. Segment(G_{13}, H_{13}) → i_{19}
  546. Intersect(p_5, q_5) → I_{13}
  547. Segment(H_{13}, I_{13}) → j_{19}
  548. Point(h_{16}) → J_{13}
  549. Intersect(b_4, c_4) → K_{13}
  550. Segment(J_{13}, K_{13}) → k_{19}
  551. Intersect(q_3, c_4) → L_{13}
  552. Segment(K_{13}, L_{13}) → l_{19}
  553. Intersect(q_1, t_1) → M_{13}
  554. Point(t_1) → N_{13}
  555. Segment(M_{13}, N_{13}) → m_{19}
  556. Intersect(c_6, d_6) → O_{13}
  557. Segment(N_{13}, O_{13}) → n_{19}
  558. Intersect(l_6, m_6) → P_{13}
  559. Segment(O_{13}, P_{13}) → p_{19}
  560. Intersect(b_9, c_9) → Q_{13}
  561. Segment(P_{13}, Q_{13}) → q_{19}
  562. Intersect(f_9, g_9) → R_{13}
  563. Segment(Q_{13}, R_{13}) → r_{19}
  564. Intersect(a_{12}, b_{12}) → S_{13}
  565. Segment(S_{13}, R_{13}) → s_{19}
  566. Intersect(e_{12}, f_{12}) → T_{13}
  567. Segment(T_{13}, S_{13}) → t_{19}
  568. Intersect(t_{14}, a_{15}) → U_{13}
  569. Segment(U_{13}, T_{13}) → a_{20}
  570. Intersect(d_{15}, e_{15}) → V_{13}
  571. Segment(V_{13}, U_{13}) → b_{20}
  572. Intersect(c_{15}, d_{15}) → W_{13}
  573. Segment(W_{13}, V_{13}) → c_{20}
  574. Intersect(t_5, a_6) → Z_{13}
  575. Intersect(s_5, t_5) → A_{14}
  576. Segment(Z_{13}, A_{14}) → d_{20}
  577. Intersect(m_8, n_8) → B_{14}
  578. Segment(A_{14}, B_{14}) → e_{20}
  579. Intersect(r_8, s_8) → C_{14}
  580. Segment(B_{14}, C_{14}) → f_{20}
  581. Intersect(l_{11}, m_{11}) → D_{14}
  582. Segment(C_{14}, D_{14}) → g_{20}
  583. Intersect(q_{11}, r_{11}) → E_{14}
  584. Segment(D_{14}, E_{14}) → h_{20}
  585. Intersect(k_{14}, l_{14}) → F_{14}
  586. Segment(E_{14}, F_{14}) → i_{20}
  587. Intersect(p_{14}, q_{14}) → G_{14}
  588. Segment(F_{14}, G_{14}) → j_{20}
  589. Intersect(n_{14}, p_{14}) → H_{14}
  590. Segment(G_{14}, H_{14}) → k_{20}
  591. Intersect(j_8, k_8) → I_{14}
  592. Intersect(i_8, j_8) → J_{14}
  593. Segment(I_{14}, J_{14}) → l_{20}
  594. Intersect(d_{11}, e_{11}) → K_{14}
  595. Segment(J_{14}, K_{14}) → m_{20}
  596. Intersect(h_{11}, i_{11}) → L_{14}
  597. Segment(K_{14}, L_{14}) → n_{20}
  598. Intersect(b_{14}, c_{14}) → M_{14}
  599. Segment(L_{14}, M_{14}) → p_{20}
  600. Point(h_{14}) → N_{14}
  601. Segment(M_{14}, N_{14}) → q_{20}
  602. Intersect(f_{14}, g_{14}) → O_{14}
  603. Segment(O_{14}, N_{14}) → r_{20}
  604. Intersect(a_{11}, b_{11}) → P_{14}
  605. Intersect(t_{10}, a_{11}) → Q_{14}
  606. Segment(P_{14}, Q_{14}) → s_{20}
  607. Intersect(k_{13}, l_{13}) → R_{14}
  608. Segment(Q_{14}, R_{14}) → t_{20}
  609. Intersect(s_{13}, t_{13}) → S_{14}
  610. Segment(R_{14}, S_{14}) → a_{21}
  611. Intersect(r_{13}, s_{13}) → T_{14}
  612. Segment(S_{14}, T_{14}) → b_{21}
  613. Point(g_{16}) → U_{14}
  614. Segment(U_{14}, V_{14}) → c_{21}
  615. Point(t_{15}) → W_{14}
  616. Segment(W_{14}, V_{14}) → d_{21}
  617. Point(h_{16}) → Z_{14}
  618. Segment(Z_{14}, A_{15}) → e_{21}
  619. Point(a_{16}) → B_{15}
  620. Segment(A_{15}, B_{15}) → f_{21}

AI 绘图提示语参考

画一个由多个旋转和几何构造组成的平铺图案,展示如何通过旋转和正交线段构建图案。首先绘制一条线段,然后分别从两端绘制垂直线,再从交点继续绘制垂直线,形成一系列交点。接着从这些交点出发,绘制更多的垂直线,形成复杂的几何图案。最后,连接部分点形成封闭图形,并旋转部分图形45度,展示平铺效果。
以上提示语为根据原始绘图命令整理而来,仅供参考。