11点和13点星形

11点和13点星形
几何画板及绘图内容加载中,请稍等……
2019-12-31 20:38
①本范例演示了如何构造11点和13点的星形图案,这些图案常见于伊斯兰几何装饰中。②涉及的核心数学概念包括多边形构造、旋转、对称以及角度计算。③作图要点提炼自构造摘要,使用了Point(点)、Rotate(旋转)、Polygon(多边形)、LineBisector(角平分线)、Distance(距离)、Ray(射线)、Intersect(交点)、Segment(线段)、Mirror(镜像)、Vector(向量)、Translate(平移)、Centroid(重心)、Line(直线)、Sequence(序列)、Midpoint(中点)、OrthogonalLine(垂线)、Circle(圆)等GeoGebra命令和对象。④适合高中阶段学生学习几何作图,也可用于艺术与数学结合的教学。

GeoGebra 命令及参数

  1. ConstructionStep() → stap
  2. Point(xAxis) → A
  3. Rotate(A, (360°) / 13) → A'
  4. Polygon(A, A', 13) → veelhoek1, f, p, q, j_1, k_1, B, C, D, E, F, G, g, H, I, J, C_1, D_1, h, i, j, k, l, m, n
  5. Point(xAxis) → K
  6. Rotate(L, (360°) / 13, K) → L'
  7. Polygon(L, L', 13) → veelhoek2, r, g_1, h_1, l_1, m_1, M, N, P, Q, R, S, s, T, U, V, E_1, F_1, t, a, b, c, d, e, f_1
  8. LineBisector(O, K) → vert
  9. Point(vert) → W
  10. Distance(A, A') → l11
  11. Rotate(A_1, rest7, Z) → B_1
  12. Ray(Z, B_1) → n_1
  13. Intersect(vert, n_1) → MM
  14. Polygon(Z, A_1, 11) → veelhoek3, p_1, e_1, f_2, G_1, H_1, I_1, J_1, K_1, L_1, M_1, N_1, q_1, O_1, r_1, s_1, t_1, a_1, b_1, c_1, d_1
  15. Rotate(A, ((-(360°))) / 26) → A'_1
  16. Rotate(A'_1, (-4 * (360°) / 13)) → P_1
  17. Segment(O, P_1) → g_2
  18. Rotate(W, ((-(360°))) / 11, MM) → W'
  19. Segment(MM, W') → h_2
  20. Mirror(veelhoek3, xAxis) → veelhoek3'
  21. Vector(Q_1, R_1) → u
  22. Translate(veelhoek2, u) → veelhoek2'
  23. Centroid(veelhoek2') → LO
  24. Mirror(veelhoek2', x = 4) → veelhoek2''
  25. Mirror(LO, x = 4) → RO
  26. Vector(S_1, T_1) → v
  27. Translate(veelhoek3, v) → veelhoek3'_1
  28. Centroid(veelhoek3'_1) → U_1
  29. Centroid(veelhoek3') → V_1
  30. Centroid(veelhoek2) → W_1
  31. Mirror(veelhoek3'_1, xAxis) → veelhoek4
  32. Centroid(veelhoek4) → Z_1
  33. Mirror(veelhoek4, x = 4) → veelhoek4'
  34. Centroid(veelhoek4') → A_2
  35. Mirror(veelhoek3'_1, x = 4) → veelhoek5
  36. Centroid(veelhoek5) → B_2
  37. Mirror(veelhoek2', xAxis) → veelhoek2''_1
  38. Centroid(veelhoek2''_1) → C_2
  39. Mirror(veelhoek2'', xAxis) → veelhoek2'''
  40. Centroid(veelhoek2''') → D_2
  41. Line(C_2, D_2) → i_1
  42. Line(LO, RO) → i_2
  43. Line(Z_1, U_1) → j_2
  44. Line(A_2, B_2) → k_2
  45. Intersect(i_1, j_2) → E_2
  46. Intersect(i_1, k_2) → F_2
  47. Intersect(i_2, k_2) → G_2
  48. Intersect(i_2, j_2) → H_2
  49. Polygon(E_2, H_2, G_2, F_2) → vierhoek1, e_2, l_2, m_2, n_2
  50. Sequence(Segment[Rotate[O, (nn * (360°) / 13)], Rotate[A, (nn * (360°) / 13)]], nn, 1, 13) → l1
  51. Midpoint(A, D_1) → I_2
  52. Sequence(Segment[Rotate[O, (nn * (360°) / 13)], Rotate[I_2, (nn * (360°) / 13)]], nn, 1, 13) → l2
  53. Mirror(l1, x = 4) → l1'
  54. Mirror(l2, x = 4) → l2'
  55. Translate(l1, Vector[O, RO]) → l1'_1
  56. Translate(l2, Vector[O, RO]) → l2'_1
  57. Translate(l1', Vector[W_1, LO]) → l1''
  58. Translate(l2', Vector[W_1, LO]) → l2''
  59. Translate(l1, Vector[O, D_2]) → l1'_2
  60. Translate(l2, Vector[O, D_2]) → l2'_2
  61. Translate(l1', Vector[W_1, C_2]) → l1''_1
  62. Translate(l2', Vector[W_1, C_2]) → l2''_1
  63. Sequence(Segment[Rotate[MM, (nn * (360°) / 11), MM], Rotate[K_1, (nn * (360°) / 11), MM]], nn, 1, 11) → l3
  64. Sequence(Segment[Rotate[MM, (nn * (360°) / 11), MM], Rotate[W, (nn * (360°) / 11), MM]], nn, 1, 11) → l4
  65. Translate(l3, Vector[MM, U_1]) → l3'
  66. Translate(l4, Vector[MM, U_1]) → l4'
  67. Translate(l4, Vector[MM, B_2]) → l4'_1
  68. Translate(l3, Vector[MM, B_2]) → l3'_1
  69. Mirror(l3, Line[C_2, O]) → l3'_2
  70. Mirror(l4, Line[C_2, O]) → l4'_2
  71. Mirror(l4, Line[D_2, W_1]) → l4'_3
  72. Mirror(l3, Line[D_2, W_1]) → l3'_3
  73. Mirror(l3, Line[O, W_1]) → l3'_4
  74. Mirror(l4, Line[O, W_1]) → l4'_4
  75. Translate(A, Vector[O, D_2]) → A'_2
  76. Rotate(A'_2, (360°) / 26, D_2) → J_2
  77. Rotate(K_1, ((-(360°))) / 22, MM) → K_2
  78. Ray(MM, K_2) → p_2
  79. Ray(D_2, J_2) → q_2
  80. Intersect(p_2, q_2) → L_2
  81. Intersect(vert, n_2) → M_2
  82. Mirror(L_2, vert) → N_2
  83. Rotate(H_1, h11 / 2, MM) → O_2
  84. Ray(MM, O_2) → r_2
  85. Translate(B, Vector[O, D_2]) → B'
  86. Rotate(B', (360°) / 26, D_2) → B''
  87. Ray(D_2, B'') → s_2
  88. Rotate(B', (3 * (360°) / 26), D_2) → B''_1
  89. Ray(D_2, B''_1) → b_2
  90. Rotate(M_1, (360°) / 22, MM) → Q_2
  91. Rotate(D, h11 / 2, V_1) → D'
  92. Translate(D', Vector[V_1, A_2]) → D''
  93. Ray(A_2, D'') → c_2
  94. Intersect(b_2, c_2) → R_2
  95. Segment(D_2, R_2) → d_2
  96. Segment(A_2, R_2) → f_3
  97. Rotate(H_1, ((-(360°))) / 22, MM) → S_2
  98. Ray(MM, S_2) → g_3
  99. Rotate(N, (360°) / 26, W_1) → N'
  100. Ray(K, N') → h_3
  101. Intersect(g_3, h_3) → T_2
  102. Segment(MM, T_2) → i_3
  103. Segment(K, T_2) → j_3
  104. Rotate(N, ((-(360°))) / 26, W_1) → N'_1
  105. Ray(K, N'_1) → k_3
  106. Segment(K, D_2) → l_3
  107. Mirror(T_2, l_3) → U_2
  108. Ray(MM, H_1) → m_3
  109. Intersect(l_3, m_3) → I_3
  110. Rotate(H_2, ((-(360°))) / 13, LO) → P_2
  111. Ray(LO, P_2) → t_2
  112. Rotate(H_2, (-2 * (360°) / 13), LO) → Z_2
  113. Point(l2'') → A_3
  114. Segment(U_1, W_2) → n_3
  115. Segment(W_2, LO) → q_3
  116. Segment(W_2, A_3) → s_3
  117. OrthogonalLine(A_3, s_3) → t_3
  118. Point(l2'') → B_3
  119. Circle(W_2, B_3) → c_3
  120. Point(e_2) → C_3
  121. Intersect(c_3, n_3, 1) → D_3
  122. Intersect(c_3, q_3, 1) → E_3
  123. OrthogonalLine(D_3, n_3) → p_3
  124. OrthogonalLine(E_3, q_3) → r_3
  125. Point(c_3) → F_3
  126. Rotate(W_2, (360°) / 13, LO) → V_2
  127. Segment(W_2, V_2) → a_2
  128. Intersect(c_3, a_2, 1) → G_3
  129. Ray(A_3, G_3) → a_3
  130. Intersect(e_2, a_3) → H_3
  131. Ray(W_2, F_3) → b_3
  132. OrthogonalLine(F_3, b_3) → d_3
  133. Intersect(p_3, d_3) → K_3
  134. Intersect(e_2, p_3) → L_3
  135. Intersect(r_3, a_3) → M_3
  136. Rotate(M_3, ((-(360°))) / 13, LO) → N_3
  137. Polygon(H_3, M_3, N_3, K_3, L_3) → veelhoek6, e_3, f_4, g_4, h_4, i_4
  138. Polygon(L_3, K_3, 11) → veelhoek7, j_4, t_4, a_4, O_3, P_3, Q_3, R_3, S_3, T_3, U_3, V_3, k_4, W_3, l_4, m_4, n_4, p_4, q_4, r_4, s_4
  139. Polygon(N_3, M_3, 13) → veelhoek8, b_4, k_5, l_5, m_5, n_5, Z_3, A_4, B_4, C_4, D_4, E_4, c_4, F_4, G_4, H_4, I_4, J_4, d_4, e_4, f_5, g_5, h_5, i_5, j_5
  140. Rotate(W_2, ((-(360°))) / 13, LO) → K_4
  141. Circle(K_4, F_3) → c_5
  142. Line(U_1, O_3) → p_5
  143. Rotate(H_2, (-3 * (360°) / 13), LO) → L_4
  144. Line(A_3, L_4) → q_5
  145. Intersect(q_5, p_5) → M_4
  146. Rotate(M_3, (-2 * (360°) / 13), LO) → N_4
  147. Polygon(N_3, N_4, M_4, O_3, K_3) → veelhoek9, r_5, s_5, t_5, o_3, a_5
  148. Polygon(H_2, Z_3, M_3, H_3) → vierhoek2, b_5, z_3, d_5, e_5
  149. Segment(A_3, O) → f_6
  150. Mirror(H_3, f_6) → O_4
  151. Mirror(K_3, f_6) → R_4
  152. Mirror(L_3, f_6) → S_4
  153. Mirror(M_4, f_6) → V_4
  154. Mirror(O_3, f_6) → W_4
  155. Mirror(K_3, f_6) → Z_4
  156. Midpoint(O, A_3) → A_5
  157. Polygon(N_4, I_4, V_4, A_5, M_4) → veelhoek10, g_6, h_6, v_4, i_6, j_6
  158. Polygon(I_4, H_4, R_4, W_4, V_4) → veelhoek11, k_6, l_6, m_6, w_4, n_6
  159. Polygon(G_4, O_4, S_4, R_4, H_4) → veelhoek12, p_6, o_4, q_6, r_6, s_6
  160. Midpoint(H_2, G_2) → P_4
  161. Mirror(O_4, l_2) → Q_4
  162. Polygon(G_4, F_4, Q_4, P_4, O_4) → veelhoek13, t_6, a_6, b_6, c_6, d_6
  163. Mirror(M_4, Line[U_1, A_5]) → T_4
  164. Polygon(O_3, M_4, A_5, T_4, P_3) → veelhoek14, e_6, f_7, g_7, h_7, i_7
  165. Polygon(W_4, R_4, 11) → veelhoek15, j_7, t_7, a_7, U_4, B_5, C_5, D_5, E_5, F_5, G_5, H_5, k_7, I_5, l_7, m_7, n_7, p_7, q_7, r_7, s_7
  166. Mirror(V_4, Line[V_1, A_5]) → J_5
  167. Polygon(A_5, V_4, W_4, I_5, J_5) → veelhoek16, b_7, c_7, d_7, e_7, f_8
  168. Mirror(veelhoek8, x = 4) → veelhoek8'
  169. Mirror(G_4, x = 4) → K_5
  170. Mirror(F_4, x = 4) → L_5
  171. Mirror(Q_4, x = 4) → M_5
  172. Mirror(P_4, x = 4) → N_5
  173. Mirror(O_4, x = 4) → O_5
  174. Polygon(K_5, L_5, M_5, N_5, O_5) → veelhoek13', g_8, h_8, i_8, j_8, o_5
  175. Polygon(B_5, S_4, O_4, N_5, O_5) → veelhoek17, k_8, l_8, m_8, n_8, p_8
  176. Mirror(G_4, x = 4) → P_5
  177. Mirror(O_4, x = 4) → Q_5
  178. Mirror(S_4, x = 4) → R_5
  179. Mirror(R_4, x = 4) → S_5
  180. Mirror(H_4, x = 4) → T_5
  181. Mirror(I_4, x = 4) → U_5
  182. Mirror(H_4, x = 4) → V_5
  183. Mirror(R_4, x = 4) → W_5
  184. Mirror(W_4, x = 4) → Z_5
  185. Mirror(V_4, x = 4) → A_6
  186. Polygon(K_5, T_5, C_5, B_5, O_5) → veelhoek18, q_8, r_8, s_8, t_8, a_8
  187. Polygon(C_5, T_5, U_5, A_6, D_5) → veelhoek19, b_8, c_8, u_5, d_8, e_8
  188. Mirror(A_5, x = 4) → B_6
  189. Mirror(V_4, x = 4) → C_6
  190. Mirror(W_4, x = 4) → D_6
  191. Mirror(I_5, x = 4) → E_6
  192. Mirror(J_5, x = 4) → F_6
  193. Polygon(D_5, A_6, B_6, F_6, E_5) → veelhoek20, f_9, g_9, h_9, i_9, j_9
  194. Mirror(N_4, x = 4) → G_6
  195. Mirror(I_4, x = 4) → H_6
  196. Mirror(V_4, x = 4) → I_6
  197. Mirror(A_5, x = 4) → J_6
  198. Mirror(M_4, x = 4) → K_6
  199. Polygon(G_6, H_6, I_6, J_6, K_6) → veelhoek10', k_9, l_9, m_9, n_9, p_9
  200. Mirror(O_3, x = 4) → L_6
  201. Mirror(K_3, x = 4) → M_6
  202. Mirror(N_3, x = 4) → O_6
  203. Polygon(G_6, O_6, M_6, L_6, K_6) → veelhoek21, q_9, o_6, r_9, s_9, t_9
  204. Mirror(N_3, x = 4) → N_6
  205. Polygon(L_6, M_6, 11) → veelhoek22, a_9, j_{10}, k_{10}, P_6, Q_6, R_6, S_6, T_6, U_6, V_6, W_6, b_9, Z_6, c_9, d_9, e_9, f_{10}, g_{10}, h_{10}, i_{10}
  206. Mirror(H_3, x = 4) → A_7
  207. Mirror(M_3, x = 4) → B_7
  208. Polygon(N_6, B_7, A_7, P_6, M_6) → veelhoek23, l_{10}, m_{10}, n_{10}, p_{10}, q_{10}
  209. Mirror(Z_3, x = 4) → C_7
  210. Polygon(C_7, G_2, A_7, B_7) → vierhoek3, r_{10}, s_{10}, t_{10}, a_{10}
  211. Circle(O, Distance[LO, G_4]) → c_{10}
  212. Rotate(C, ((-(360°))) / 26) → C'
  213. Ray(O, C') → b_{10}
  214. Intersect(c_{10}, b_{10}, 1) → D_7
  215. Rotate(D_7, (360°) / 13) → E_7
  216. Polygon(D_7, E_7, 13) → veelhoek24, d_{10}, m_{11}, n_{11}, p_{11}, q_{11}, F_7, G_7, H_7, I_7, J_7, K_7, e_{10}, L_7, M_7, N_7, O_7, P_7, f_{11}, g_{11}, h_{11}, i_{11}, j_{11}, k_{11}, l_{11}
  217. Polygon(D_7, T_4, A_5, J_5, E_7) → veelhoek25, r_{11}, s_{11}, t_{11}, a_{11}, b_{11}
  218. Polygon(P_7, Q_3, P_3, T_4, D_7) → veelhoek26, c_{11}, d_{11}, e_{11}, f_{12}, g_{12}
  219. Rotate(L_3, (5 * (360°) / 11), U_1) → Q_7
  220. Ray(U_1, Q_7) → h_{12}
  221. Ray(O, O_7) → i_{12}
  222. Intersect(h_{12}, i_{12}) → R_7
  223. Polygon(Q_7, Q_3, P_7, O_7, R_7) → veelhoek27, j_{12}, k_{12}, l_{12}, o_7, m_{12}
  224. Polygon(J_5, I_5, H_5, F_7, E_7) → veelhoek28, n_{12}, p_{12}, q_{12}, r_{12}, s_{12}
  225. Ray(O, G_7) → t_{12}
  226. Ray(V_1, G_5) → a_{12}
  227. Point(vert) → T_7
  228. Polygon(H_5, G_5, T_7, G_7, F_7) → veelhoek29, b_{12}, c_{12}, d_{12}, e_{12}, f_{13}
  229. Mirror(veelhoek24, x = 4) → veelhoek24'
  230. Mirror(E_7, x = 4) → U_7
  231. Mirror(F_7, x = 4) → V_7
  232. Polygon(F_5, E_5, F_6, U_7, V_7) → veelhoek30, g_{13}, h_{13}, i_{13}, u_7, v_7
  233. Mirror(G_7, x = 4) → W_7
  234. Polygon(G_5, F_5, V_7, W_7, T_7) → veelhoek31, j_{13}, k_{13}, l_{13}, w_7, m_{13}
  235. Mirror(D_7, x = 4) → Z_7
  236. Mirror(T_4, x = 4) → A_8
  237. Mirror(A_5, x = 4) → B_8
  238. Polygon(Z_7, U_7, F_6, B_8, A_8) → veelhoek32, z_7, n_{13}, p_{13}, q_{13}, r_{13}
  239. Polygon(Z_6, A_8, B_8, K_6, L_6) → veelhoek33, z_6, s_{13}, t_{13}, a_{13}, b_{13}
  240. Mirror(P_7, x = 4) → C_8
  241. Polygon(C_8, Z_7, A_8, Z_6, W_6) → veelhoek34, c_{13}, d_{13}, e_{13}, f_{14}, w_6
  242. Mirror(veelhoek7, xAxis) → veelhoek7'
  243. Mirror(R_7, x = 4) → D_8
  244. Mirror(O_7, x = 4) → E_8
  245. Polygon(E_8, C_8, W_6, V_6, D_8) → veelhoek35, g_{14}, h_{14}, i_{14}, v_6, j_{14}
  246. Intersect(e_2, xAxis) → F_8
  247. Intersect(m_2, xAxis) → G_8
  248. Midpoint(S_3, Q_7) → H_8
  249. Polygon(H_8, Q_7, R_7, F_8) → vierhoek4, k_{14}, l_{14}, m_{14}, n_{14}
  250. Mirror(R_7, xAxis) → I_8
  251. Polygon(I_8, F_8, R_7, O_7, N_7) → veelhoek36, p_{14}, q_{14}, r_{14}, s_{14}, t_{14}
  252. Mirror(I_8, x = 4) → J_8
  253. Mirror(H_8, x = 4) → K_8
  254. Polygon(V_6, K_8, G_8, D_8) → vierhoek5, a_{14}, b_{14}, c_{14}, d_{14}
  255. Mirror(N_7, x = 4) → L_8
  256. Polygon(L_8, E_8, D_8, G_8, J_8) → veelhoek37, e_{14}, f_{15}, g_{15}, h_{15}, i_{15}
  257. Mirror(Q_7, xAxis) → M_8
  258. Mirror(Q_3, xAxis) → N_8
  259. Mirror(P_7, xAxis) → O_8
  260. Mirror(O_7, xAxis) → P_8
  261. Mirror(R_7, xAxis) → Q_8
  262. Polygon(M_8, N_8, O_8, P_8, Q_8) → veelhoek27', j_{15}, k_{15}, o_8, l_{15}, m_{15}
  263. Mirror(H_8, xAxis) → R_8
  264. Mirror(Q_7, xAxis) → S_8
  265. Mirror(R_7, xAxis) → T_8
  266. Mirror(F_8, xAxis) → U_8
  267. Polygon(R_8, S_8, T_8, U_8) → vierhoek4', n_{15}, p_{15}, q_{15}, u_8
  268. Mirror(N_8, x = 4) → V_8
  269. Mirror(M_8, x = 4) → W_8
  270. Mirror(M_7, x = 4) → Z_8
  271. Polygon(L_8, J_8, W_8, V_8, Z_8) → veelhoek38, r_{15}, s_{15}, w_8, v_8, z_8
  272. Mirror(veelhoek22, xAxis) → veelhoek22'
  273. Mirror(R_8, x = 4) → A_9
  274. Polygon(A_9, W_8, J_8, G_8) → vierhoek6, t_{15}, a_{15}, b_{15}, c_{15}
  275. Mirror(P_3, xAxis) → B_9
  276. Mirror(O_3, xAxis) → C_9
  277. Mirror(K_3, xAxis) → E_9
  278. Mirror(L_3, xAxis) → D_9
  279. Mirror(T_4, xAxis) → F_9
  280. Polygon(F_9, B_9, N_8, M_7, L_7) → veelhoek39, d_{15}, e_{15}, f_{16}, g_{16}, h_{16}
  281. Mirror(A_5, xAxis) → G_9
  282. Mirror(J_5, xAxis) → H_9
  283. Polygon(G_9, F_9, L_7, K_7, H_9) → veelhoek40, i_{16}, j_{16}, k_{16}, l_{16}, m_{16}
  284. Mirror(I_5, xAxis) → I_9
  285. Mirror(H_5, xAxis) → J_9
  286. Polygon(J_9, I_9, H_9, K_7, J_7) → veelhoek41, n_{16}, p_{16}, q_{16}, r_{16}, s_{16}
  287. Mirror(G_5, xAxis) → K_9
  288. Mirror(T_7, xAxis) → L_9
  289. Polygon(J_7, I_7, L_9, K_9, J_9) → veelhoek42, t_{16}, a_{16}, b_{16}, c_{16}, d_{16}
  290. Mirror(I_7, x = 4) → M_9
  291. Mirror(H_7, x = 4) → N_9
  292. Polygon(N_9, H_7, G_7, T_7, W_7) → veelhoek43, e_{16}, f_{17}, g_{17}, h_{17}, i_{17}
  293. Polygon(L_9, I_7, H_7, N_9, M_9) → veelhoek44, j_{17}, k_{17}, l_{17}, m_{17}, n_{17}
  294. Mirror(G_5, xAxis) → O_9
  295. Mirror(F_5, xAxis) → P_9
  296. Mirror(V_7, xAxis) → Q_9
  297. Mirror(W_7, xAxis) → R_9
  298. Mirror(T_7, xAxis) → S_9
  299. Polygon(O_9, P_9, Q_9, R_9, S_9) → veelhoek31', o_9, p_{17}, q_{17}, r_{17}, s_{17}
  300. Mirror(F_5, xAxis) → T_9
  301. Mirror(E_5, xAxis) → U_9
  302. Mirror(F_6, xAxis) → V_9
  303. Mirror(U_7, xAxis) → W_9
  304. Mirror(V_7, xAxis) → Z_9
  305. Polygon(T_9, U_9, V_9, W_9, Z_9) → veelhoek30', t_{17}, u_9, v_9, w_9, z_9
  306. Mirror(Z_7, xAxis) → A_{10}
  307. Mirror(U_7, xAxis) → B_{10}
  308. Mirror(F_6, xAxis) → C_{10}
  309. Mirror(B_8, xAxis) → D_{10}
  310. Mirror(A_8, xAxis) → E_{10}
  311. Polygon(A_{10}, B_{10}, C_{10}, D_{10}, E_{10}) → veelhoek32', a_{17}, b_{17}, c_{17}, d_{17}, e_{17}
  312. Mirror(C_8, xAxis) → F_{10}
  313. Mirror(Z_7, xAxis) → G_{10}
  314. Mirror(A_8, xAxis) → H_{10}
  315. Mirror(Z_6, xAxis) → I_{10}
  316. Mirror(W_6, xAxis) → J_{10}
  317. Polygon(F_{10}, G_{10}, H_{10}, I_{10}, J_{10}) → veelhoek34', f_{18}, g_{18}, h_{18}, i_{18}, j_{18}
  318. Mirror(M_4, xAxis) → K_{10}
  319. Polygon(B_9, F_9, G_9, K_{10}, C_9) → veelhoek45, k_{18}, l_{18}, m_{18}, n_{18}, p_{18}
  320. Mirror(C_9, x = 4) → L_{10}
  321. Polygon(I_3, U_2, I_{10}, L_{10}, R_2) → veelhoek46, q_{18}, u_2, r_{18}, s_{18}, t_{18}
  322. Mirror(N_3, xAxis) → M_{10}
  323. Mirror(N_4, xAxis) → N_{10}
  324. Polygon(E_9, C_9, K_{10}, N_{10}, M_{10}) → veelhoek47, a_{18}, b_{18}, c_{18}, d_{18}, e_{18}
  325. Mirror(H_3, xAxis) → O_{10}
  326. Mirror(M_3, xAxis) → P_{10}
  327. Polygon(D_9, E_9, M_{10}, P_{10}, O_{10}) → veelhoek48, f_{19}, g_{19}, h_{19}, i_{19}, o_{10}
  328. Mirror(veelhoek15, xAxis) → veelhoek15'
  329. Mirror(V_4, xAxis) → Q_{10}
  330. Mirror(W_4, xAxis) → R_{10}
  331. Polygon(R_{10}, Q_{10}, G_9, H_9, I_9) → veelhoek49, j_{19}, k_{19}, l_{19}, m_{19}, n_{19}
  332. Mirror(I_4, xAxis) → S_{10}
  333. Polygon(S_{10}, N_{10}, K_{10}, G_9, Q_{10}) → veelhoek50, p_{19}, q_{19}, r_{19}, s_{19}, t_{19}
  334. Mirror(R_{10}, x = 4) → T_{10}
  335. Mirror(Q_{10}, x = 4) → U_{10}
  336. Polygon(T_{10}, U_9, T_2, I_3, U_{10}) → veelhoek51, a_{19}, b_{19}, c_{19}, d_{19}, u_{10}
  337. Mirror(L_1, x = 4) → V_{10}
  338. Mirror(S_{10}, x = 4) → W_{10}
  339. Mirror(N_{10}, x = 4) → Z_{10}
  340. Polygon(Z_{10}, W_{10}, U_{10}, I_3, R_2) → veelhoek52, z_{10}, w_{10}, e_{19}, f_{20}, g_{20}
  341. Mirror(M_{10}, x = 4) → A_{11}
  342. Mirror(E_9, x = 4) → B_{11}
  343. Polygon(A_{11}, Z_{10}, R_2, L_{10}, B_{11}) → veelhoek53, h_{20}, i_{20}, j_{20}, k_{20}, l_{20}
  344. Mirror(P_{10}, x = 4) → C_{11}
  345. Mirror(O_{10}, x = 4) → D_{11}
  346. Mirror(D_9, x = 4) → E_{11}
  347. Polygon(E_{11}, D_{11}, C_{11}, A_{11}, B_{11}) → veelhoek54, m_{20}, n_{20}, p_{20}, q_{20}, r_{20}
  348. Mirror(veelhoek8, xAxis) → veelhoek8'_1
  349. Mirror(veelhoek8', xAxis) → veelhoek8''
  350. Mirror(C_7, xAxis) → F_{11}
  351. Polygon(F_2, F_{11}, C_{11}, D_{11}) → vierhoek7, s_{20}, t_{20}, a_{20}, b_{20}
  352. Mirror(F_{11}, x = 4) → G_{11}
  353. Polygon(E_2, O_{10}, P_{10}, G_{11}) → vierhoek8, c_{20}, d_{20}, e_{20}, f_{21}
  354. Mirror(G_4, xAxis) → H_{11}
  355. Mirror(H_4, xAxis) → I_{11}
  356. Mirror(R_4, xAxis) → J_{11}
  357. Polygon(I_{11}, S_{10}, Q_{10}, R_{10}, J_{11}) → veelhoek55, g_{21}, h_{21}, i_{21}, j_{21}, k_{21}
  358. Mirror(U_4, xAxis) → K_{11}
  359. Mirror(O_4, xAxis) → L_{11}
  360. Polygon(H_{11}, I_{11}, J_{11}, K_{11}, L_{11}) → veelhoek56, l_{21}, m_{21}, n_{21}, p_{21}, q_{21}
  361. Mirror(F_4, xAxis) → M_{11}
  362. Mirror(Q_4, xAxis) → N_{11}
  363. Polygon(M_{11}, H_{11}, L_{11}, M_2, N_{11}) → veelhoek57, r_{21}, s_{21}, t_{21}, a_{21}, b_{21}
  364. Mirror(B_5, xAxis) → O_{11}
  365. Polygon(K_{11}, O_{11}, L_2, M_2, L_{11}) → veelhoek58, c_{21}, o_{11}, d_{21}, e_{21}, f_{22}
  366. Mirror(C_5, xAxis) → P_{11}
  367. Mirror(T_5, xAxis) → Q_{11}
  368. Polygon(P_{11}, Q_{11}, W_{10}, U_{10}, T_{10}) → veelhoek59, g_{22}, h_{22}, i_{22}, j_{22}, k_{22}
  369. Mirror(K_5, xAxis) → R_{11}
  370. Polygon(O_{11}, P_{11}, Q_{11}, R_{11}, L_2) → veelhoek60, l_{22}, m_{22}, n_{22}, p_{22}, q_{22}
  371. Mirror(L_5, xAxis) → S_{11}
  372. Mirror(M_5, xAxis) → T_{11}
  373. Polygon(A'_2, M_2, L_2, R_{11}, S_{11}) → veelhoek61, a'_2, r_{22}, s_{22}, t_{22}, a_{22}
  374. Polygon(T_{11}, M_2, L_2, R_{11}, S_{11}) → veelhoek62, b_{22}, c_{22}, d_{22}, e_{22}, f_{23}
  375. Segment(Z_1, MM) → g_{23}
  376. Segment(MM, A_2) → h_{23}
  377. Segment(U_1, V_1) → i_{23}
  378. Segment(V_1, B_2) → j_{23}
  379. Segment(C_2, O) → k_{23}
  380. Segment(D_2, K) → l_{23}
  381. Segment(O, A_3) → m_{23}
  382. Segment(K, RO) → n_{23}
  383. Segment(O, K) → p_{23}
  384. Segment(MM, M_2) → q_{23}
  385. Segment(V_1, N_5) → r_{23}

AI 绘图提示语参考

该图形由一个11点星和一个13点星组成,两星通过中心点、线段和交点相连。构造时先旋转点生成星形顶点,绘制星形,再连接中心点,旋转射线并求交点,最后通过镜像对称形成完整图形。图形具有旋转对称性和几何美感,适合展示数学与艺术的结合。
以上提示语为根据原始绘图命令整理而来,仅供参考。