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Flying Fish Transformation GeoGebra Example

Flying Fish Transformation GeoGebra Example
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2023-03-22 23:06
PolygonVectorCoordinate GeometryGeometric Construction
In collections geometriadinamica.es
This example demonstrates the creation of a complex flying fish pattern through a series of geometric transformations including rotation, reflection, dilation, and translation. The core mathematical concepts involved are vectors, polygon construction, similarity transformations, coordinate geometry, and geometric constructions. Key construction steps utilize commands and objects such as Polygon, LineBisector, Intersect, Vector, Rotate, Midpoint, Mirror, Dilate, Translate, Line, Length, Min, Point, and Circle. Suitable for high school mathematics education to showcase creative applications of geometric transformations and computational geometry methods.

GeoGebra Commands & Parameters

  1. If(a < 1, a, 1) → d1
  2. If(a < 1.2, 0, If[a < 2.2, a - 1.2, 1]) → d2
  3. If(a < 2.4, 0, If[a < 3.4, a - 2.4, 1]) → d3
  4. If(a < 3.4, 0, If[a < 4.4, a - 3.4, 1]) → d4
  5. If(a < 4.4, 0, If[a < 5.4, a - 4.4, 1]) → d5
  6. If(a < 5.5, 0, a - 5.5) → d6
  7. Polygon(C, D, 3) → poly1, b, d, e, E
  8. LineBisector(b) → f
  9. LineBisector(d) → g
  10. Intersect(f, g) → F
  11. Polygon(D, F, G, H, I, J, K, C) → poly2, d_1, f_1, g_1, h, i, j, k, c_1
  12. Vector(C, D) → l
  13. Vector(E, C) → m
  14. Rotate(F, ((-d1) * 240°), F) → F'
  15. Rotate(C, ((-d1) * 240°), F) → C'
  16. Rotate(K, ((-d1) * 240°), F) → K'
  17. Rotate(J, ((-d1) * 240°), F) → J'
  18. Rotate(I, ((-d1) * 240°), F) → I'
  19. Rotate(H, ((-d1) * 240°), F) → H'
  20. Rotate(G, ((-d1) * 240°), F) → G'
  21. Polygon(F', C', K', J', I', H', G') → poly3', f', c', k', j', i', h', g'
  22. Midpoint(C, D) → L
  23. Mirror(F', b) → F''
  24. Mirror(C', b) → C''
  25. Mirror(K', b) → K''
  26. Mirror(J', b) → J''
  27. Mirror(I', b) → I''
  28. Mirror(H', b) → H''
  29. Mirror(G', b) → G''
  30. Mirror(D, b) → D'
  31. Mirror(F, b) → F'_1
  32. Mirror(G, b) → G'_1
  33. Mirror(H, b) → H'_1
  34. Mirror(I, b) → I'_1
  35. Mirror(J, b) → J'_1
  36. Mirror(K, b) → K'_1
  37. Mirror(C, b) → C'_1
  38. Dilate(D', d2, L) → D''
  39. Dilate(F'_1, d2, L) → M
  40. Dilate(G'_1, d2, L) → N
  41. Dilate(H'_1, d2, L) → O
  42. Dilate(I'_1, d2, L) → P
  43. Dilate(J'_1, d2, L) → Q
  44. Dilate(K'_1, d2, L) → R
  45. Dilate(C'_1, d2, L) → S
  46. Dilate(F'', d2, L) → F'''
  47. Dilate(C'', d2, L) → C'''
  48. Dilate(K'', d2, L) → K'''
  49. Dilate(J'', d2, L) → J'''
  50. Dilate(I'', d2, L) → I'''
  51. Dilate(H'', d2, L) → H'''
  52. Dilate(G'', d2, L) → G'''
  53. Rotate(F', (d3 * 120°), F) → F''_1
  54. Rotate(C', (d3 * 120°), F) → C''_1
  55. Rotate(K', (d3 * 120°), F) → K''_1
  56. Rotate(J', (d3 * 120°), F) → J''_1
  57. Rotate(I', (d3 * 120°), F) → I''_1
  58. Rotate(H', (d3 * 120°), F) → H''_1
  59. Rotate(G', (d3 * 120°), F) → G''_1
  60. Polygon(F''_1, C''_1, K''_1, J''_1, I''_1, H''_1, G''_1) → poly3'', f''_1, c''_1, k''_1, j''_1, i''_1, h''_1, g''_1
  61. Rotate(D, (d3 * 120°), F) → D'_1
  62. Rotate(F, (d3 * 120°), F) → F'_2
  63. Rotate(G, (d3 * 120°), F) → G'_2
  64. Rotate(H, (d3 * 120°), F) → H'_2
  65. Rotate(I, (d3 * 120°), F) → I'_2
  66. Rotate(J, (d3 * 120°), F) → J'_2
  67. Rotate(K, (d3 * 120°), F) → K'_2
  68. Rotate(C, (d3 * 120°), F) → C'_2
  69. Polygon(D'_1, F'_2, G'_2, H'_2, I'_2, J'_2, K'_2, C'_2) → poly2', d'_1, f'_2, g'_2, h'_2, i'_2, j'_2, k'_2, c'_2
  70. Rotate(D'', (d3 * 120°), F) → D'''
  71. Rotate(M, (d3 * 120°), F) → M'
  72. Rotate(N, (d3 * 120°), F) → N'
  73. Rotate(O, (d3 * 120°), F) → O'
  74. Rotate(P, (d3 * 120°), F) → P'
  75. Rotate(Q, (d3 * 120°), F) → Q'
  76. Rotate(R, (d3 * 120°), F) → R'
  77. Rotate(S, (d3 * 120°), F) → S'
  78. Rotate(F''', (d3 * 120°), F) → T
  79. Rotate(C''', (d3 * 120°), F) → U
  80. Rotate(K''', (d3 * 120°), F) → V
  81. Rotate(J''', (d3 * 120°), F) → W
  82. Rotate(I''', (d3 * 120°), F) → Z
  83. Rotate(H''', (d3 * 120°), F) → A_1
  84. Rotate(G''', (d3 * 120°), F) → B_1
  85. Rotate(D'_1, (d4 * 120°), F) → C_1
  86. Rotate(F'_2, (d4 * 120°), F) → D_1
  87. Rotate(G'_2, (d4 * 120°), F) → E_1
  88. Rotate(H'_2, (d4 * 120°), F) → F_1
  89. Rotate(I'_2, (d4 * 120°), F) → G_1
  90. Rotate(J'_2, (d4 * 120°), F) → H_1
  91. Rotate(K'_2, (d4 * 120°), F) → I_1
  92. Rotate(C'_2, (d4 * 120°), F) → J_1
  93. Polygon(C_1, D_1, E_1, F_1, G_1, H_1, I_1, J_1) → poly2''_1, c_2, d_2, e_1, f_2, g_2, h_1, i_1, j_1
  94. Rotate(F''_1, (d4 * 120°), F) → K_1
  95. Rotate(C''_1, (d4 * 120°), F) → L_1
  96. Rotate(K''_1, (d4 * 120°), F) → M_1
  97. Rotate(J''_1, (d4 * 120°), F) → N_1
  98. Rotate(I''_1, (d4 * 120°), F) → O_1
  99. Rotate(H''_1, (d4 * 120°), F) → P_1
  100. Rotate(G''_1, (d4 * 120°), F) → Q_1
  101. Polygon(K_1, L_1, M_1, N_1, O_1, P_1, Q_1) → poly3'''_1, k_1, l_1, m_2, n_1, o_1, p_1, q_1
  102. Rotate(D''', (d4 * 120°), F) → R_1
  103. Rotate(M', (d4 * 120°), F) → M''
  104. Rotate(N', (d4 * 120°), F) → N''
  105. Rotate(O', (d4 * 120°), F) → O''
  106. Rotate(P', (d4 * 120°), F) → P''
  107. Rotate(Q', (d4 * 120°), F) → Q''
  108. Rotate(R', (d4 * 120°), F) → R''
  109. Rotate(S', (d4 * 120°), F) → S''
  110. Rotate(T, (d4 * 120°), F) → T'
  111. Rotate(U, (d4 * 120°), F) → U'
  112. Rotate(V, (d4 * 120°), F) → V'
  113. Rotate(W, (d4 * 120°), F) → W'
  114. Rotate(Z, (d4 * 120°), F) → Z'
  115. Rotate(A_1, (d4 * 120°), F) → S_1
  116. Rotate(B_1, (d4 * 120°), F) → T_1
  117. Translate(F''', v_1) → U_1
  118. Translate(C''', v_1) → V_1
  119. Translate(K''', v_1) → W_1
  120. Translate(J''', v_1) → Z_1
  121. Translate(I''', v_1) → A_2
  122. Translate(H''', v_1) → B_2
  123. Translate(G''', v_1) → C_2
  124. Translate(D'', v_1) → D'''_1
  125. Translate(M, v_1) → M'_1
  126. Translate(N, v_1) → N'_1
  127. Translate(O, v_1) → O'_1
  128. Translate(P, v_1) → P'_1
  129. Translate(Q, v_1) → Q'_1
  130. Translate(R, v_1) → R'_1
  131. Translate(S, v_1) → S'_1
  132. Translate(D, v_1) → D'_2
  133. Translate(F, v_1) → F'_3
  134. Translate(G, v_1) → G'_3
  135. Translate(H, v_1) → H'_3
  136. Translate(I, v_1) → I'_3
  137. Translate(J, v_1) → J'_3
  138. Translate(K, v_1) → K'_3
  139. Translate(C, v_1) → C'_3
  140. Polygon(D'_2, F'_3, G'_3, H'_3, I'_3, J'_3, K'_3, C'_3) → poly2'_1, d'_2, f'_3, g'_3, h'_3, i'_3, j'_3, k'_3, c'_3
  141. Translate(F', v_1) → F''_2
  142. Translate(C', v_1) → C''_2
  143. Translate(K', v_1) → K''_2
  144. Translate(J', v_1) → J''_2
  145. Translate(I', v_1) → I''_2
  146. Translate(H', v_1) → H''_2
  147. Translate(G', v_1) → G''_2
  148. Polygon(F''_2, C''_2, K''_2, J''_2, I''_2, H''_2, G''_2) → poly3''_1, f''_2, c''_2, k''_2, j''_2, i''_2, h''_2, g''_2
  149. Translate(D'_1, v_1) → D_2
  150. Translate(F'_2, v_1) → E_2
  151. Translate(G'_2, v_1) → F_2
  152. Translate(H'_2, v_1) → G_2
  153. Translate(I'_2, v_1) → H_2
  154. Translate(J'_2, v_1) → I_2
  155. Translate(K'_2, v_1) → J_2
  156. Translate(C'_2, v_1) → K_2
  157. Polygon(D_2, E_2, F_2, G_2, H_2, I_2, J_2, K_2) → poly2''_2, d_3, e_2, f_3, g_3, h_2, i_2, j_2, k_2
  158. Translate(D''', v_1) → L_2
  159. Translate(M', v_1) → M''_1
  160. Translate(N', v_1) → N''_1
  161. Translate(O', v_1) → O''_1
  162. Translate(P', v_1) → P''_1
  163. Translate(Q', v_1) → Q''_1
  164. Translate(R', v_1) → R''_1
  165. Translate(S', v_1) → S''_1
  166. Translate(T, v_1) → T'_1
  167. Translate(U, v_1) → U'_1
  168. Translate(V, v_1) → V'_1
  169. Translate(W, v_1) → W'_1
  170. Translate(Z, v_1) → Z'_1
  171. Translate(A_1, v_1) → M_2
  172. Translate(B_1, v_1) → N_2
  173. Translate(F''_1, v_1) → O_2
  174. Translate(C''_1, v_1) → P_2
  175. Translate(K''_1, v_1) → Q_2
  176. Translate(J''_1, v_1) → R_2
  177. Translate(I''_1, v_1) → S_2
  178. Translate(H''_1, v_1) → T_2
  179. Translate(G''_1, v_1) → U_2
  180. Polygon(O_2, P_2, Q_2, R_2, S_2, T_2, U_2) → poly3'''_2, o_2, p_2, q_2, r_2, s_2, t_2, u_2
  181. Translate(C_1, v_1) → V_2
  182. Translate(D_1, v_1) → W_2
  183. Translate(E_1, v_1) → Z_2
  184. Translate(F_1, v_1) → A_3
  185. Translate(G_1, v_1) → B_3
  186. Translate(H_1, v_1) → C_3
  187. Translate(I_1, v_1) → D_3
  188. Translate(J_1, v_1) → E_3
  189. Polygon(V_2, W_2, Z_2, A_3, B_3, C_3, D_3, E_3) → poly7, v_3, w_3, z_2, a_3, b_3, c_4, d_4, e_3
  190. Translate(K_1, v_1) → F_3
  191. Translate(L_1, v_1) → G_3
  192. Translate(M_1, v_1) → H_3
  193. Translate(N_1, v_1) → I_3
  194. Translate(O_1, v_1) → J_3
  195. Translate(P_1, v_1) → K_3
  196. Translate(Q_1, v_1) → L_3
  197. Polygon(F_3, G_3, H_3, I_3, J_3, K_3, L_3) → poly8, f_4, g_4, h_3, i_3, j_3, k_3, l_3
  198. Translate(R_1, v_1) → M_3
  199. Translate(M'', v_1) → M'''
  200. Translate(N'', v_1) → N'''
  201. Translate(O'', v_1) → O'''
  202. Translate(P'', v_1) → P'''
  203. Translate(Q'', v_1) → Q'''
  204. Translate(R'', v_1) → R'''
  205. Translate(S'', v_1) → S'''
  206. Translate(T', v_1) → T''
  207. Translate(U', v_1) → U''
  208. Translate(V', v_1) → V''
  209. Translate(W', v_1) → W''
  210. Translate(Z', v_1) → Z''
  211. Translate(S_1, v_1) → N_3
  212. Translate(T_1, v_1) → O_3
  213. Translate(U_1, w_1) → P_3
  214. Translate(V_1, w_1) → Q_3
  215. Translate(W_1, w_1) → R_3
  216. Translate(Z_1, w_1) → S_3
  217. Translate(A_2, w_1) → T_3
  218. Translate(B_2, w_1) → U_3
  219. Translate(C_2, w_1) → V_3
  220. Translate(D'''_1, w_1) → W_3
  221. Translate(M'_1, w_1) → Z_3
  222. Translate(N'_1, w_1) → A_4
  223. Translate(O'_1, w_1) → B_4
  224. Translate(P'_1, w_1) → C_4
  225. Translate(Q'_1, w_1) → D_4
  226. Translate(R'_1, w_1) → E_4
  227. Translate(S'_1, w_1) → F_4
  228. Translate(D'_2, w_1) → G_4
  229. Translate(F'_3, w_1) → H_4
  230. Translate(G'_3, w_1) → I_4
  231. Translate(H'_3, w_1) → J_4
  232. Translate(I'_3, w_1) → K_4
  233. Translate(J'_3, w_1) → L_4
  234. Translate(K'_3, w_1) → M_4
  235. Translate(C'_3, w_1) → N_4
  236. Polygon(G_4, H_4, I_4, J_4, K_4, L_4, M_4, N_4) → poly11, g_5, h_4, i_4, j_4, k_4, l_4, m_5, n_4
  237. Translate(F''_2, w_1) → O_4
  238. Translate(C''_2, w_1) → P_4
  239. Translate(K''_2, w_1) → Q_4
  240. Translate(J''_2, w_1) → R_4
  241. Translate(I''_2, w_1) → S_4
  242. Translate(H''_2, w_1) → T_4
  243. Translate(G''_2, w_1) → U_4
  244. Polygon(O_4, P_4, Q_4, R_4, S_4, T_4, U_4) → poly12, o_4, p_4, q_4, r_4, s_4, t_4, u_4
  245. Translate(T'_1, w_1) → V_4
  246. Translate(U'_1, w_1) → W_4
  247. Translate(V'_1, w_1) → Z_4
  248. Translate(W'_1, w_1) → A_5
  249. Translate(Z'_1, w_1) → B_5
  250. Translate(M_2, w_1) → C_5
  251. Translate(N_2, w_1) → D_5
  252. Translate(L_2, w_1) → E_5
  253. Translate(M''_1, w_1) → F_5
  254. Translate(N''_1, w_1) → G_5
  255. Translate(O''_1, w_1) → H_5
  256. Translate(P''_1, w_1) → I_5
  257. Translate(Q''_1, w_1) → J_5
  258. Translate(R''_1, w_1) → K_5
  259. Translate(S''_1, w_1) → L_5
  260. Translate(D_2, w_1) → M_5
  261. Translate(E_2, w_1) → N_5
  262. Translate(F_2, w_1) → O_5
  263. Translate(G_2, w_1) → P_5
  264. Translate(H_2, w_1) → Q_5
  265. Translate(I_2, w_1) → R_5
  266. Translate(J_2, w_1) → S_5
  267. Translate(K_2, w_1) → T_5
  268. Polygon(M_5, N_5, O_5, P_5, Q_5, R_5, S_5, T_5) → poly14, m_6, n_5, o_5, p_5, q_5, r_5, s_5, t_5
  269. Translate(O_2, w_1) → U_5
  270. Translate(P_2, w_1) → V_5
  271. Translate(Q_2, w_1) → W_5
  272. Translate(R_2, w_1) → Z_5
  273. Translate(S_2, w_1) → A_6
  274. Translate(T_2, w_1) → B_6
  275. Translate(U_2, w_1) → C_6
  276. Polygon(U_5, V_5, W_5, Z_5, A_6, B_6, C_6) → poly15, u_5, v_6, w_6, z_5, a_6, b_6, c_7
  277. Translate(F_3, w_1) → D_6
  278. Translate(G_3, w_1) → E_6
  279. Translate(H_3, w_1) → F_6
  280. Translate(I_3, w_1) → G_6
  281. Translate(J_3, w_1) → H_6
  282. Translate(K_3, w_1) → I_6
  283. Translate(L_3, w_1) → J_6
  284. Polygon(D_6, E_6, F_6, G_6, H_6, I_6, J_6) → poly8', d_7, e_6, f_7, g_7, h_6, i_6, j_6
  285. Translate(V_2, w_1) → K_6
  286. Translate(W_2, w_1) → L_6
  287. Translate(Z_2, w_1) → M_6
  288. Translate(A_3, w_1) → N_6
  289. Translate(B_3, w_1) → O_6
  290. Translate(C_3, w_1) → P_6
  291. Translate(D_3, w_1) → Q_6
  292. Translate(E_3, w_1) → R_6
  293. Polygon(K_6, L_6, M_6, N_6, O_6, P_6, Q_6, R_6) → poly7', k_6, l_6, m_7, n_6, o_6, p_6, q_6, r_6
  294. Translate(M_3, w_1) → S_6
  295. Translate(M''', w_1) → T_6
  296. Translate(N''', w_1) → U_6
  297. Translate(O''', w_1) → V_6
  298. Translate(P''', w_1) → W_6
  299. Translate(Q''', w_1) → Z_6
  300. Translate(R''', w_1) → A_7
  301. Translate(S''', w_1) → B_7
  302. Translate(T'', w_1) → T'''
  303. Translate(U'', w_1) → U'''
  304. Translate(V'', w_1) → V'''
  305. Translate(W'', w_1) → W'''
  306. Translate(Z'', w_1) → Z'''
  307. Translate(N_3, w_1) → C_7
  308. Translate(O_3, w_1) → D_7
  309. Mirror(D', f) → D''_1
  310. LineBisector(E, D''_1) → e_7
  311. Vector(D''_1, D') → u_7
  312. Vector(D''_1, E) → z_7
  313. Translate(D', u_7) → D''_2
  314. Vector(D''_2, D') → h_7
  315. Vector(E, D') → i_7
  316. Translate(D''_1, h_7) → E_7
  317. Translate(E, h_7) → E'
  318. Translate(E', h_7) → E''
  319. Translate(D''_1, i_7) → F_7
  320. Translate(D', i_7) → D''_3
  321. Mirror(D''_3, F_7) → G_7
  322. Mirror(D''_2, D''_3) → H_7
  323. Mirror(F_7, D') → I_7
  324. Mirror(E_7, E') → J_7
  325. Line(E', I_7) → j_7
  326. Line(D''_2, D''_1) → k_7
  327. Line(G_7, D''_3) → l_7
  328. Line(D''_3, E) → n_7
  329. Line(E', F_7) → p_7
  330. Line(G_7, E) → q_7
  331. Line(I_7, F_7) → r_7
  332. Line(D''_2, D''_3) → s_7
  333. Line(E_7, G_7) → t_7
  334. Line(I_7, D''_2) → a_8
  335. Line(E_7, E') → b_8
  336. Midpoint(E, D') → K_7
  337. Midpoint(E, E') → L_7
  338. Midpoint(D''_2, D') → M_7
  339. Line(L_7, q_7) → e_8
  340. Line(K_7, q_7) → f_8
  341. Line(M_7, r_7) → g_8
  342. Line(M_7, a_8) → h_8
  343. Line(L_7, h_8) → i_8
  344. Line(K_7, k_7) → j_8
  345. Midpoint(D''_1, E_7) → N_7
  346. Midpoint(G_7, E_7) → O_7
  347. Line(O_7, k_7) → k_8
  348. Line(N_7, i_8) → l_8
  349. Mirror(D'_1, n_7) → P_7
  350. Mirror(F'_2, n_7) → Q_7
  351. Mirror(G'_2, n_7) → R_7
  352. Mirror(H'_2, n_7) → S_7
  353. Mirror(I'_2, n_7) → T_7
  354. Mirror(J'_2, n_7) → U_7
  355. Mirror(K'_2, n_7) → V_7
  356. Mirror(C'_2, n_7) → W_7
  357. Polygon(P_7, Q_7, R_7, S_7, T_7, U_7, V_7, W_7) → poly2'', p_3, q_3, r_1, s_1, t_1, u_1, v_7, w_7
  358. Mirror(F''_1, n_7) → Z_7
  359. Mirror(C''_1, n_7) → A_8
  360. Mirror(K''_1, n_7) → B_8
  361. Mirror(J''_1, n_7) → C_8
  362. Mirror(I''_1, n_7) → D_8
  363. Mirror(H''_1, n_7) → E_8
  364. Mirror(G''_1, n_7) → F_8
  365. Polygon(Z_7, A_8, B_8, C_8, D_8, E_8, F_8) → poly3''', z_1, a_1, b_1, c_8, d_8, e_4, f_5
  366. Mirror(C_1, q_7) → G_8
  367. Mirror(D_1, q_7) → H_8
  368. Mirror(E_1, q_7) → I_8
  369. Mirror(F_1, q_7) → J_8
  370. Mirror(G_1, q_7) → K_8
  371. Mirror(H_1, q_7) → L_8
  372. Mirror(I_1, q_7) → M_8
  373. Mirror(J_1, q_7) → N_8
  374. Polygon(G_8, H_8, I_8, J_8, K_8, L_8, M_8, N_8) → poly3, g_6, h_5, i_5, j_5, k_5, l_2, m_8, n_8
  375. Mirror(K_1, q_7) → O_8
  376. Mirror(L_1, q_7) → P_8
  377. Mirror(M_1, q_7) → Q_8
  378. Mirror(N_1, q_7) → R_8
  379. Mirror(O_1, q_7) → S_8
  380. Mirror(P_1, q_7) → T_8
  381. Mirror(Q_1, q_7) → U_8
  382. Polygon(O_8, P_8, Q_8, R_8, S_8, T_8, U_8) → poly4, o_8, p_8, q_8, r_8, s_8, t_8, u_8
  383. Mirror(D, k_7) → D'_3
  384. Mirror(F, k_7) → F'_4
  385. Mirror(G, k_7) → G'_4
  386. Mirror(H, k_7) → H'_4
  387. Mirror(I, k_7) → I'_4
  388. Mirror(J, k_7) → J'_4
  389. Mirror(K, k_7) → K'_4
  390. Mirror(C, k_7) → C'_4
  391. Polygon(D'_3, F'_4, G'_4, H'_4, I'_4, J'_4, K'_4, C'_4) → poly2'_2, d'_3, f'_4, g'_4, h'_4, i'_4, j'_4, k'_4, c'_4
  392. Mirror(F', k_7) → F''_3
  393. Mirror(C', k_7) → C''_3
  394. Mirror(K', k_7) → K''_3
  395. Mirror(J', k_7) → J''_3
  396. Mirror(I', k_7) → I''_3
  397. Mirror(H', k_7) → H''_3
  398. Mirror(G', k_7) → G''_3
  399. Polygon(F''_3, C''_3, K''_3, J''_3, I''_3, H''_3, G''_3) → poly3''_2, f''_3, c''_3, k''_3, j''_3, i''_3, h''_3, g''_3
  400. Mirror(K_6, r_7) → V_8
  401. Mirror(L_6, r_7) → W_8
  402. Mirror(M_6, r_7) → Z_8
  403. Mirror(N_6, r_7) → A_9
  404. Mirror(O_6, r_7) → B_9
  405. Mirror(P_6, r_7) → C_9
  406. Mirror(Q_6, r_7) → D_9
  407. Mirror(R_6, r_7) → E_9
  408. Polygon(V_8, W_8, Z_8, A_9, B_9, C_9, D_9, E_9) → poly7'', v_8, w_8, z_8, a_9, b_9, c_9, d_9, e_9
  409. Mirror(D_6, r_7) → F_9
  410. Mirror(E_6, r_7) → G_9
  411. Mirror(F_6, r_7) → H_9
  412. Mirror(G_6, r_7) → I_9
  413. Mirror(H_6, r_7) → J_9
  414. Mirror(I_6, r_7) → K_9
  415. Mirror(J_6, r_7) → L_9
  416. Polygon(F_9, G_9, H_9, I_9, J_9, K_9, L_9) → poly8'', f_9, g_9, h_9, i_9, j_9, k_9, l_9
  417. Mirror(G_4, l_7) → M_9
  418. Mirror(H_4, l_7) → N_9
  419. Mirror(I_4, l_7) → O_9
  420. Mirror(J_4, l_7) → P_9
  421. Mirror(K_4, l_7) → Q_9
  422. Mirror(L_4, l_7) → R_9
  423. Mirror(M_4, l_7) → S_9
  424. Mirror(N_4, l_7) → T_9
  425. Polygon(M_9, N_9, O_9, P_9, Q_9, R_9, S_9, T_9) → poly11', m_9, n_9, o_9, p_9, q_9, r_9, s_9, t_9
  426. Mirror(O_4, l_7) → U_9
  427. Mirror(P_4, l_7) → V_9
  428. Mirror(Q_4, l_7) → W_9
  429. Mirror(R_4, l_7) → Z_9
  430. Mirror(S_4, l_7) → A_{10}
  431. Mirror(T_4, l_7) → B_{10}
  432. Mirror(U_4, l_7) → C_{10}
  433. Polygon(U_9, V_9, W_9, Z_9, A_{10}, B_{10}, C_{10}) → poly12', u_9, v_9, w_9, z_9, a_{10}, b_{10}, c_{10}
  434. Mirror(M_5, n_7) → D_{10}
  435. Mirror(N_5, n_7) → E_{10}
  436. Mirror(O_5, n_7) → F_{10}
  437. Mirror(P_5, n_7) → G_{10}
  438. Mirror(Q_5, n_7) → H_{10}
  439. Mirror(R_5, n_7) → I_{10}
  440. Mirror(S_5, n_7) → J_{10}
  441. Mirror(T_5, n_7) → K_{10}
  442. Polygon(D_{10}, E_{10}, F_{10}, G_{10}, H_{10}, I_{10}, J_{10}, K_{10}) → poly14', d_{10}, e_{10}, f_{10}, g_{10}, h_{10}, i_{10}, j_{10}, k_{10}
  443. Mirror(U_5, n_7) → L_{10}
  444. Mirror(V_5, n_7) → M_{10}
  445. Mirror(W_5, n_7) → N_{10}
  446. Mirror(Z_5, n_7) → O_{10}
  447. Mirror(A_6, n_7) → P_{10}
  448. Mirror(B_6, n_7) → Q_{10}
  449. Mirror(C_6, n_7) → R_{10}
  450. Polygon(L_{10}, M_{10}, N_{10}, O_{10}, P_{10}, Q_{10}, R_{10}) → poly15', l_{10}, m_{10}, n_{10}, o_{10}, p_{10}, q_{10}, r_{10}
  451. Mirror(D'_2, k_7) → S_{10}
  452. Mirror(F'_3, k_7) → T_{10}
  453. Mirror(G'_3, k_7) → U_{10}
  454. Mirror(H'_3, k_7) → V_{10}
  455. Mirror(I'_3, k_7) → W_{10}
  456. Mirror(J'_3, k_7) → Z_{10}
  457. Mirror(K'_3, k_7) → A_{11}
  458. Mirror(C'_3, k_7) → B_{11}
  459. Polygon(S_{10}, T_{10}, U_{10}, V_{10}, W_{10}, Z_{10}, A_{11}, B_{11}) → poly5, s_{10}, t_{10}, u_{10}, v_{10}, w_{10}, z_{10}, a_{11}, b_{11}
  460. Mirror(F''_2, k_7) → C_{11}
  461. Mirror(C''_2, k_7) → D_{11}
  462. Mirror(K''_2, k_7) → E_{11}
  463. Mirror(J''_2, k_7) → F_{11}
  464. Mirror(I''_2, k_7) → G_{11}
  465. Mirror(H''_2, k_7) → H_{11}
  466. Mirror(G''_2, k_7) → I_{11}
  467. Polygon(C_{11}, D_{11}, E_{11}, F_{11}, G_{11}, H_{11}, I_{11}) → poly6, c_{11}, d_{11}, e_{11}, f_{11}, g_{11}, h_{11}, i_{11}
  468. Mirror(D_2, a_8) → J_{11}
  469. Mirror(E_2, a_8) → K_{11}
  470. Mirror(F_2, a_8) → L_{11}
  471. Mirror(G_2, a_8) → M_{11}
  472. Mirror(H_2, a_8) → N_{11}
  473. Mirror(I_2, a_8) → O_{11}
  474. Mirror(J_2, a_8) → P_{11}
  475. Mirror(K_2, a_8) → Q_{11}
  476. Polygon(J_{11}, K_{11}, L_{11}, M_{11}, N_{11}, O_{11}, P_{11}, Q_{11}) → poly9, j_{11}, k_{11}, l_{11}, m_{11}, n_{11}, o_{11}, p_{11}, q_{11}
  477. Mirror(O_2, a_8) → R_{11}
  478. Mirror(P_2, a_8) → S_{11}
  479. Mirror(Q_2, a_8) → T_{11}
  480. Mirror(R_2, a_8) → U_{11}
  481. Mirror(S_2, a_8) → V_{11}
  482. Mirror(T_2, a_8) → W_{11}
  483. Mirror(U_2, a_8) → Z_{11}
  484. Polygon(R_{11}, S_{11}, T_{11}, U_{11}, V_{11}, W_{11}, Z_{11}) → poly10, r_{11}, s_{11}, t_{11}, u_{11}, v_{11}, w_{11}, z_{11}
  485. Mirror(V_2, r_7) → A_{12}
  486. Mirror(W_2, r_7) → B_{12}
  487. Mirror(Z_2, r_7) → C_{12}
  488. Mirror(A_3, r_7) → D_{12}
  489. Mirror(B_3, r_7) → E_{12}
  490. Mirror(C_3, r_7) → F_{12}
  491. Mirror(D_3, r_7) → G_{12}
  492. Mirror(E_3, r_7) → H_{12}
  493. Polygon(A_{12}, B_{12}, C_{12}, D_{12}, E_{12}, F_{12}, G_{12}, H_{12}) → poly7'_1, a_{12}, b_{12}, c_{12}, d_{12}, e_{12}, f_{12}, g_{12}, h_{12}
  494. Mirror(F_3, r_7) → I_{12}
  495. Mirror(G_3, r_7) → J_{12}
  496. Mirror(H_3, r_7) → K_{12}
  497. Mirror(I_3, r_7) → L_{12}
  498. Mirror(J_3, r_7) → M_{12}
  499. Mirror(K_3, r_7) → N_{12}
  500. Mirror(L_3, r_7) → O_{12}
  501. Polygon(I_{12}, J_{12}, K_{12}, L_{12}, M_{12}, N_{12}, O_{12}) → poly8'_1, i_{12}, j_{12}, k_{12}, l_{12}, m_{12}, n_{12}, o_{12}
  502. Mirror(S_{10}, i_8) → P_{12}
  503. Mirror(T_{10}, i_8) → Q_{12}
  504. Mirror(U_{10}, i_8) → R_{12}
  505. Mirror(V_{10}, i_8) → S_{12}
  506. Mirror(W_{10}, i_8) → T_{12}
  507. Mirror(Z_{10}, i_8) → U_{12}
  508. Mirror(A_{11}, i_8) → V_{12}
  509. Mirror(B_{11}, i_8) → W_{12}
  510. Polygon(P_{12}, Q_{12}, R_{12}, S_{12}, T_{12}, U_{12}, V_{12}, W_{12}) → poly5', p_{12}, q_{12}, r_{12}, s_{12}, t_{12}, u_{12}, v_{12}, w_{12}
  511. Mirror(D'_2, i_8) → Z_{12}
  512. Mirror(F'_3, i_8) → A_{13}
  513. Mirror(G'_3, i_8) → B_{13}
  514. Mirror(H'_3, i_8) → C_{13}
  515. Mirror(I'_3, i_8) → D_{13}
  516. Mirror(J'_3, i_8) → E_{13}
  517. Mirror(K'_3, i_8) → F_{13}
  518. Mirror(C'_3, i_8) → G_{13}
  519. Polygon(Z_{12}, A_{13}, B_{13}, C_{13}, D_{13}, E_{13}, F_{13}, G_{13}) → poly13, z_{12}, a_{13}, b_{13}, c_{13}, d_{13}, e_{13}, f_{13}, g_{13}
  520. Mirror(F''_2, i_8) → H_{13}
  521. Mirror(C''_2, i_8) → I_{13}
  522. Mirror(K''_2, i_8) → J_{13}
  523. Mirror(J''_2, i_8) → K_{13}
  524. Mirror(I''_2, i_8) → L_{13}
  525. Mirror(H''_2, i_8) → M_{13}
  526. Mirror(G''_2, i_8) → N_{13}
  527. Polygon(H_{13}, I_{13}, J_{13}, K_{13}, L_{13}, M_{13}, N_{13}) → poly16, h_{13}, i_{13}, j_{13}, k_{13}, l_{13}, m_{13}, n_{13}
  528. Mirror(C_{11}, i_8) → O_{13}
  529. Mirror(D_{11}, i_8) → P_{13}
  530. Mirror(E_{11}, i_8) → Q_{13}
  531. Mirror(F_{11}, i_8) → R_{13}
  532. Mirror(G_{11}, i_8) → S_{13}
  533. Mirror(H_{11}, i_8) → T_{13}
  534. Mirror(I_{11}, i_8) → U_{13}
  535. Polygon(O_{13}, P_{13}, Q_{13}, R_{13}, S_{13}, T_{13}, U_{13}) → poly6', o_{13}, p_{13}, q_{13}, r_{13}, s_{13}, t_{13}, u_{13}
  536. Mirror(R_{11}, i_8) → V_{13}
  537. Mirror(S_{11}, i_8) → W_{13}
  538. Mirror(T_{11}, i_8) → Z_{13}
  539. Mirror(U_{11}, i_8) → A_{14}
  540. Mirror(V_{11}, i_8) → B_{14}
  541. Mirror(W_{11}, i_8) → C_{14}
  542. Mirror(Z_{11}, i_8) → D_{14}
  543. Polygon(V_{13}, W_{13}, Z_{13}, A_{14}, B_{14}, C_{14}, D_{14}) → poly10', v_{13}, w_{13}, z_{13}, a_{14}, b_{14}, c_{14}, d_{14}
  544. Mirror(J_{11}, i_8) → E_{14}
  545. Mirror(K_{11}, i_8) → F_{14}
  546. Mirror(L_{11}, i_8) → G_{14}
  547. Mirror(M_{11}, i_8) → H_{14}
  548. Mirror(N_{11}, i_8) → I_{14}
  549. Mirror(O_{11}, i_8) → J_{14}
  550. Mirror(P_{11}, i_8) → K_{14}
  551. Mirror(Q_{11}, i_8) → L_{14}
  552. Polygon(E_{14}, F_{14}, G_{14}, H_{14}, I_{14}, J_{14}, K_{14}, L_{14}) → poly9', e_{14}, f_{14}, g_{14}, h_{14}, i_{14}, j_{14}, k_{14}, l_{14}
  553. Mirror(O_2, h_8) → M_{14}
  554. Mirror(P_2, h_8) → N_{14}
  555. Mirror(Q_2, h_8) → O_{14}
  556. Mirror(R_2, h_8) → P_{14}
  557. Mirror(S_2, h_8) → Q_{14}
  558. Mirror(T_2, h_8) → R_{14}
  559. Mirror(U_2, h_8) → S_{14}
  560. Mirror(O_2, i_8) → T_{14}
  561. Mirror(P_2, i_8) → U_{14}
  562. Mirror(Q_2, i_8) → V_{14}
  563. Mirror(R_2, i_8) → W_{14}
  564. Mirror(S_2, i_8) → Z_{14}
  565. Mirror(T_2, i_8) → A_{15}
  566. Mirror(U_2, i_8) → B_{15}
  567. Polygon(T_{14}, U_{14}, V_{14}, W_{14}, Z_{14}, A_{15}, B_{15}) → poly18, t_{14}, u_{14}, v_{14}, w_{14}, z_{14}, a_{15}, b_{15}
  568. Mirror(D_2, i_8) → C_{15}
  569. Mirror(E_2, i_8) → D_{15}
  570. Mirror(F_2, i_8) → E_{15}
  571. Mirror(G_2, i_8) → F_{15}
  572. Mirror(H_2, i_8) → G_{15}
  573. Mirror(I_2, i_8) → H_{15}
  574. Mirror(J_2, i_8) → I_{15}
  575. Mirror(K_2, i_8) → J_{15}
  576. Polygon(C_{15}, D_{15}, E_{15}, F_{15}, G_{15}, H_{15}, I_{15}, J_{15}) → poly19, c_{15}, d_{15}, e_{15}, f_{15}, g_{15}, h_{15}, i_{15}, j_{15}
  577. Mirror(V_2, i_8) → K_{15}
  578. Mirror(W_2, i_8) → L_{15}
  579. Mirror(Z_2, i_8) → M_{15}
  580. Mirror(A_3, i_8) → N_{15}
  581. Mirror(B_3, i_8) → O_{15}
  582. Mirror(C_3, i_8) → P_{15}
  583. Mirror(D_3, i_8) → Q_{15}
  584. Mirror(E_3, i_8) → R_{15}
  585. Polygon(K_{15}, L_{15}, M_{15}, N_{15}, O_{15}, P_{15}, Q_{15}, R_{15}) → poly7'_2, k_{15}, l_{15}, m_{15}, n_{15}, o_{15}, p_{15}, q_{15}, r_{15}
  586. Mirror(F_3, i_8) → S_{15}
  587. Mirror(G_3, i_8) → T_{15}
  588. Mirror(H_3, i_8) → U_{15}
  589. Mirror(I_3, i_8) → V_{15}
  590. Mirror(J_3, i_8) → W_{15}
  591. Mirror(K_3, i_8) → Z_{15}
  592. Mirror(L_3, i_8) → A_{16}
  593. Polygon(S_{15}, T_{15}, U_{15}, V_{15}, W_{15}, Z_{15}, A_{16}) → poly8'_2, s_{15}, t_{15}, u_{15}, v_{15}, w_{15}, z_{15}, a_{16}
  594. Mirror(A_{12}, i_8) → B_{16}
  595. Mirror(B_{12}, i_8) → C_{16}
  596. Mirror(C_{12}, i_8) → D_{16}
  597. Mirror(D_{12}, i_8) → E_{16}
  598. Mirror(E_{12}, i_8) → F_{16}
  599. Mirror(F_{12}, i_8) → G_{16}
  600. Mirror(G_{12}, i_8) → H_{16}
  601. Mirror(H_{12}, i_8) → I_{16}
  602. Polygon(B_{16}, C_{16}, D_{16}, E_{16}, F_{16}, G_{16}, H_{16}, I_{16}) → poly17, b_{16}, c_{16}, d_{16}, e_{16}, f_{16}, g_{16}, h_{16}, i_{16}
  603. Mirror(I_{12}, i_8) → J_{16}
  604. Mirror(J_{12}, i_8) → K_{16}
  605. Mirror(K_{12}, i_8) → L_{16}
  606. Mirror(L_{12}, i_8) → M_{16}
  607. Mirror(M_{12}, i_8) → N_{16}
  608. Mirror(N_{12}, i_8) → O_{16}
  609. Mirror(O_{12}, i_8) → P_{16}
  610. Polygon(J_{16}, K_{16}, L_{16}, M_{16}, N_{16}, O_{16}, P_{16}) → poly20, j_{16}, k_{16}, l_{16}, m_{16}, n_{16}, o_{16}, p_{16}
  611. Midpoint(E', D''_1) → E_{17}
  612. Vector(E_{17}, E') → u
  613. Length(u) → z1
  614. Min(z1, ((n - 0.5) * z1)) → z2
  615. Point(h_8) → F_{17}
  616. Circle(F_{17}, z2) → p
  617. Intersect(p, h_8, 1) → G_{17}
  618. Vector(F_{17}, G_{17}) → w
  619. Translate(J_{16}, w) → H_{17}
  620. Translate(K_{16}, w) → I_{17}
  621. Translate(L_{16}, w) → J_{17}
  622. Translate(M_{16}, w) → K_{17}
  623. Translate(N_{16}, w) → L_{17}
  624. Translate(O_{16}, w) → M_{17}
  625. Translate(P_{16}, w) → N_{17}
  626. Polygon(H_{17}, I_{17}, J_{17}, K_{17}, L_{17}, M_{17}, N_{17}) → poly20', h_{17}, i_{17}, j_{17}, k_{17}, l_{17}, m_{17}, n_{17}
  627. Translate(B_{16}, w) → O_{17}
  628. Translate(C_{16}, w) → P_{17}
  629. Translate(D_{16}, w) → Q_{17}
  630. Translate(E_{16}, w) → R_{17}
  631. Translate(F_{16}, w) → S_{17}
  632. Translate(G_{16}, w) → T_{17}
  633. Translate(H_{16}, w) → U_{17}
  634. Translate(I_{16}, w) → V_{17}
  635. Polygon(O_{17}, P_{17}, Q_{17}, R_{17}, S_{17}, T_{17}, U_{17}, V_{17}) → poly17', o_{17}, p_{17}, q_{17}, r_{17}, s_{17}, t_{17}, u_{17}, v_{17}
  636. Translate(K_{15}, w) → W_{17}
  637. Translate(L_{15}, w) → Z_{17}
  638. Translate(M_{15}, w) → A_{18}
  639. Translate(N_{15}, w) → B_{18}
  640. Translate(O_{15}, w) → C_{18}
  641. Translate(P_{15}, w) → D_{18}
  642. Translate(Q_{15}, w) → E_{18}
  643. Translate(R_{15}, w) → F_{18}
  644. Polygon(W_{17}, Z_{17}, A_{18}, B_{18}, C_{18}, D_{18}, E_{18}, F_{18}) → poly21, w_{17}, z_{17}, a_{18}, b_{18}, c_{18}, d_{18}, e_{18}, f_{18}
  645. Translate(S_{15}, w) → G_{18}
  646. Translate(T_{15}, w) → H_{18}
  647. Translate(U_{15}, w) → I_{18}
  648. Translate(V_{15}, w) → J_{18}
  649. Translate(W_{15}, w) → K_{18}
  650. Translate(Z_{15}, w) → L_{18}
  651. Translate(A_{16}, w) → M_{18}
  652. Polygon(G_{18}, H_{18}, I_{18}, J_{18}, K_{18}, L_{18}, M_{18}) → poly22, g_{18}, h_{18}, i_{18}, j_{18}, k_{18}, l_{18}, m_{18}
  653. Translate(T_{14}, w) → N_{18}
  654. Translate(U_{14}, w) → O_{18}
  655. Translate(V_{14}, w) → P_{18}
  656. Translate(W_{14}, w) → Q_{18}
  657. Translate(Z_{14}, w) → R_{18}
  658. Translate(A_{15}, w) → S_{18}
  659. Translate(B_{15}, w) → T_{18}
  660. Polygon(N_{18}, O_{18}, P_{18}, Q_{18}, R_{18}, S_{18}, T_{18}) → poly18', n_{18}, o_{18}, p_{18}, q_{18}, r_{18}, s_{18}, t_{18}
  661. Translate(C_{15}, w) → U_{18}
  662. Translate(D_{15}, w) → V_{18}
  663. Translate(E_{15}, w) → W_{18}
  664. Translate(F_{15}, w) → Z_{18}
  665. Translate(G_{15}, w) → A_{19}
  666. Translate(H_{15}, w) → B_{19}
  667. Translate(I_{15}, w) → C_{19}
  668. Translate(J_{15}, w) → D_{19}
  669. Polygon(U_{18}, V_{18}, W_{18}, Z_{18}, A_{19}, B_{19}, C_{19}, D_{19}) → poly19', u_{18}, v_{18}, w_{18}, z_{18}, a_{19}, b_{19}, c_{19}, d_{19}
  670. Translate(E_{14}, w) → E_{19}
  671. Translate(F_{14}, w) → F_{19}
  672. Translate(G_{14}, w) → G_{19}
  673. Translate(H_{14}, w) → H_{19}
  674. Translate(I_{14}, w) → I_{19}
  675. Translate(J_{14}, w) → J_{19}
  676. Translate(K_{14}, w) → K_{19}
  677. Translate(L_{14}, w) → L_{19}
  678. Polygon(E_{19}, F_{19}, G_{19}, H_{19}, I_{19}, J_{19}, K_{19}, L_{19}) → poly9'', e_{19}, f_{19}, g_{19}, h_{19}, i_{19}, j_{19}, k_{19}, l_{19}
  679. Translate(V_{13}, w) → M_{19}
  680. Translate(W_{13}, w) → N_{19}
  681. Translate(Z_{13}, w) → O_{19}
  682. Translate(A_{14}, w) → P_{19}
  683. Translate(B_{14}, w) → Q_{19}
  684. Translate(C_{14}, w) → R_{19}
  685. Translate(D_{14}, w) → S_{19}
  686. Polygon(M_{19}, N_{19}, O_{19}, P_{19}, Q_{19}, R_{19}, S_{19}) → poly10'', m_{19}, n_{19}, o_{19}, p_{19}, q_{19}, r_{19}, s_{19}
  687. Translate(Z_{12}, w) → T_{19}
  688. Translate(A_{13}, w) → U_{19}
  689. Translate(B_{13}, w) → V_{19}
  690. Translate(C_{13}, w) → W_{19}
  691. Translate(D_{13}, w) → Z_{19}
  692. Translate(E_{13}, w) → A_{20}
  693. Translate(F_{13}, w) → B_{20}
  694. Translate(G_{13}, w) → C_{20}
  695. Polygon(T_{19}, U_{19}, V_{19}, W_{19}, Z_{19}, A_{20}, B_{20}, C_{20}) → poly13', t_{19}, u_{19}, v_{19}, w_{19}, z_{19}, a_{20}, b_{20}, c_{20}
  696. Translate(H_{13}, w) → D_{20}
  697. Translate(I_{13}, w) → E_{20}
  698. Translate(J_{13}, w) → F_{20}
  699. Translate(K_{13}, w) → G_{20}
  700. Translate(L_{13}, w) → H_{20}
  701. Translate(M_{13}, w) → I_{20}
  702. Translate(N_{13}, w) → J_{20}
  703. Polygon(D_{20}, E_{20}, F_{20}, G_{20}, H_{20}, I_{20}, J_{20}) → poly16', d_{20}, e_{20}, f_{20}, g_{20}, h_{20}, i_{20}, j_{20}
  704. Translate(P_{12}, w) → K_{20}
  705. Translate(Q_{12}, w) → L_{20}
  706. Translate(R_{12}, w) → M_{20}
  707. Translate(S_{12}, w) → N_{20}
  708. Translate(T_{12}, w) → O_{20}
  709. Translate(U_{12}, w) → P_{20}
  710. Translate(V_{12}, w) → Q_{20}
  711. Translate(W_{12}, w) → R_{20}
  712. Polygon(K_{20}, L_{20}, M_{20}, N_{20}, O_{20}, P_{20}, Q_{20}, R_{20}) → poly5'', k_{20}, l_{20}, m_{20}, n_{20}, o_{20}, p_{20}, q_{20}, r_{20}
  713. Translate(O_{13}, w) → S_{20}
  714. Translate(P_{13}, w) → T_{20}
  715. Translate(Q_{13}, w) → U_{20}
  716. Translate(R_{13}, w) → V_{20}
  717. Translate(S_{13}, w) → W_{20}
  718. Translate(T_{13}, w) → Z_{20}
  719. Translate(U_{13}, w) → A_{21}
  720. Polygon(S_{20}, T_{20}, U_{20}, V_{20}, W_{20}, Z_{20}, A_{21}) → poly6'', s_{20}, t_{20}, u_{20}, v_{20}, w_{20}, z_{20}, a_{21}
  721. Midpoint(D''_1, F_7) → B_{21}
  722. Vector(B_{21}, D''_1) → z
  723. Circle(Q_{16}, D''_2) → q
  724. Circle(C_{21}, F_7) → r
  725. Point(i_8) → D_{21}
  726. Point(i_8) → E_{21}
  727. Line(D_{21}, E_{21}) → s
  728. Translate(C_{21}, w) → F_{21}
  729. Translate(F_7, w) → G_{21}
  730. Circle(F_{21}, G_{21}) → t

AI Drawing Prompt Reference

Create a flying fish pattern through geometric transformations: start with a base triangle, find its circumcenter, then rotate points around this center to form a new polygon. Mirror the entire configuration across one side of the original triangle, and finally dilate the reflected figure from the midpoint of a triangle edge. Use parameters to control rotation angles and scale factors for dynamic pattern generation.
The prompt above was compiled from the original drawing commands and is for reference only.