积极 AI Logo 积极 AI

穆卡纳斯布尔萨纹样的几何变换作图

穆卡纳斯布尔萨纹样的几何变换作图
几何画板及绘图内容加载中，请稍等……
2020-08-03 23:53
圆多边形立体几何变换几何作图
所属专题 building muqarnas in GeoGebra
本范例展示如何用几何变换生成穆卡纳斯（Bursa/Abdal Mehmet）风格的分形式装饰几何图案，并体现对称与尺度保持的结构演化。核心数学概念包括：相似变换（dilate/缩放）、旋转（Rotate）、交点求取（Intersect）以及由多段线构成的多边形拼合（Polygon），同时通过构造同形模块实现重复拼接。作图要点：利用 Rotate 完成局部单元的旋转定位；用 Intersect 计算旋转与缩放后几何边的交点以确定拼接位置；用 Dilate 实现从基元到放大/缩小单元的尺度映射；再用 Polygon 依交点与关键点（如 A、B 及其一系列由命令产生的变体对象）围出各个装饰块的轮廓；并配合 Segment、以及对关键长度的根号量（如 LeftSqrt2/UpSqrt2/DownSqrt2/RightSqrt2 等）与由方形/菱形/杏仁形模板（TAlmond/THSquare/TRhombus/TEHSquare/…等）构成的基础子图元，实现复杂图案的层层堆叠；脚本中还包含条件 If 用于按分支选择或生成特定结构。适合中学高年级到大学的几何建模与动态几何学习，用于讲解几何作图、相似变换与图案生成的数学方法。

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. Segment(BAR, ABR) → q
  123. Segment(A, ABR) → g_3
  124. Segment(A, B) → h_3
  125. Segment(A, BAR) → i_3
  126. Polygon(D, E, EE, DD) → achter1, d_3, e_3, ee, dd
  127. Polygon(C, CC, DD, D) → achter2, c_3, cc, j_3, d_4
  128. Polygon(EE, EC, DD) → Square1boven1, k_3, l_3, ec
  129. Polygon(CC, EC, DD) → Square1boven2, m_3, n_3, p_3
  130. Polygon(EE, ECA, DD) → Almond3boven1, q_3, r_3, eca
  131. Polygon(CC, ECA, DD) → Almond3boven2, s_3, t_3, f_4
  132. Polygon(EE, ECJ, DD) → Jug4boven1, g_4, h_4, ecj
  133. Polygon(CC, ECJ, DD) → Jug4boven2, i_4, j_4, k_4
  134. Polygon(CC, DD, CDHS) → HSquare5boven, cdhs, l_4, m_4
  135. Polygon(CC, DD, CDHR) → HRhombusboven, cdhr, n_4, p_4
  136. Polygon(EE, ECSB, DD) → SmBiped2boven1, q_4, r_4, ecsb
  137. Polygon(DD, ECSB, CC) → SmBiped2boven2, s_4, t_4, c_4
  138. Intersect(Line[C, Line[D, E]], Line[E, Line[D, C]]) → CE
  139. Polygon(DU, E, CE) → Square7boven1, ce, du, e_4
  140. Polygon(DU, CE, C) → Square7boven2, c_5, f_5, g_5
  141. Intersect(Line[C, Rotate[D, 45°, Line[C, C + (0, 0, 1)]]], Line[E, Rotate[D, (-(45°)), Line[E, E + (0, 0, 1)]]]) → CESB
  142. Polygon(DU, E, CESB) → SmBiped9boven1, cesb, h_5, e_5
  143. Polygon(DU, CESB, C) → SmBiped9boven2, c_6, i_5, j_5
  144. 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
  145. Polygon(DU, E, CELB) → LBiped10boven1, celb, k_5, e_6
  146. Polygon(DU, CELB, C) → LBiped10boven2, c_7, l_5, m_5
  147. Intersect(Line[C, Rotate[D, 90°, Line[C, C + (0, 0, 1)]]], Line[E, Rotate[D, (-(90°)), Line[E, E + (0, 0, 1)]]]) → CEA
  148. Polygon(DU, E, CEA) → Almond14onder1, cea, p_5, e_8
  149. Polygon(DU, CEA, C) → Almond14onder2, c_9, q_5, r_5
  150. Left1(F) → G
  151. Left1(G) → H
  152. LeftSqrt2(H) → M
  153. Left1(M) → N
  154. TAlmond14(N, M) → O, P, vierhoek3, vierhoek4, n_6, p_6, q_6, r_6, s_6, t_6
  155. Left1(N) → Q
  156. LeftSqrt2(N) → R
  157. UpSqrt2(R) → S
  158. THSquare5(S, R) → T, driehoek3, driehoek4, d_6, f_7, g_7, h_7, i_7, j_7
  159. THRhombus6(T, Q) → U, driehoek5, driehoek6, k_7, l_7, m_7, n_7, p_7, q_7
  160. Up1(T) → V
  161. TRhombus2(V, T) → W, Z, g_8, vierhoek5, vierhoek6, r_7, s_7, t_7, d_7, e_7, f_8
  162. Up1(Z) → A_1
  163. Left1(Z) → B_1
  164. THSquare5(A_1, B_1) → C_1, driehoek7, driehoek8, h_8, i_8, j_8, k_8, l_8, m_8
  165. Up1(B_1) → D_1
  166. DownSqrt2(D_1) → E_1
  167. TAlmond3(E_1, V) → F_1, G_1, c_8, vierhoek7, vierhoek8, n_8, p_8, q_8, r_8, s_8, t_8
  168. LeftSqrt2(V) → H_1
  169. Right1(H_1) → I_1
  170. TAlmond3(I_1, S) → J_1, K_1, k_9, vierhoek9, vierhoek10, d_8, f_9, g_9, h_9, i_9, j_9
  171. TLBiped10(A_1, Z) → L_1, M_1, s_9, vierhoek11, vierhoek12, l_9, m_9, n_9, p_9, q_9, r_9
  172. Up1(M_1) → N_1
  173. THSquare5(N_1, A_1) → O_1, driehoek9, driehoek10, t_9, d_9, e_9, f_{10}, g_{10}, h_{10}
  174. Left1(N_1) → P_1
  175. RightSqrt2(P_1) → Q_1
  176. TAlmond3(Q_1, N_1) → R_1, S_1, p_{10}, vierhoek13, vierhoek14, i_{10}, j_{10}, k_{10}, l_{10}, m_{10}, n_{10}
  177. TRhombus2(R_1, M_1) → T_1, U_1, e_{10}, vierhoek15, vierhoek16, q_{10}, r_{10}, s_{10}, t_{10}, c_{10}, d_{10}
  178. UpSqrt2(R_1) → V_1
  179. Down1(V_1) → W_1
  180. TAlmond3(W_1, R_1) → Z_1, A_2, l_{11}, vierhoek17, vierhoek18, f_{11}, g_{11}, h_{11}, i_{11}, j_{11}, k_{11}
  181. RightSqrt2(Z_1) → B_2
  182. THSquare5(B_2, Z_1) → C_2, driehoek11, driehoek12, m_{11}, n_{11}, p_{11}, q_{11}, r_{11}, s_{11}
  183. RightSqrt2(B_2) → D_2
  184. THSquare5(D_2, B_2) → E_2, driehoek13, driehoek14, t_{11}, c_{11}, d_{11}, e_{11}, f_{12}, g_{12}
  185. TLBiped10(B_2, U_1) → F_2, G_2, n_{12}, vierhoek19, vierhoek20, h_{12}, i_{12}, j_{12}, k_{12}, l_{12}, m_{12}
  186. Right1(E_2) → H_2
  187. TRhombus2(H_2, E_2) → I_2, J_2, b_{12}, vierhoek21, vierhoek22, p_{12}, q_{12}, r_{12}, s_{12}, t_{12}, a_{12}
  188. UpSqrt2(H_2) → K_2
  189. Down1(K_2) → L_2
  190. TAlmond3(L_2, D_2) → M_2, N_2, i_{13}, vierhoek23, vierhoek24, c_{12}, d_{12}, e_{12}, f_{13}, g_{13}, h_{13}
  191. Up1(J_2) → O_2
  192. Right1(O_2) → P_2
  193. LeftSqrt2(P_2) → Q_2
  194. TAlmond3(Q_2, H_2) → R_2, S_2, q_{13}, vierhoek25, vierhoek26, j_{13}, k_{13}, l_{13}, m_{13}, n_{13}, p_{13}
  195. Right1(J_2) → T_2
  196. THSquare5(T_2, O_2) → U_2, driehoek15, driehoek16, r_{13}, s_{13}, t_{13}, a_{13}, b_{13}, c_{13}
  197. TLBiped10(T_2, J_2) → V_2, W_2, j_{14}, vierhoek27, vierhoek28, d_{13}, e_{13}, f_{14}, g_{14}, h_{14}, i_{14}
  198. Right1(W_2) → Z_2
  199. THSquare5(Z_2, T_2) → A_3, driehoek17, driehoek18, k_{14}, l_{14}, m_{14}, n_{14}, p_{14}, q_{14}
  200. Up1(Z_2) → B_3
  201. DownSqrt2(B_3) → C_3
  202. TAlmond3(C_3, Z_2) → D_3, E_3, d_{14}, vierhoek29, vierhoek30, r_{14}, s_{14}, t_{14}, a_{14}, b_{14}, c_{14}
  203. TRhombus2(D_3, W_2) → F_3, G_3, k_{15}, vierhoek31, vierhoek32, e_{14}, f_{15}, g_{15}, h_{15}, i_{15}, j_{15}
  204. RightSqrt2(D_3) → H_3
  205. Left1(H_3) → I_3
  206. TAlmond3(I_3, D_3) → J_3, K_3, s_{15}, vierhoek33, vierhoek34, l_{15}, m_{15}, n_{15}, p_{15}, q_{15}, r_{15}
  207. DownSqrt2(J_3) → L_3
  208. THSquare5(L_3, J_3) → M_3, driehoek19, driehoek20, t_{15}, a_{15}, b_{15}, c_{15}, d_{15}, e_{15}
  209. LeftSqrt2(L_3) → N_3
  210. Right1(N_3) → O_3
  211. THRhombus6(O_3, G_3) → P_3, driehoek21, driehoek22, f_{16}, g_{16}, h_{16}, i_{16}, j_{16}, k_{16}
  212. TLBiped10(G_3, F_3) → Q_3, R_3, s_{16}, vierhoek35, vierhoek36, l_{16}, m_{16}, n_{16}, p_{16}, q_{16}, r_{16}
  213. TLBiped10(T, N) → S_3, T_3, f_{17}, vierhoek37, vierhoek38, t_{16}, a_{16}, b_{16}, c_{16}, d_{16}, e_{16}
  214. TJug4(Q_3, F_3) → U_3, V_3, m_{17}, vierhoek39, vierhoek40, g_{17}, h_{17}, i_{17}, j_{17}, k_{17}, l_{17}
  215. TJug4(V_2, J_2) → W_3, Z_3, a_{17}, vierhoek41, vierhoek42, n_{17}, p_{17}, q_{17}, r_{17}, s_{17}, t_{17}
  216. TJug4(F_2, U_1) → A_4, B_4, h_{18}, vierhoek43, vierhoek44, b_{17}, c_{17}, d_{17}, e_{17}, f_{18}, g_{18}
  217. TJug4(L_1, Z) → C_4, D_4, p_{18}, vierhoek45, vierhoek46, i_{18}, j_{18}, k_{18}, l_{18}, m_{18}, n_{18}
  218. TJug4(S_3, N) → E_4, F_4, c_{18}, vierhoek47, vierhoek48, q_{18}, r_{18}, s_{18}, t_{18}, a_{18}, b_{18}
  219. TLBiped10(W_2, W_3) → G_4, H_4, j_{19}, vierhoek49, vierhoek50, d_{18}, e_{18}, f_{19}, g_{19}, h_{19}, i_{19}
  220. TLBiped10(J_2, I_2) → I_4, J_4, r_{19}, vierhoek51, vierhoek52, k_{19}, l_{19}, m_{19}, n_{19}, p_{19}, q_{19}
  221. TLBiped10(E_2, A_4) → K_4, L_4, e_{19}, vierhoek53, vierhoek54, s_{19}, t_{19}, a_{19}, b_{19}, c_{19}, d_{19}
  222. TLBiped10(U_1, T_1) → M_4, N_4, l_{20}, vierhoek55, vierhoek56, f_{20}, g_{20}, h_{20}, i_{20}, j_{20}, k_{20}
  223. TLBiped10(M_1, C_4) → O_4, P_4, t_{20}, vierhoek57, vierhoek58, m_{20}, n_{20}, p_{20}, q_{20}, r_{20}, s_{20}
  224. TLBiped10(Z, W) → Q_4, R_4, g_{21}, vierhoek59, vierhoek60, a_{20}, b_{20}, c_{20}, d_{20}, e_{20}, f_{21}
  225. TJug4(G_4, W_3) → S_4, T_4, n_{21}, vierhoek61, vierhoek62, h_{21}, i_{21}, j_{21}, k_{21}, l_{21}, m_{21}
  226. TJug4(I_4, I_2) → U_4, V_4, b_{21}, vierhoek63, vierhoek64, p_{21}, q_{21}, r_{21}, s_{21}, t_{21}, a_{21}
  227. TJug4(K_4, A_4) → W_4, Z_4, i_{22}, vierhoek65, vierhoek66, c_{21}, d_{21}, e_{21}, f_{22}, g_{22}, h_{22}
  228. TJug4(M_4, T_1) → A_5, B_5, q_{22}, vierhoek67, vierhoek68, j_{22}, k_{22}, l_{22}, m_{22}, n_{22}, p_{22}
  229. TJug4(O_4, C_4) → C_5, D_5, d_{22}, vierhoek69, vierhoek70, r_{22}, s_{22}, t_{22}, a_{22}, b_{22}, c_{22}
  230. TJug4(Q_4, W) → E_5, F_5, k_{23}, vierhoek71, vierhoek72, e_{22}, f_{23}, g_{23}, h_{23}, i_{23}, j_{23}
  231. TAlmond14(F_3, S_4) → G_5, H_5, vierhoek73, vierhoek74, l_{23}, m_{23}, n_{23}, p_{23}, q_{23}, r_{23}
  232. TAlmond14(W_3, U_4) → I_5, J_5, vierhoek75, vierhoek76, s_{23}, t_{23}, a_{23}, b_{23}, c_{23}, d_{23}
  233. TAlmond14(W_3, I_5) → K_5, L_5, vierhoek77, vierhoek78, e_{23}, f_{24}, g_{24}, h_{24}, i_{24}, j_{24}
  234. TAlmond14(I_2, W_4) → M_5, N_5, vierhoek79, vierhoek80, k_{24}, l_{24}, m_{24}, n_{24}, p_{24}, q_{24}
  235. TAlmond14(A_4, A_5) → O_5, P_5, vierhoek81, vierhoek82, r_{24}, s_{24}, t_{24}, a_{24}, b_{24}, c_{24}
  236. TAlmond14(A_4, O_5) → Q_5, R_5, vierhoek83, vierhoek84, d_{24}, e_{24}, f_{25}, g_{25}, h_{25}, i_{25}
  237. TAlmond14(T_1, C_5) → S_5, T_5, vierhoek85, vierhoek86, j_{25}, k_{25}, l_{25}, m_{25}, n_{25}, p_{25}
  238. TAlmond14(C_4, E_5) → U_5, V_5, vierhoek87, vierhoek88, q_{25}, r_{25}, s_{25}, t_{25}, a_{25}, b_{25}
  239. TAlmond14(C_4, U_5) → W_5, Z_5, vierhoek89, vierhoek90, c_{25}, d_{25}, e_{25}, f_{26}, g_{26}, h_{26}
  240. TAlmond14(W, O) → A_6, B_6, vierhoek91, vierhoek92, i_{26}, j_{26}, k_{26}, l_{26}, m_{26}, n_{26}
  241. TAlmond14(N_3, U_3) → C_6, D_6, vierhoek93, vierhoek94, p_{26}, q_{26}, r_{26}, s_{26}, t_{26}, a_{26}
  242. TSmBiped13(D_6, U_3) → E_6, F_6, h_{27}, vierhoek95, vierhoek96, b_{26}, c_{26}, d_{26}, e_{26}, f_{27}, g_{27}
  243. TSmBiped13(H_5, S_4) → G_6, H_6, p_{27}, vierhoek97, vierhoek98, i_{27}, j_{27}, k_{27}, l_{27}, m_{27}, n_{27}
  244. TSmBiped13(L_5, I_5) → I_6, J_6, c_{27}, vierhoek99, vierhoek100, q_{27}, r_{27}, s_{27}, t_{27}, a_{27}, b_{27}
  245. TSmBiped13(J_5, U_4) → K_6, L_6, j_{28}, vierhoek101, vierhoek102, d_{27}, e_{27}, f_{28}, g_{28}, h_{28}, i_{28}
  246. TSmBiped13(N_5, W_4) → M_6, N_6, r_{28}, vierhoek103, vierhoek104, k_{28}, l_{28}, m_{28}, n_{28}, p_{28}, q_{28}
  247. TSmBiped13(R_5, O_5) → O_6, P_6, e_{28}, vierhoek105, vierhoek106, s_{28}, t_{28}, a_{28}, b_{28}, c_{28}, d_{28}
  248. TSmBiped13(P_5, A_5) → Q_6, R_6, l_{29}, vierhoek107, vierhoek108, f_{29}, g_{29}, h_{29}, i_{29}, j_{29}, k_{29}
  249. TSmBiped13(T_5, C_5) → S_6, T_6, t_{29}, vierhoek109, vierhoek110, m_{29}, n_{29}, p_{29}, q_{29}, r_{29}, s_{29}
  250. TSmBiped13(Z_5, U_5) → U_6, V_6, g_{30}, vierhoek111, vierhoek112, a_{29}, b_{29}, c_{29}, d_{29}, e_{29}, f_{30}
  251. TSmBiped13(V_5, E_5) → W_6, Z_6, n_{30}, vierhoek113, vierhoek114, h_{30}, i_{30}, j_{30}, k_{30}, l_{30}, m_{30}
  252. TSmBiped13(B_6, O) → A_7, B_7, b_{30}, vierhoek115, vierhoek116, p_{30}, q_{30}, r_{30}, s_{30}, t_{30}, a_{30}
  253. TSmBiped13(P, M) → C_7, D_7, i_{31}, vierhoek117, vierhoek118, c_{30}, d_{30}, e_{30}, f_{31}, g_{31}, h_{31}
  254. TLBiped10(I_5, L_6) → J, K, h_6, vierhoek1, vierhoek2, n_5, s_5, t_5, d_5, f_6, g_6
  255. TLBiped10(O_5, R_6) → L, E_7, k_{31}, vierhoek119, vierhoek120, i_6, j_6, k_6, l_6, m_6, j_{31}
  256. TLBiped10(U_5, Z_6) → F_7, G_7, s_{31}, vierhoek121, vierhoek122, l_{31}, m_{31}, n_{31}, p_{31}, q_{31}, r_{31}
  257. Left1(H) → H_7
  258. THRhombus6(Z_6, H_7) → I_7, driehoek1, driehoek2, t_{31}, a_{31}, b_{31}, c_{31}, d_{31}, e_{31}
  259. Right1(G) → J_7
  260. Right1(J_7) → K_7
  261. THRhombus6(K_7, F_6) → L_7, driehoek23, driehoek24, f_{32}, g_{32}, h_{32}, i_{32}, j_{32}, k_{32}
  262. TJug4(J, L_6) → M_7, N_7, s_{32}, vierhoek123, vierhoek124, l_{32}, m_{32}, n_{32}, p_{32}, q_{32}, r_{32}
  263. TJug4(L, R_6) → O_7, P_7, f_{33}, vierhoek125, vierhoek126, t_{32}, a_{32}, b_{32}, c_{32}, d_{32}, e_{32}
  264. TJug4(F_7, Z_6) → Q_7, R_7, m_{33}, vierhoek127, vierhoek128, g_{33}, h_{33}, i_{33}, j_{33}, k_{33}, l_{33}
  265. TAlmond14(Z_6, H) → S_7, T_7, vierhoek129, vierhoek130, n_{33}, p_{33}, q_{33}, r_{33}, s_{33}, t_{33}
  266. TAlmond14(R_6, I) → U_7, V_7, vierhoek131, vierhoek132, a_{33}, b_{33}, c_{33}, d_{33}, e_{33}, f_{34}
  267. TAlmond14(L_6, O_7) → W_7, Z_7, vierhoek133, vierhoek134, g_{34}, h_{34}, i_{34}, j_{34}, k_{34}, l_{34}
  268. TAlmond14(F_6, M_7) → A_8, B_8, vierhoek135, vierhoek136, m_{34}, n_{34}, p_{34}, q_{34}, r_{34}, s_{34}
  269. TSmBiped13(T_7, H) → C_8, D_8, f_{35}, vierhoek137, vierhoek138, t_{34}, a_{34}, b_{34}, c_{34}, d_{34}, e_{34}
  270. TSmBiped13(V_7, I) → E_8, F_8, m_{35}, vierhoek139, vierhoek140, g_{35}, h_{35}, i_{35}, j_{35}, k_{35}, l_{35}
  271. TSmBiped13(Z_7, O_7) → G_8, H_8, a_{35}, vierhoek141, vierhoek142, n_{35}, p_{35}, q_{35}, r_{35}, s_{35}, t_{35}
  272. TSmBiped13(B_8, M_7) → I_8, J_8, h_{36}, vierhoek143, vierhoek144, b_{35}, c_{35}, d_{35}, e_{35}, f_{36}, g_{36}
  273. Segment(N_3, C_6) → f_3
  274. EAlmond3(F_1, E_1, J_1) → K_8, L_8, M_8, vierhoek145, vierhoek146, driehoek25, driehoek26
  275. EAlmond3(J_1, I_1, S) → N_8, O_8, P_8, vierhoek147, vierhoek148, driehoek27, driehoek28
  276. EAlmond3(Z_1, W_1, R_1) → Q_8, R_8, S_8, vierhoek149, vierhoek150, driehoek29, driehoek30
  277. EAlmond3(R_1, Q_1, N_1) → T_8, U_8, V_8, vierhoek151, vierhoek152, driehoek31, driehoek32
  278. EAlmond3(M_2, L_2, D_2) → W_8, Z_8, A_9, vierhoek153, vierhoek154, driehoek33, driehoek34
  279. EAlmond3(R_2, Q_2, M_2) → B_9, C_9, D_9, vierhoek155, vierhoek156, driehoek35, driehoek36
  280. EAlmond3(D_3, C_3, Z_2) → E_9, F_9, G_9, vierhoek157, vierhoek158, driehoek37, driehoek38
  281. EAlmond3(J_3, I_3, D_3) → H_9, I_9, J_9, vierhoek159, vierhoek160, driehoek39, driehoek40
  282. EHSquare5(S, R) → K_9, L_9, M_9, vierhoek161, driehoek41
  283. EHSquare5(N_1, A_1) → N_9, O_9, P_9, vierhoek162, driehoek42
  284. EHSquare5(L_3, J_3) → Q_9, R_9, S_9, vierhoek163, driehoek43
  285. EHSquare5(A_1, F_1) → T_9, U_9, V_9, vierhoek164, driehoek44
  286. EHSquare5(B_2, Z_1) → W_9, Z_9, A_{10}, vierhoek165, driehoek45
  287. EHSquare5(D_2, B_2) → B_{10}, C_{10}, D_{10}, vierhoek166, driehoek46
  288. EHSquare5(Z_2, T_2) → E_{10}, F_{10}, G_{10}, vierhoek167, driehoek47
  289. EHSquare5(T_2, R_2) → H_{10}, I_{10}, J_{10}, vierhoek168, driehoek48
  290. ELBiped10(G_{10}, M_{10}, J_{10}) → N_{10}, driehoek49, driehoek50
  291. ELBiped10(D_{10}, L_{10}, A_{10}) → O_{10}, driehoek51, driehoek52
  292. ELBiped10(P_9, K_{10}, V_9) → P_{10}, driehoek53, driehoek54
  293. Polygon(M_9, Q_{10}, L_9) → driehoek55, i_{36}, j_{36}, k_{36}
  294. Polygon(M_9, S_{10}, N_8) → driehoek56, l_{36}, m_{36}, n_{36}
  295. Polygon(S_{10}, V_9, N_8) → driehoek57, p_{36}, q_{36}, v_9
  296. Polygon(T_8, T_{10}, P_9) → driehoek58, r_{36}, s_{36}, t_{36}
  297. Polygon(T_8, A_{10}, T_{10}) → driehoek59, a_{36}, b_{36}, c_{36}
  298. Polygon(C_9, U_{10}, D_{10}) → driehoek60, d_{36}, e_{36}, u_{10}
  299. Polygon(C_9, J_{10}, U_{10}) → driehoek61, f_{37}, g_{37}, h_{37}
  300. Polygon(Q_9, R_{10}, S_9) → driehoek62, i_{37}, j_{37}, k_{37}
  301. Polygon(S_9, V_{10}, I_9) → driehoek63, l_{37}, m_{37}, v_{10}
  302. Polygon(V_{10}, G_{10}, I_9) → driehoek64, n_{37}, p_{37}, q_{37}
  303. EJug4(D_{10}, O_{10}, A_{10}) → W_{10}, Z_{10}, A_{11}, vierhoek169, vierhoek170, driehoek65, driehoek66
  304. ERhombus2(A_{10}, T_{10}, P_9) → B_{11}, C_{11}, D_{11}, vierhoek171, vierhoek172, driehoek67, driehoek68
  305. ERhombus2(D_{10}, U_{10}, J_{10}) → E_{11}, F_{11}, G_{11}, vierhoek173, vierhoek174, driehoek69, driehoek70
  306. EJug4(G_{10}, N_{10}, J_{10}) → H_{11}, I_{11}, J_{11}, vierhoek175, vierhoek176, driehoek71, driehoek72
  307. EJug4(P_9, P_{10}, V_9) → K_{11}, L_{11}, M_{11}, vierhoek177, vierhoek178, driehoek73, driehoek74
  308. ERhombus2(V_9, S_{10}, M_9) → N_{11}, O_{11}, P_{11}, vierhoek179, vierhoek180, driehoek75, driehoek76
  309. ERhombus2(S_9, V_{10}, G_{10}) → Q_{11}, R_{11}, S_{11}, vierhoek181, vierhoek182, driehoek77, driehoek78
  310. EHRhombus6(M_9, Q_{10}) → T_{11}, U_{11}, V_{11}, vierhoek183, driehoek79
  311. EHRhombus6(R_{10}, S_9) → W_{11}, Z_{11}, A_{12}, vierhoek184, driehoek80
  312. ELBiped10(A_{12}, I_{12}, R_{11}) → J_{12}, driehoek81, driehoek82
  313. ELBiped10(R_{11}, H_{12}, J_{11}) → K_{12}, driehoek83, driehoek84
  314. ELBiped10(J_{11}, G_{12}, F_{11}) → L_{12}, driehoek85, driehoek86
  315. ELBiped10(F_{11}, F_{12}, A_{11}) → M_{12}, driehoek87, driehoek88
  316. ELBiped10(A_{11}, E_{12}, C_{11}) → N_{12}, driehoek89, driehoek90
  317. ELBiped10(C_{11}, D_{12}, M_{11}) → O_{12}, driehoek91, driehoek92
  318. ELBiped10(M_{11}, C_{12}, O_{11}) → P_{12}, driehoek93, driehoek94
  319. ELBiped10(O_{11}, B_{12}, V_{11}) → Q_{12}, driehoek95, driehoek96
  320. EJug4(A_{12}, J_{12}, R_{11}) → R_{12}, S_{12}, T_{12}, vierhoek185, vierhoek186, driehoek97, driehoek98
  321. EJug4(R_{11}, K_{12}, J_{11}) → U_{12}, V_{12}, W_{12}, vierhoek187, vierhoek188, driehoek99, driehoek100
  322. EJug4(J_{11}, L_{12}, F_{11}) → Z_{12}, A_{13}, B_{13}, vierhoek189, vierhoek190, driehoek101, driehoek102
  323. EJug4(F_{11}, M_{12}, A_{11}) → C_{13}, D_{13}, E_{13}, vierhoek191, vierhoek192, driehoek103, driehoek104
  324. EJug4(A_{11}, N_{12}, C_{11}) → F_{13}, G_{13}, H_{13}, vierhoek193, vierhoek194, driehoek105, driehoek106
  325. EJug4(C_{11}, O_{12}, M_{11}) → I_{13}, J_{13}, K_{13}, vierhoek195, vierhoek196, driehoek107, driehoek108
  326. EJug4(M_{11}, P_{12}, O_{11}) → L_{13}, M_{13}, N_{13}, vierhoek197, vierhoek198, driehoek109, driehoek110
  327. EJug4(O_{11}, Q_{12}, V_{11}) → O_{13}, P_{13}, Q_{13}, vierhoek199, vierhoek200, driehoek111, driehoek112
  328. EAlmond14(B_{14}, C_{14}, T_{12}) → E_{14}, driehoek113, driehoek114
  329. EAlmond14(T_{12}, Z_{13}, W_{12}) → F_{14}, driehoek115, driehoek116
  330. EAlmond14(W_{12}, W_{13}, G_{14}) → J_{14}, driehoek117, driehoek118
  331. EAlmond14(G_{14}, W_{13}, B_{13}) → K_{14}, driehoek119, driehoek120
  332. EAlmond14(B_{13}, V_{13}, E_{13}) → L_{14}, driehoek121, driehoek122
  333. EAlmond14(E_{13}, U_{13}, H_{14}) → M_{14}, driehoek123, driehoek124
  334. EAlmond14(H_{14}, U_{13}, H_{13}) → N_{14}, driehoek125, driehoek126
  335. EAlmond14(H_{13}, T_{13}, K_{13}) → O_{14}, driehoek127, driehoek128
  336. EAlmond14(K_{13}, S_{13}, I_{14}) → P_{14}, driehoek129, driehoek130
  337. EAlmond14(I_{14}, S_{13}, N_{13}) → Q_{14}, driehoek131, driehoek132
  338. EAlmond14(N_{13}, R_{13}, Q_{13}) → R_{14}, driehoek133, driehoek134
  339. EAlmond14(Q_{13}, D_{14}, A_{14}) → S_{14}, driehoek135, driehoek136
  340. ESmBiped13(H_{14}, N_{14}, H_{13}) → T_{14}, U_{14}, V_{14}, vierhoek201, vierhoek202, driehoek137, driehoek138
  341. ESmBiped13(H_{13}, O_{14}, K_{13}) → W_{14}, Z_{14}, A_{15}, vierhoek203, vierhoek204, driehoek139, driehoek140
  342. ESmBiped13(K_{13}, P_{14}, I_{14}) → B_{15}, C_{15}, D_{15}, vierhoek205, vierhoek206, driehoek141, driehoek142
  343. ESmBiped13(I_{14}, Q_{14}, N_{13}) → E_{15}, F_{15}, G_{15}, vierhoek207, vierhoek208, driehoek143, driehoek144
  344. ESmBiped13(N_{13}, R_{14}, Q_{13}) → H_{15}, I_{15}, J_{15}, vierhoek209, vierhoek210, driehoek145, driehoek146
  345. ESmBiped13(Q_{13}, S_{14}, A_{14}) → K_{15}, L_{15}, M_{15}, vierhoek211, vierhoek212, driehoek147, driehoek148
  346. ESmBiped13(E_{13}, M_{14}, H_{14}) → N_{15}, O_{15}, P_{15}, vierhoek213, vierhoek214, driehoek149, driehoek150
  347. ESmBiped13(B_{13}, L_{14}, E_{13}) → Q_{15}, R_{15}, S_{15}, vierhoek215, vierhoek216, driehoek151, driehoek152
  348. ESmBiped13(G_{14}, K_{14}, B_{13}) → T_{15}, U_{15}, V_{15}, vierhoek217, vierhoek218, driehoek153, driehoek154
  349. ESmBiped13(W_{12}, J_{14}, G_{14}) → W_{15}, Z_{15}, A_{16}, vierhoek219, vierhoek220, driehoek155, driehoek156
  350. ESmBiped13(T_{12}, F_{14}, W_{12}) → B_{16}, C_{16}, D_{16}, vierhoek221, vierhoek222, driehoek157, driehoek158
  351. ESmBiped13(B_{14}, E_{14}, T_{12}) → E_{16}, F_{16}, G_{16}, vierhoek223, vierhoek224, driehoek159, driehoek160
  352. ELBiped10(G_{16}, J_{16}, V_{15}) → K_{16}, driehoek161, driehoek162
  353. ELBiped10(V_{15}, I_{16}, D_{15}) → L_{16}, driehoek163, driehoek164
  354. ELBiped10(D_{15}, H_{16}, M_{15}) → M_{16}, driehoek165, driehoek166
  355. EJug4(G_{16}, K_{16}, V_{15}) → N_{16}, O_{16}, P_{16}, vierhoek225, vierhoek226, driehoek167, driehoek168
  356. EJug4(V_{15}, L_{16}, D_{15}) → Q_{16}, R_{16}, S_{16}, vierhoek227, vierhoek228, driehoek169, driehoek170
  357. EJug4(D_{15}, M_{16}, M_{15}) → T_{16}, U_{16}, V_{16}, vierhoek229, vierhoek230, driehoek171, driehoek172
  358. EHRhombus6(M_{15}, W_{16}) → A_{17}, B_{17}, C_{17}, vierhoek231, driehoek173
  359. EHRhombus6(Z_{16}, G_{16}) → D_{17}, E_{17}, F_{17}, vierhoek232, driehoek174
  360. Polygon(E_{16}, Z_{16}, G_{16}) → driehoek175, r_{37}, s_{37}, z_{16}
  361. Polygon(L_{15}, M_{15}, W_{16}) → driehoek176, w_{16}, t_{37}, a_{37}
  362. EAlmond14(F_{17}, H_{17}, P_{16}) → K_{17}, driehoek177, driehoek178
  363. EAlmond14(P_{16}, J_{17}, S_{16}) → L_{17}, driehoek179, driehoek180
  364. EAlmond14(S_{16}, I_{17}, V_{16}) → M_{17}, driehoek181, driehoek182
  365. EAlmond14(V_{16}, G_{17}, C_{17}) → N_{17}, driehoek183, driehoek184
  366. ESmBiped13(F_{17}, K_{17}, P_{16}) → O_{17}, P_{17}, Q_{17}, vierhoek233, vierhoek234, driehoek185, driehoek186
  367. ESmBiped13(V_{16}, N_{17}, C_{17}) → R_{17}, S_{17}, T_{17}, vierhoek235, vierhoek236, driehoek187, driehoek188
  368. ESmBiped13(P_{16}, L_{17}, S_{16}) → U_{17}, V_{17}, W_{17}, vierhoek237, vierhoek238, driehoek189, driehoek190
  369. ESmBiped13(S_{16}, M_{17}, V_{16}) → Z_{17}, A_{18}, B_{18}, vierhoek239, vierhoek240, driehoek191, driehoek192
  370. If(toon_{max}, "3D only", "layer = " + toon_{lagen}) → toon_{lagen-tekst}

AI 绘图提示语参考

这是一个穆卡纳斯风格的Bursa装饰图案，由多个重复的几何单元组成。首先，通过旋转和相交操作确定关键连接点，形成基础形状。然后，使用缩放变换将这些形状放大或缩小，生成嵌套结构。最后，将这些形状组合成多边形区域，形成复杂的装饰图案。图案包含正方形、菱形、杏仁形和步行者形等元素，通过旋转、相交和缩放等变换规则精确连接，整体呈现对称且重复的装饰效果。
以上提示语为根据原始绘图命令整理而来，仅供参考。