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开塞利双经学院几何图案构造

开塞利双经学院几何图案构造
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2020-07-31 21:59
圆多边形函数变换几何作图
所属专题 building muqarnas in GeoGebra
①本范例演示了如何利用GeoGebra的几何变换与构造命令，重现土耳其开塞利双经学院（Kayseri Cifte Madrasah）建筑装饰中的复杂几何图案，特别是钟乳石（muqarnas）风格的对称镶嵌结构。②核心数学概念包括旋转、缩放、多边形构造、集合运算（交集）、函数与单位圆的应用，以及通过迭代和条件判断生成重复的几何单元。③作图要点：从构造摘要可见，使用了Rotate（旋转）、Intersect（求交）、Polygon（多边形）、Dilate（缩放）、Segment（线段）、If（条件）等命令，并定义了多个对象如A、B、AB、BA及其旋转缩放变体，以及Square1、TRhombus2、TSquare1、TAlmond14等复合图形单元，通过组合这些基本元素形成对称的装饰图案。④适合高中及以上学段，用于几何变换、对称性、图案设计或数学与建筑艺术结合的跨学科教学，也可作为GeoGebra高级构造的练习案例。

GeoGebra 命令及参数

  1. Rotate(A, (-(90°)), B) → AB
  2. Rotate(B, 90°, A) → BA
  3. Rotate(B, 135°, A) → BAR
  4. Rotate(B, (-(135°)), A) → ABA
  5. Intersect(Ray[ABA, Rotate[A, 45°, ABA]], Ray[B, Rotate[A, (-(45°)), B]]) → ABAB
  6. Intersect(Ray[A, Rotate[B, 45°, A]], Ray[B, Rotate[A, (-(45°)), B]]) → ABH
  7. Intersect(Ray[A, Rotate[B, 67.5°, A]], Ray[B, Rotate[A, (-(67.5°)), B]]) → ABHR
  8. Intersect(Ray[B, Rotate[A, (-(22.5°)), B]], Ray[BA, Rotate[A, 22.5°, BA]]) → ABL
  9. Rotate(A, (-(45°)), B) → ABR
  10. Intersect(OrthogonalLine[BAR, Line[A, B]], OrthogonalLine[B, Line[A, BAR]]) → ABT
  11. Rotate(B, 135°, A) → BBA
  12. Intersect(Ray[B, Rotate[A, (-(67.5°)), B]], Ray[BBA, Rotate[A, 67.5°, BBA]]) → BAJ
  13. Intersect(OrthogonalLine[BAR, Line[A, BAR]], OrthogonalLine[B, Line[A, B]]) → BARB
  14. Intersect(OrthogonalLine[B, Line[A, B]], OrthogonalLine[BBA, Line[BBA, A]]) → BBAB
  15. Polygon(A, B, AB, BA) → Square1, a, b, ab, ba
  16. Dilate(A, 75, Centroid[Square1]) → A'
  17. Dilate(B, 75, Centroid[Square1]) → B'
  18. Dilate(AB, 75, Centroid[Square1]) → AB'
  19. Dilate(BA, 75, Centroid[Square1]) → BA'
  20. Polygon(Dilate[A, 0.75, Centroid[Square1]], Dilate[B, 0.75, Centroid[Square1]], Dilate[AB, 0.75, Centroid[Square1]], Dilate[BA, 0.75, Centroid[Square1]]) → Square1', f, g, i, j
  21. Segment(A, AB) → k
  22. Segment(B, AB) → l
  23. Segment(BA, AB) → m
  24. Segment(A, BA) → n
  25. Segment(A, B) → p
  26. Polygon(A, B, ABR, BAR) → Rhombus2, a_1, b_1, abr, bar
  27. Dilate(A, 0.75, Centroid[Rhombus2]) → A'_1
  28. Dilate(B, 0.75, Centroid[Rhombus2]) → B'_1
  29. Dilate(ABR, 0.75, Centroid[Rhombus2]) → ABR'
  30. Dilate(BAR, 0.75, Centroid[Rhombus2]) → BAR'
  31. Polygon(A'_1, B'_1, ABR', BAR') → Rhombus2', a'_1, b'_1, abr', bar'
  32. Segment(A, BAR) → r
  33. Segment(B, BAR) → s
  34. Segment(B, ABR) → t
  35. Segment(B, A) → c
  36. Polygon(A, B, BBAB, BBA) → Almond3, a_2, b_2, bbab, bba
  37. Dilate(A, 0.75, Centroid[Almond3]) → A'_2
  38. Dilate(B, 0.75, Centroid[Almond3]) → B'_2
  39. Dilate(BBAB, 0.75, Centroid[Almond3]) → BBAB'
  40. Dilate(BBA, 0.75, Centroid[Almond3]) → BBA'
  41. Polygon(A'_2, B'_2, BBAB', BBA') → Almond3', a'_2, b'_2, bbab', bba'
  42. Segment(A, BBAB) → d
  43. Segment(B, BBAB) → e
  44. Segment(BBA, BBAB) → f_1
  45. Polygon(A, B, ABT, BAR) → SmBiped9, a_3, b_3, abt, g_1
  46. Dilate(A, 0.75, Centroid[SmBiped9]) → A'_3
  47. Dilate(B, 0.75, Centroid[SmBiped9]) → B'_3
  48. Dilate(ABT, 0.75, Centroid[SmBiped9]) → ABT'
  49. Dilate(BAR, 0.75, Centroid[SmBiped9]) → BAR'_1
  50. Polygon(A'_3, B'_3, ABT', BAR'_1) → SmBiped9', a'_3, b'_3, abt', bar'_1
  51. Segment(A, B) → h_1
  52. Segment(A, BAR) → i_1
  53. Segment(A, ABT) → j_1
  54. Polygon(A, B, BAJ, BBA) → Jug4, a_4, b_4, baj, k_1
  55. Dilate(A, 0.75, Centroid[Jug4]) → A'_4
  56. Dilate(B, 0.75, Centroid[Jug4]) → B'_4
  57. Dilate(BAJ, 0.75, Centroid[Jug4]) → BAJ'
  58. Dilate(BBA, 0.75, Centroid[Jug4]) → BBA'_1
  59. Polygon(A'_4, B'_4, BAJ', BBA'_1) → Jug4', a'_4, b'_4, baj', bba'_1
  60. Segment(A, BAJ) → l_1
  61. Segment(BBA, BAJ) → m_1
  62. Segment(B, BAJ) → n_1
  63. Polygon(A, B, ABL, BA) → LBiped10, a_5, b_5, abl, p_1
  64. Dilate(A, 0.75, Centroid[LBiped10]) → A'_5
  65. Dilate(B, 0.75, Centroid[LBiped10]) → B'_5
  66. Dilate(ABL, 0.75, Centroid[LBiped10]) → ABL'
  67. Dilate(BA, 0.75, Centroid[LBiped10]) → BA'_1
  68. Polygon(A'_5, B'_5, ABL', BA'_1) → LBiped10', a'_5, b'_5, abl', ba'_1
  69. Segment(A, B) → q_1
  70. Segment(A, BA) → r_1
  71. Segment(A, ABL) → s_1
  72. Polygon(A, B, ABH) → HSquare5, abh, a_6, b_6
  73. Dilate(A, 0.75, Centroid[HSquare5]) → A'_6
  74. Dilate(B, 0.75, Centroid[HSquare5]) → B'_6
  75. Dilate(ABH, 0.75, Centroid[HSquare5]) → ABH'
  76. Polygon(A'_6, B'_6, ABH') → HSquare5', abh', a'_6, b'_6
  77. Segment(Midpoint[A, B], ABH) → t_1
  78. Segment(A, ABH) → c_1
  79. Segment(B, ABH) → d_1
  80. Polygon(A, B, BA) → HSquare11, e_1, a_7, b_7
  81. Dilate(A, 0.75, Centroid[HSquare11]) → A'_7
  82. Dilate(B, 0.75, Centroid[HSquare11]) → B'_7
  83. Dilate(BA, 0.75, Centroid[HSquare11]) → BA'_2
  84. Polygon(A'_7, B'_7, BA'_2) → HSquare11', ba'_2, a'_7, b'_7
  85. Segment(A, Midpoint[BA, B]) → f_2
  86. Segment(A, BA) → g_2
  87. Segment(A, B) → h_2
  88. Polygon(A, B, ABHR) → HRhombus6, abhr, a_8, b_8
  89. Dilate(A, 0.75, Centroid[HRhombus6]) → A'_8
  90. Dilate(B, 0.75, Centroid[HRhombus6]) → B'_8
  91. Dilate(ABHR, 0.75, Centroid[HRhombus6]) → ABHR'
  92. Polygon(A'_8, B'_8, ABHR') → HRhombus6', abhr', a'_8, b'_8
  93. Segment(Midpoint[A, B], ABHR) → i_2
  94. Segment(A, ABHR) → j_2
  95. Segment(B, ABHR) → k_2
  96. Polygon(A, B, BAR) → HRhombus12, l_2, a_9, b_9
  97. Dilate(A, 0.75, Centroid[HRhombus12]) → A'_9
  98. Dilate(B, 0.75, Centroid[HRhombus12]) → B'_9
  99. Dilate(BAR, 0.75, Centroid[HRhombus12]) → BAR'_2
  100. Polygon(A'_9, B'_9, BAR'_2) → HRhombus12', bar'_2, a'_9, b'_9
  101. Segment(A, Midpoint[BAR, B]) → m_2
  102. Segment(A, BAR) → n_2
  103. Segment(A, B) → p_2
  104. Polygon(ABA, A, B, ABAB) → SmBiped13, aba, a_{10}, b_{10}, abab
  105. Dilate(ABA, 0.75, Centroid[SmBiped13]) → ABA'
  106. Dilate(A, 0.75, Centroid[SmBiped13]) → A'_{10}
  107. Dilate(B, 0.75, Centroid[SmBiped13]) → B'_{10}
  108. Dilate(ABAB, 0.75, Centroid[SmBiped13]) → ABAB'
  109. Polygon(ABA', A'_{10}, B'_{10}, ABAB') → SmBiped13', aba', a'_{10}, b'_{10}, abab'
  110. Segment(ABA, ABAB) → q_2
  111. Segment(A, ABAB) → r_2
  112. Segment(B, ABAB) → s_2
  113. Polygon(A, B, BARB, BAR) → Almond14, a_{11}, b_{11}, barb, t_2
  114. Dilate(A, 0.75, Centroid[Almond14]) → A'_{11}
  115. Dilate(B, 0.75, Centroid[Almond14]) → B'_{11}
  116. Dilate(BARB, 0.75, Centroid[Almond14]) → BARB'
  117. Dilate(BAR, 0.75, Centroid[Almond14]) → BAR'_3
  118. Polygon(A'_{11}, B'_{11}, BARB', BAR'_3) → Almond14', a'_{11}, b'_{11}, barb', bar'_3
  119. Segment(A, B) → c_2
  120. Segment(A, BARB) → d_2
  121. Segment(A, BAR) → e_2
  122. If(toon_{max}, "3D only", "layer = " + toon_{lagen}) → toon_{lagen-tekst}
  123. Segment(BAR, ABR) → q
  124. Segment(A, ABR) → g_3
  125. Segment(A, B) → h_3
  126. Segment(A, BAR) → i_3
  127. Polygon(D, E, EE, DD) → achter1, d_3, e_3, ee, dd
  128. Polygon(C, CC, DD, D) → achter2, c_3, cc, j_3, d_4
  129. Polygon(EE, EC, DD) → Square1boven1, k_3, l_3, ec
  130. Polygon(CC, EC, DD) → Square1boven2, m_3, n_3, p_3
  131. Polygon(EE, ECA, DD) → Almond3boven1, q_3, r_3, eca
  132. Polygon(CC, ECA, DD) → Almond3boven2, s_3, t_3, f_4
  133. Polygon(EE, ECJ, DD) → Jug4boven1, g_4, h_4, ecj
  134. Polygon(CC, ECJ, DD) → Jug4boven2, i_4, j_4, k_4
  135. Polygon(CC, DD, CDHS) → HSquare5boven, cdhs, l_4, m_4
  136. Polygon(CC, DD, CDHR) → HRhombusboven, cdhr, n_4, p_4
  137. Polygon(EE, ECSB, DD) → SmBiped2boven1, q_4, r_4, ecsb
  138. Polygon(DD, ECSB, CC) → SmBiped2boven2, s_4, t_4, c_4
  139. Intersect(Line[C, Line[D, E]], Line[E, Line[D, C]]) → CE
  140. Polygon(DU, E, CE) → Square7boven1, ce, du, e_4
  141. Polygon(DU, CE, C) → Square7boven2, c_5, f_5, g_5
  142. Intersect(Line[C, Rotate[D, 45°, Line[C, C + (0, 0, 1)]]], Line[E, Rotate[D, (-(45°)), Line[E, E + (0, 0, 1)]]]) → CESB
  143. Polygon(DU, E, CESB) → SmBiped9boven1, cesb, h_5, e_5
  144. Polygon(DU, CESB, C) → SmBiped9boven2, c_6, i_5, j_5
  145. Intersect(Line[C, Rotate[D, 22.5°, Line[C, C + (0, 0, 1)]]], Line[E, Rotate[D, (-(22.5°)), Line[E, E + (0, 0, 1)]]]) → CELB
  146. Polygon(DU, E, CELB) → LBiped10boven1, celb, k_5, e_6
  147. Polygon(DU, CELB, C) → LBiped10boven2, c_7, l_5, m_5
  148. Intersect(Line[C, Rotate[D, 90°, Line[C, C + (0, 0, 1)]]], Line[E, Rotate[D, (-(90°)), Line[E, E + (0, 0, 1)]]]) → CEA
  149. Polygon(DU, E, CEA) → Almond14onder1, cea, p_5, e_8
  150. Polygon(DU, CEA, C) → Almond14onder2, c_9, q_5, r_5
  151. Left1(F) → G
  152. LeftSqrt2(G) → H
  153. Left1(H) → I
  154. TRhombus2(J, I) → K, L, h_6, vierhoek1, vierhoek2, n_5, s_5, t_5, d_5, f_6, g_6
  155. Up1(L) → M
  156. UpSqrt2(K) → N
  157. TRhombus2(M, L) → O, P, p_6, vierhoek3, vierhoek4, i_6, j_6, k_6, l_6, m_6, n_6
  158. TRhombus2(Q, P) → R, S, g_7, vierhoek5, vierhoek6, q_6, r_6, s_6, t_6, d_6, f_7
  159. Right1(S) → T
  160. TRhombus2(T, S) → U, V, n_7, vierhoek7, vierhoek8, h_7, i_7, j_7, k_7, l_7, m_7
  161. TRhombus2(W, V) → Z, A_1, e_7, vierhoek9, vierhoek10, p_7, q_7, r_7, s_7, t_7, d_7
  162. Right1(A_1) → B_1
  163. TRhombus2(B_1, A_1) → C_1, D_1, l_8, vierhoek11, vierhoek12, f_8, g_8, h_8, i_8, j_8, k_8
  164. TRhombus2(E_1, D_1) → F_1, G_1, t_8, vierhoek13, vierhoek14, m_8, n_8, p_8, q_8, r_8, s_8
  165. Down1(G_1) → H_1
  166. TRhombus2(H_1, G_1) → I_1, J_1, j_9, vierhoek15, vierhoek16, c_8, d_8, f_9, g_9, h_9, i_9
  167. TSquare1(L, K) → K_1, L_1, r_9, vierhoek17, vierhoek18, k_9, l_9, m_9, n_9, p_9, q_9
  168. TSquare1(P, N) → M_1, N_1, h_{10}, vierhoek19, vierhoek20, s_9, t_9, d_9, e_9, f_{10}, g_{10}
  169. TSquare1(S, R) → O_1, P_1, p_{10}, vierhoek21, vierhoek22, i_{10}, j_{10}, k_{10}, l_{10}, m_{10}, n_{10}
  170. TSquare1(A_1, Z) → Q_1, R_1, e_{10}, vierhoek23, vierhoek24, q_{10}, r_{10}, s_{10}, t_{10}, c_{10}, d_{10}
  171. TSquare1(D_1, C_1) → S_1, T_1, l_{11}, vierhoek25, vierhoek26, f_{11}, g_{11}, h_{11}, i_{11}, j_{11}, k_{11}
  172. TSquare1(G_1, F_1) → U_1, V_1, t_{11}, vierhoek27, vierhoek28, m_{11}, n_{11}, p_{11}, q_{11}, r_{11}, s_{11}
  173. TAlmond14(I_1, U_1) → W_1, Z_1, vierhoek29, vierhoek30, c_{11}, d_{11}, e_{11}, f_{12}, g_{12}, h_{12}
  174. TAlmond14(F_1, S_1) → A_2, B_2, vierhoek31, vierhoek32, i_{12}, j_{12}, k_{12}, l_{12}, m_{12}, n_{12}
  175. TAlmond14(C_1, Q_1) → C_2, D_2, vierhoek33, vierhoek34, p_{12}, q_{12}, r_{12}, s_{12}, t_{12}, a_{12}
  176. Down1(Z) → E_2
  177. TAlmond14(Z, E_2) → F_2, G_2, vierhoek35, vierhoek36, b_{12}, c_{12}, d_{12}, e_{12}, f_{13}, g_{13}
  178. TAlmond14(U, O_1) → H_2, I_2, vierhoek37, vierhoek38, h_{13}, i_{13}, j_{13}, k_{13}, l_{13}, m_{13}
  179. TAlmond14(R, M_1) → J_2, K_2, vierhoek39, vierhoek40, n_{13}, p_{13}, q_{13}, r_{13}, s_{13}, t_{13}
  180. TAlmond14(N, K_1) → L_2, M_2, vierhoek41, vierhoek42, a_{13}, b_{13}, c_{13}, d_{13}, e_{13}, f_{14}
  181. Right1(K) → N_2
  182. TAlmond14(K, N_2) → O_2, P_2, vierhoek43, vierhoek44, g_{14}, h_{14}, i_{14}, j_{14}, k_{14}, l_{14}
  183. TRhombus2(N_2, H) → Q_2, R_2, t_{14}, vierhoek45, vierhoek46, m_{14}, n_{14}, p_{14}, q_{14}, r_{14}, s_{14}
  184. TSmBiped13(P_2, N_2) → S_2, T_2, g_{15}, vierhoek47, vierhoek48, a_{14}, b_{14}, c_{14}, d_{14}, e_{14}, f_{15}
  185. TSmBiped13(M_2, K_1) → U_2, V_2, n_{15}, vierhoek49, vierhoek50, h_{15}, i_{15}, j_{15}, k_{15}, l_{15}, m_{15}
  186. TSmBiped13(K_2, M_1) → W_2, Z_2, b_{15}, vierhoek51, vierhoek52, p_{15}, q_{15}, r_{15}, s_{15}, t_{15}, a_{15}
  187. TSmBiped13(I_2, O_1) → A_3, B_3, i_{16}, vierhoek53, vierhoek54, c_{15}, d_{15}, e_{15}, f_{16}, g_{16}, h_{16}
  188. TSmBiped13(G_2, E_2) → C_3, D_3, q_{16}, vierhoek55, vierhoek56, j_{16}, k_{16}, l_{16}, m_{16}, n_{16}, p_{16}
  189. TSmBiped13(D_2, Q_1) → E_3, F_3, d_{16}, vierhoek57, vierhoek58, r_{16}, s_{16}, t_{16}, a_{16}, b_{16}, c_{16}
  190. TSmBiped13(B_2, S_1) → G_3, H_3, k_{17}, vierhoek59, vierhoek60, e_{16}, f_{17}, g_{17}, h_{17}, i_{17}, j_{17}
  191. TSmBiped13(Z_1, U_1) → I_3, J_3, s_{17}, vierhoek61, vierhoek62, l_{17}, m_{17}, n_{17}, p_{17}, q_{17}, r_{17}
  192. TRhombus2(W_1, D_3) → K_3, L_3, f_{18}, vierhoek63, vierhoek64, t_{17}, a_{17}, b_{17}, c_{17}, d_{17}, e_{17}
  193. TRhombus2(H_2, R_2) → M_3, N_3, m_{18}, vierhoek65, vierhoek66, g_{18}, h_{18}, i_{18}, j_{18}, k_{18}, l_{18}
  194. TRhombus2(E_2, N_3) → O_3, P_3, a_{18}, vierhoek67, vierhoek68, n_{18}, p_{18}, q_{18}, r_{18}, s_{18}, t_{18}
  195. TSquare1(R_2, Q_2) → Q_3, R_3, h_{19}, vierhoek69, vierhoek70, b_{18}, c_{18}, d_{18}, e_{18}, f_{19}, g_{19}
  196. TSquare1(N_3, M_3) → S_3, T_3, p_{19}, vierhoek71, vierhoek72, i_{19}, j_{19}, k_{19}, l_{19}, m_{19}, n_{19}
  197. TSquare1(D_3, O_3) → U_3, V_3, c_{19}, vierhoek73, vierhoek74, q_{19}, r_{19}, s_{19}, t_{19}, a_{19}, b_{19}
  198. TAlmond14(O_3, S_3) → W_3, Z_3, vierhoek75, vierhoek76, d_{19}, e_{19}, f_{20}, g_{20}, h_{20}, i_{20}
  199. TAlmond14(M_3, Q_3) → A_4, B_4, vierhoek77, vierhoek78, j_{20}, k_{20}, l_{20}, m_{20}, n_{20}, p_{20}
  200. TAlmond14(Q_2, G) → C_4, D_4, vierhoek79, vierhoek80, q_{20}, r_{20}, s_{20}, t_{20}, a_{20}, b_{20}
  201. TAlmond14(K_3, U_3) → E_4, F_4, vierhoek81, vierhoek82, c_{20}, d_{20}, e_{20}, f_{21}, g_{21}, h_{21}
  202. TSmBiped13(D_4, G) → G_4, H_4, p_{21}, vierhoek83, vierhoek84, i_{21}, j_{21}, k_{21}, l_{21}, m_{21}, n_{21}
  203. TSmBiped13(B_4, Q_3) → I_4, J_4, c_{21}, vierhoek85, vierhoek86, q_{21}, r_{21}, s_{21}, t_{21}, a_{21}, b_{21}
  204. TSmBiped13(Z_3, S_3) → K_4, L_4, j_{22}, vierhoek87, vierhoek88, d_{21}, e_{21}, f_{22}, g_{22}, h_{22}, i_{22}
  205. TSmBiped13(F_4, U_3) → M_4, N_4, r_{22}, vierhoek89, vierhoek90, k_{22}, l_{22}, m_{22}, n_{22}, p_{22}, q_{22}
  206. THSquare5(K, I) → O_4, driehoek1, driehoek2, s_{22}, t_{22}, a_{22}, b_{22}, c_{22}, d_{22}
  207. THSquare5(V, U) → P_4, driehoek3, driehoek4, e_{22}, f_{23}, g_{23}, h_{23}, i_{23}, j_{23}
  208. THSquare5(Z, V) → Q_4, driehoek5, driehoek6, k_{23}, l_{23}, m_{23}, n_{23}, p_{23}, q_{23}
  209. THSquare5(J_1, I_1) → R_4, driehoek7, driehoek8, r_{23}, s_{23}, t_{23}, a_{23}, b_{23}, c_{23}
  210. ERhombus2(J_1, H_1, G_1) → S_4, T_4, U_4, vierhoek91, vierhoek92, driehoek9, driehoek10
  211. ERhombus2(G_1, E_1, D_1) → V_4, W_4, Z_4, vierhoek93, vierhoek94, driehoek11, driehoek12
  212. ERhombus2(D_1, B_1, A_1) → A_5, B_5, C_5, vierhoek95, vierhoek96, driehoek13, driehoek14
  213. ERhombus2(A_1, W, V) → D_5, E_5, F_5, vierhoek97, vierhoek98, driehoek15, driehoek16
  214. ERhombus2(V, T, S) → G_5, H_5, I_5, vierhoek99, vierhoek100, driehoek17, driehoek18
  215. ERhombus2(S, Q, P) → J_5, K_5, L_5, vierhoek101, vierhoek102, driehoek19, driehoek20
  216. ERhombus2(P, M, L) → M_5, N_5, O_5, vierhoek103, vierhoek104, driehoek21, driehoek22
  217. ERhombus2(L, J, I) → P_5, Q_5, R_5, vierhoek105, vierhoek106, driehoek23, driehoek24
  218. Polygon(C_6, T_4, S_4) → driehoek25, d_{23}, e_{23}, f_{24}
  219. Polygon(D_6, T_4, V_4) → driehoek26, v_4, g_{24}, h_{24}
  220. Polygon(D_6, W_4, V_4) → driehoek27, i_{24}, j_{24}, w_4
  221. Polygon(V_5, A_5, W_4) → driehoek28, k_{24}, v_5, l_{24}
  222. Polygon(V_5, B_5, A_5) → driehoek29, m_{24}, n_{24}, p_{24}
  223. Polygon(W_5, B_5, D_5) → driehoek30, q_{24}, w_5, r_{24}
  224. Polygon(W_5, E_5, D_5) → driehoek31, s_{24}, t_{24}, a_{24}
  225. Polygon(G_5, Z_5, E_5) → driehoek32, b_{24}, c_{24}, z_5
  226. Polygon(Z_5, G_5, H_5) → driehoek33, d_{24}, e_{24}, f_{25}
  227. Polygon(A_6, H_5, J_5) → driehoek34, g_{25}, h_{25}, i_{25}
  228. Polygon(A_6, J_5, K_5) → driehoek35, j_{25}, k_{25}, l_{25}
  229. Polygon(B_6, R_5, Q_5) → driehoek36, m_{25}, n_{25}, p_{25}
  230. Polygon(S_5, Q_5, P_5) → driehoek37, q_{25}, r_{25}, s_{25}
  231. Polygon(S_5, P_5, N_5) → driehoek38, t_{25}, a_{25}, b_{25}
  232. Polygon(T_5, M_5, K_5) → driehoek39, c_{25}, d_{25}, e_{25}
  233. Polygon(T_5, N_5, M_5) → driehoek40, f_{26}, g_{26}, h_{26}
  234. ESquare1(T_4, D_6, W_4) → U_5, E_6, F_6, vierhoek107, vierhoek108, driehoek41, driehoek42
  235. ESquare1(W_4, V_5, B_5) → G_6, H_6, I_6, vierhoek109, vierhoek110, driehoek43, driehoek44
  236. ESquare1(B_5, W_5, E_5) → J_6, K_6, L_6, vierhoek111, vierhoek112, driehoek45, driehoek46
  237. ESquare1(H_5, A_6, K_5) → M_6, N_6, O_6, vierhoek113, vierhoek114, driehoek47, driehoek48
  238. ESquare1(K_5, T_5, N_5) → P_6, Q_6, R_6, vierhoek115, vierhoek116, driehoek49, driehoek50
  239. ESquare1(N_5, S_5, Q_5) → S_6, T_6, U_6, vierhoek117, vierhoek118, driehoek51, driehoek52
  240. EHSquare5(E_5, Z_5) → V_6, W_6, Z_6, vierhoek119, driehoek53
  241. EHSquare5(Z_5, H_5) → A_7, B_7, C_7, vierhoek120, driehoek54
  242. EHSquare5(Q_5, B_6) → D_7, E_7, F_7, vierhoek121, driehoek55
  243. EHSquare5(C_6, T_4) → G_7, H_7, I_7, vierhoek122, driehoek56
  244. EAlmond14(F_6, R_7, I_6) → V_7, driehoek59, driehoek60
  245. EAlmond14(I_6, Q_7, L_6) → W_7, driehoek61, driehoek62
  246. EAlmond14(O_6, L_7, R_6) → Z_7, driehoek63, driehoek64
  247. EAlmond14(R_6, K_7, U_6) → A_8, driehoek65, driehoek66
  248. EAlmond14(D_8, S_7, F_6) → E_8, driehoek57, driehoek58
  249. EAlmond14(U_6, J_7, U_7) → F_8, driehoek67, driehoek68
  250. EAlmond14(B_8, O_7, O_6) → G_8, driehoek69, driehoek70
  251. EAlmond14(L_6, P_7, C_8) → H_8, driehoek71, driehoek72
  252. Polygon(B_7, C_7, B_8) → driehoek73, i_{26}, j_{26}, k_{26}
  253. Polygon(C_8, V_6, Z_6) → driehoek74, z_6, l_{26}, v_6
  254. Polygon(A_7, C_7, I_8) → driehoek75, m_{26}, n_{26}, p_{26}
  255. Polygon(A_7, I_8, Z_6) → driehoek76, q_{26}, r_{26}, s_{26}
  256. Polygon(D_7, F_7, U_7) → driehoek77, t_{26}, a_{26}, e_{26}
  257. Polygon(H_7, I_7, D_8) → driehoek78, b_{26}, c_{26}, d_{26}
  258. ESmBiped13(B_8, G_8, O_6) → J_8, K_8, L_8, vierhoek123, vierhoek124, driehoek79, driehoek80
  259. ESmBiped13(O_6, Z_7, R_6) → M_8, N_8, O_8, vierhoek125, vierhoek126, driehoek81, driehoek82
  260. ESmBiped13(R_6, A_8, U_6) → P_8, Q_8, R_8, vierhoek127, vierhoek128, driehoek83, driehoek84
  261. ESmBiped13(U_6, F_8, U_7) → S_8, T_8, U_8, vierhoek129, vierhoek130, driehoek85, driehoek86
  262. ESmBiped13(L_6, H_8, C_8) → V_8, W_8, Z_8, vierhoek131, vierhoek132, driehoek87, driehoek88
  263. ESmBiped13(I_6, W_7, L_6) → A_9, B_9, C_9, vierhoek133, vierhoek134, driehoek89, driehoek90
  264. ESmBiped13(F_6, V_7, I_6) → D_9, E_9, F_9, vierhoek135, vierhoek136, driehoek91, driehoek92
  265. ESmBiped13(D_8, E_8, F_6) → G_9, H_9, I_9, vierhoek137, vierhoek138, driehoek93, driehoek94
  266. EJug4(I_8, C_7, B_8) → J_9, K_9, L_9, vierhoek139, vierhoek140, driehoek95, driehoek96
  267. EJug4(C_8, Z_6, I_8) → M_9, N_9, O_9, vierhoek141, vierhoek142, driehoek97, driehoek98
  268. ERhombus2(Q_9, P_9, I_9) → R_9, S_9, T_9, vierhoek143, vierhoek144, driehoek99, driehoek100
  269. Polygon(P_9, G_9, I_9) → driehoek101, f_{27}, g_{27}, h_{27}
  270. Polygon(W_9, I_9, M_9) → driehoek102, i_{27}, w_9, j_{27}
  271. Polygon(B_{10}, T_8, U_8) → driehoek103, u_8, k_{27}, l_{27}
  272. Polygon(U_9, K_9, U_8) → driehoek104, m_{27}, u_9, n_{27}
  273. Polygon(D_{10}, V_9, W_9) → driehoek105, p_{27}, q_{27}, v_9
  274. Polygon(D_{10}, M_9, W_9) → driehoek106, r_{27}, s_{27}, t_{27}
  275. Polygon(D_{10}, N_9, V_9) → driehoek107, a_{27}, b_{27}, c_{27}
  276. Polygon(C_{10}, N_9, V_9) → driehoek108, d_{27}, e_{27}, f_{28}
  277. Polygon(C_{10}, K_9, U_9) → driehoek109, g_{28}, h_{28}, i_{28}
  278. Polygon(U_9, V_9, C_{10}) → driehoek110, j_{28}, k_{28}, l_{28}
  279. ERhombus2(I_9, W_9, V_9) → E_{10}, F_{10}, G_{10}, vierhoek145, vierhoek146, driehoek111, driehoek112
  280. ERhombus2(V_9, U_9, U_8) → H_{10}, I_{10}, J_{10}, vierhoek147, vierhoek148, driehoek113, driehoek114
  281. ERhombus2(U_8, B_{10}, A_{10}) → K_{10}, L_{10}, M_{10}, vierhoek149, vierhoek150, driehoek115, driehoek116
  282. Polygon(N_{10}, M_{10}, L_{10}) → driehoek117, m_{28}, n_{28}, p_{28}
  283. Polygon(L_{10}, O_{10}, K_{10}) → driehoek118, q_{28}, r_{28}, o_{10}
  284. Polygon(O_{10}, I_{10}, K_{10}) → driehoek119, s_{28}, t_{28}, a_{28}
  285. Polygon(H_{10}, P_{10}, I_{10}) → driehoek120, b_{28}, c_{28}, d_{28}
  286. Polygon(P_{10}, F_{10}, H_{10}) → driehoek121, e_{28}, f_{29}, g_{29}
  287. Polygon(Q_{10}, F_{10}, E_{10}) → driehoek122, h_{29}, i_{29}, j_{29}
  288. Polygon(Q_{10}, S_9, E_{10}) → driehoek123, k_{29}, l_{29}, m_{29}
  289. Polygon(R_{10}, R_9, S_9) → driehoek124, n_{29}, p_{29}, q_{29}
  290. ESquare1(S_9, Q_{10}, F_{10}) → S_{10}, T_{10}, U_{10}, vierhoek151, vierhoek152, driehoek125, driehoek126
  291. ESquare1(F_{10}, P_{10}, I_{10}) → V_{10}, W_{10}, Z_{10}, vierhoek153, vierhoek154, driehoek127, driehoek128
  292. ESquare1(I_{10}, O_{10}, L_{10}) → A_{11}, B_{11}, C_{11}, vierhoek155, vierhoek156, driehoek129, driehoek130
  293. EAlmond14(Z_{10}, D_{11}, C_{11}) → F_{11}, driehoek131, driehoek132
  294. EAlmond14(U_{10}, E_{11}, Z_{10}) → G_{11}, driehoek133, driehoek134
  295. Polygon(F_7, H_{11}, E_7) → driehoek135, r_{29}, s_{29}, t_{29}
  296. Polygon(G_7, I_{11}, I_7) → driehoek136, a_{29}, b_{29}, c_{29}
  297. EJug4(U_7, F_7, H_{11}) → J_{11}, K_{11}, L_{11}, vierhoek157, vierhoek158, driehoek137, driehoek138
  298. EJug4(I_{11}, I_7, D_8) → M_{11}, N_{11}, O_{11}, vierhoek159, vierhoek160, driehoek139, driehoek140
  299. Polygon(P_{11}, J_{11}, B_{10}) → driehoek141, d_{29}, e_{29}, f_{30}
  300. Polygon(P_{11}, B_{10}, A_{10}) → driehoek142, g_{30}, h_{30}, i_{30}
  301. Polygon(P_{11}, K_{11}, A_{10}) → driehoek143, j_{30}, k_{30}, l_{30}
  302. Polygon(Q_{11}, N_{11}, Z_9) → driehoek144, z_9, m_{30}, n_{30}
  303. Polygon(Q_9, Z_9, Q_{11}) → driehoek145, p_{30}, q_{30}, r_{30}
  304. Polygon(M_{11}, Q_9, Q_{11}) → driehoek146, s_{30}, t_{30}, a_{30}
  305. EAlmond14(C_{11}, U_{11}, R_{11}) → V_{11}, driehoek147, driehoek148
  306. EAlmond14(S_{11}, T_{11}, U_{10}) → W_{11}, driehoek149, driehoek150
  307. EHRhombus6(L_{10}, N_{10}) → Z_{11}, A_{12}, B_{12}, vierhoek161, driehoek151
  308. EHRhombus6(R_{10}, S_9) → C_{12}, D_{12}, E_{12}, vierhoek162, driehoek152
  309. Polygon(A_{12}, R_{11}, Z_{11}) → driehoek153, z_{11}, b_{30}, c_{30}
  310. Polygon(S_{11}, C_{12}, D_{12}) → driehoek154, d_{30}, e_{30}, f_{31}
  311. ESmBiped13(U_{10}, G_{11}, Z_{10}) → F_{12}, G_{12}, H_{12}, vierhoek163, vierhoek164, driehoek155, driehoek156
  312. ESmBiped13(Z_{10}, F_{11}, C_{11}) → I_{12}, J_{12}, K_{12}, vierhoek165, vierhoek166, driehoek157, driehoek158
  313. ESmBiped13(C_{11}, V_{11}, R_{11}) → L_{12}, M_{12}, N_{12}, vierhoek167, vierhoek168, driehoek159, driehoek160
  314. ESmBiped13(S_{11}, W_{11}, U_{10}) → O_{12}, P_{12}, Q_{12}, vierhoek169, vierhoek170, driehoek161, driehoek162
  315. Segment(I, H) → g_{31}
  316. Segment(O_4, H) → h_{31}
  317. Segment(O_4, N_2) → i_{31}
  318. Segment(P_4, H_2) → j_{31}
  319. Segment(P_4, N_3) → k_{31}
  320. Segment(V, N_3) → l_{31}
  321. Segment(Q_4, N_3) → m_{31}
  322. Segment(Q_4, E_2) → n_{31}
  323. Segment(J_1, L_3) → p_{31}
  324. Segment(R_4, L_3) → q_{31}
  325. Segment(R_4, W_1) → r_{31}
  326. Segment(H, G) → s_{31}
  327. Segment(L_3, E_4) → t_{31}
  328. Segment(Q_2, G) → a_{31}
  329. Segment(K_3, E_4) → b_{31}
  330. Segment(O_4, H) → c_{31}
  331. Segment(O_4, N_2) → d_{31}
  332. Segment(R_4, W_1) → e_{31}
  333. Segment(R_4, L_3) → f_{32}
  334. Segment(L_3, K_3) → g_{32}
  335. Segment(H, Q_2) → h_{32}
  336. Segment(I, H) → i_{32}
  337. Segment(J_1, L_3) → j_{32}
  338. Segment(P_4, H_2) → k_{32}
  339. Segment(Q_4, N_3) → l_{32}
  340. Segment(P_4, N_3) → m_{32}
  341. Segment(Q_4, E_2) → n_{32}
  342. Segment(L_3, W_1) → p_{32}
  343. Segment(H, N_2) → q_{32}
  344. Segment(H_2, E_2) → r_{32}
  345. Segment(H, G) → s_{32}
  346. Segment(Q_2, G) → t_{32}
  347. Segment(K_3, E_4) → a_{32}
  348. Segment(L_3, E_4) → b_{32}

AI 绘图提示语参考

绘制凯瑟里双重清真寺的几何图案，首先创建点A和B，围绕B旋转A形成AB和BA，通过交点命令生成对称图案的基本单元，如ABAB、ABH、ABHR等。接着构造正方形和菱形，通过缩放中心点调整大小，最后利用这些基本单元构造复杂的对称图案，如Almond3、SmBiped9等。
以上提示语为根据原始绘图命令整理而来，仅供参考。