4.20 p4m Alhambra Rhombus

4.20 p4m Alhambra Rhombus
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2023-03-22 23:12
In collections geometriadinamica.es
This example demonstrates the geometric construction of 4.20 p4m Alhambra rhombus. Key mathematical concepts include rhombus, parallelogram, and geometric transformations. Using GeoGebra commands such as Line, Point, OrthogonalLine, Intersect, etc., the rhombus is constructed and its properties are illustrated. Suitable for high school geometry education and learning.

GeoGebra Commands & Parameters

  1. Line(A, B) → b
  2. Line(G, b) → e
  3. Point(e) → J
  4. OrthogonalLine(J, e) → h
  5. OrthogonalLine(G, e) → f
  6. Point(f) → H
  7. OrthogonalLine(H, f) → g
  8. Intersect(g, h) → E
  9. Midpoint(E, H) → I
  10. Midpoint(I, E) → B_1
  11. Vector(I, E) → w
  12. Length(w) → l1
  13. If(a < 2.3, 0, If[a < 3.3, a - 2.3, 1]) → d3
  14. If(a < 1.2, 0, If[a < 2.2, a - 1.2, 1]) → d2
  15. If(a < 3.4, 0, If[a < 4.4, a - 3.4, 1]) → d4
  16. If(a < 4.5, 0, If[a < 5.5, a - 4.5, 1]) → d5
  17. If(a < 5.6, 0, If[a < 6.6, a - 5.6, 1]) → d6
  18. If(a < 6.7, 0, If[a < 7.7, a - 6.7, 1]) → d7
  19. If(a < 7.8, 0, If[a < 8.8, a - 7.8, 1]) → d8
  20. Midpoint(G, J) → D
  21. Midpoint(J, E) → F
  22. Midpoint(H, G) → K
  23. Midpoint(D, I) → L
  24. Midpoint(K, L) → M
  25. Midpoint(L, F) → N
  26. Midpoint(F, J) → O
  27. Midpoint(J, D) → P
  28. Midpoint(G, D) → Q
  29. Midpoint(K, G) → R
  30. Midpoint(Q, M) → S
  31. Midpoint(L, D) → T
  32. Midpoint(P, N) → U
  33. Midpoint(F, E) → V
  34. Midpoint(K, H) → W
  35. Midpoint(W, V) → Z
  36. Midpoint(H, I) → A_1
  37. Midpoint(N, B_1) → C_1
  38. Midpoint(Z, W) → D_1
  39. Midpoint(D, U) → E_1
  40. Midpoint(U, J) → F_1
  41. Midpoint(T, Q) → G_1
  42. Midpoint(S, G) → H_1
  43. Midpoint(S, K) → I_1
  44. Midpoint(M, T) → J_1
  45. Midpoint(T, N) → K_1
  46. Midpoint(N, O) → L_1
  47. Midpoint(F, C_1) → M_1
  48. Midpoint(C_1, L) → N_1
  49. Midpoint(L, D_1) → O_1
  50. Midpoint(D_1, K) → P_1
  51. Midpoint(H, D_1) → Q_1
  52. Midpoint(D_1, I) → R_1
  53. Midpoint(I, C_1) → S_1
  54. Midpoint(C_1, E) → T_1
  55. Mirror(F_1, h) → U_1
  56. Mirror(L_1, h) → V_1
  57. Mirror(M_1, h) → W_1
  58. Mirror(T_1, h) → Z_1
  59. Mirror(B_1, h) → A_2
  60. Mirror(C_1, h) → B_2
  61. Mirror(L_1, h) → C_2
  62. Mirror(P, h) → P'
  63. Mirror(U, h) → U'
  64. Mirror(N, h) → N'
  65. Line(Q, A_2) → d
  66. Line(F, d) → i
  67. Line(C_1, d) → k
  68. Line(S_1, k) → l
  69. Line(R_1, L_1) → j
  70. Line(D_1, j) → m
  71. Line(M, j) → n
  72. Line(I, j) → p
  73. Line(K, N') → q
  74. Line(B_2, W) → r
  75. Line(R, U') → s
  76. Line(S, A_1) → t
  77. Line(I, T) → a_1
  78. Line(U, B_1) → b_1
  79. Line(E_1, N_1) → c_1
  80. Line(F_1, M_1) → d_1
  81. Line(G_1, R_1) → e_1
  82. Line(W_1, P_1) → g_1
  83. Line(Q_1, Z_1) → h_1
  84. Point(m) → D_2
  85. Line(D_2, q) → i_1
  86. Line(D_2, c_1) → j_1
  87. Point(a_1) → F_2
  88. Intersect(q, j_1) → J_2
  89. Polygon(D_2, F_2, T) → poly2, t_2, d_2, f_2
  90. Polygon(F_2, L, D_2) → poly1, d_4, f_1, l_1
  91. Mirror(T, m) → T'
  92. Mirror(D_2, m) → H_2
  93. Mirror(K_1, m) → I_2
  94. Mirror(D_2, m) → K_2
  95. Mirror(F_2, m) → L_2
  96. Mirror(T, m) → T'_1
  97. Polygon(K_2, L_2, T'_1) → poly2', t'_1, k_3, l_3
  98. Mirror(F_2, m) → M_2
  99. Mirror(L, m) → L'
  100. Mirror(D_2, m) → N_2
  101. Polygon(M_2, L', N_2) → poly1', n_2, m_2, l'
  102. Mirror(T', q) → T''
  103. Mirror(H_2, q) → O_2
  104. Mirror(I_2, q) → P_2
  105. Mirror(K_2, q) → Q_2
  106. Mirror(L_2, q) → R_2
  107. Mirror(T'_1, q) → S_2
  108. Polygon(Q_2, R_2, S_2) → poly2'', s_2, q_2, r_2
  109. Mirror(M_2, q) → T_2
  110. Mirror(L', q) → L''
  111. Mirror(N_2, q) → U_2
  112. Polygon(T_2, L'', U_2) → poly1'', u_2, t_4, l''
  113. Mirror(T'', k) → T'''
  114. Mirror(O_2, k) → V_2
  115. Mirror(P_2, k) → W_2
  116. Mirror(Q_2, k) → Z_2
  117. Mirror(R_2, k) → A_3
  118. Mirror(S_2, k) → B_3
  119. Polygon(Z_2, A_3, B_3) → poly2''', b_3, z_2, a_3
  120. Mirror(T_2, k) → C_3
  121. Mirror(L'', k) → L'''
  122. Mirror(U_2, k) → D_3
  123. Polygon(C_3, L''', D_3) → poly1''', d_5, c_3, l'''
  124. Mirror(T''', a_1) → E_3
  125. Mirror(V_2, a_1) → F_3
  126. Mirror(W_2, a_1) → G_3
  127. Mirror(Z_2, a_1) → H_3
  128. Mirror(A_3, a_1) → I_3
  129. Mirror(B_3, a_1) → J_3
  130. Polygon(H_3, I_3, J_3) → poly6, j_3, h_3, i_3
  131. Mirror(C_3, a_1) → K_3
  132. Mirror(L''', a_1) → L_3
  133. Mirror(D_3, a_1) → M_3
  134. Polygon(K_3, L_3, M_3) → poly7, m_3, k_4, l_4
  135. Mirror(E_3, m) → N_3
  136. Mirror(F_3, m) → O_3
  137. Mirror(G_3, m) → P_3
  138. Mirror(H_3, m) → Q_3
  139. Mirror(I_3, m) → R_3
  140. Mirror(J_3, m) → S_3
  141. Polygon(Q_3, R_3, S_3) → poly6', s_3, q_3, r_3
  142. Mirror(K_3, m) → T_3
  143. Mirror(L_3, m) → U_3
  144. Mirror(M_3, m) → V_3
  145. Polygon(T_3, U_3, V_3) → poly7', v_3, t_5, u_3
  146. Mirror(N_3, q) → W_3
  147. Mirror(O_3, q) → Z_3
  148. Mirror(P_3, q) → A_4
  149. Mirror(Q_3, q) → C_4
  150. Mirror(R_3, q) → D_4
  151. Mirror(S_3, q) → E_4
  152. Polygon(C_4, D_4, E_4) → poly6'', e_4, c_4, d_6
  153. Mirror(T_3, q) → F_4
  154. Mirror(U_3, q) → G_4
  155. Mirror(V_3, q) → H_4
  156. Polygon(F_4, G_4, H_4) → poly7'', h_4, f_4, g_4
  157. Mirror(W_3, k) → I_4
  158. Mirror(Z_3, k) → J_4
  159. Mirror(A_4, k) → K_4
  160. Mirror(C_4, k) → L_4
  161. Mirror(D_4, k) → M_4
  162. Mirror(E_4, k) → N_4
  163. Polygon(L_4, M_4, N_4) → poly6''', n_4, l_5, m_4
  164. Mirror(F_4, k) → O_4
  165. Mirror(G_4, k) → P_4
  166. Mirror(H_4, k) → Q_4
  167. Polygon(O_4, P_4, Q_4) → poly7''', q_4, o_4, p_4
  168. Mirror(D_2, K_1) → R_4
  169. Polygon(T, D_2, R_4) → poly3, r_4, t_3, d_3
  170. Polygon(R_4, U, T) → poly8, t_6, r_1, u_1
  171. Polygon(L, U, T) → poly4, t_1, l_2, u_4
  172. Mirror(T, m) → T'_2
  173. Mirror(D_2, m) → S_4
  174. Mirror(R_4, m) → T_4
  175. Polygon(T'_2, S_4, T_4) → poly3', t_7, t'_2, s_4
  176. Mirror(R_4, m) → U_4
  177. Mirror(U, m) → U'_1
  178. Mirror(T, m) → T'_3
  179. Polygon(U_4, U'_1, T'_3) → poly8', t'_3, u_5, u'_1
  180. Mirror(T'_2, q) → V_4
  181. Mirror(S_4, q) → W_4
  182. Mirror(T_4, q) → Z_4
  183. Polygon(V_4, W_4, Z_4) → poly3'', z_4, v_4, w_4
  184. Mirror(U_4, q) → A_5
  185. Mirror(U'_1, q) → B_5
  186. Mirror(T'_3, q) → C_5
  187. Polygon(A_5, B_5, C_5) → poly8'', c_5, a_5, b_5
  188. Mirror(V_4, k) → D_5
  189. Mirror(W_4, k) → E_5
  190. Mirror(Z_4, k) → F_5
  191. Polygon(D_5, E_5, F_5) → poly3''', f_5, d_7, e_5
  192. Mirror(A_5, k) → G_5
  193. Mirror(B_5, k) → H_5
  194. Mirror(C_5, k) → I_5
  195. Polygon(G_5, H_5, I_5) → poly8''', i_5, g_5, h_5
  196. Mirror(G_5, a_1) → J_5
  197. Mirror(H_5, a_1) → K_5
  198. Mirror(I_5, a_1) → L_5
  199. Polygon(J_5, K_5, L_5) → poly5, l_6, j_5, k_5
  200. Mirror(D_5, a_1) → M_5
  201. Mirror(E_5, a_1) → N_5
  202. Mirror(F_5, a_1) → O_5
  203. Polygon(M_5, N_5, O_5) → poly9, o_5, m_5, n_5
  204. Mirror(J_5, m) → P_5
  205. Mirror(K_5, m) → Q_5
  206. Mirror(L_5, m) → R_5
  207. Polygon(P_5, Q_5, R_5) → poly5', r_5, p_5, q_5
  208. Mirror(M_5, m) → S_5
  209. Mirror(N_5, m) → T_5
  210. Mirror(O_5, m) → U_5
  211. Polygon(S_5, T_5, U_5) → poly9', u_6, s_5, t_8
  212. Mirror(S_5, q) → V_5
  213. Mirror(T_5, q) → W_5
  214. Mirror(U_5, q) → Z_5
  215. Polygon(V_5, W_5, Z_5) → poly9'', z_5, v_5, w_5
  216. Mirror(P_5, q) → A_6
  217. Mirror(Q_5, q) → B_6
  218. Mirror(R_5, q) → C_6
  219. Polygon(A_6, B_6, C_6) → poly5'', c_6, a_6, b_6
  220. Mirror(V_5, k) → D_6
  221. Mirror(W_5, k) → E_6
  222. Mirror(Z_5, k) → F_6
  223. Polygon(D_6, E_6, F_6) → poly9''', f_6, d_8, e_6
  224. Mirror(A_6, k) → G_6
  225. Mirror(B_6, k) → H_6
  226. Mirror(C_6, k) → I_6
  227. Polygon(G_6, H_6, I_6) → poly5''', i_6, g_6, h_6
  228. Min(l1, ((a - 3) * l1)) → d1
  229. Line(B_4, r) → k_1
  230. Circle(B_4, d1) → p_1
  231. Intersect(p_1, k_1, 1) → J_6
  232. Vector(B_4, J_6) → z
  233. Translate(U_4, z) → K_6
  234. Translate(U'_1, z) → L_6
  235. Translate(T'_3, z) → M_6
  236. Polygon(K_6, L_6, M_6) → poly8''_1, m_6, k_6, l_7
  237. Translate(T'_2, z) → N_6
  238. Translate(S_4, z) → O_6
  239. Translate(T_4, z) → P_6
  240. Polygon(N_6, O_6, P_6) → poly3''_1, p_6, n_6, o_6
  241. Translate(K_2, z) → Q_6
  242. Translate(L_2, z) → R_6
  243. Translate(T'_1, z) → S_6
  244. Polygon(Q_6, R_6, S_6) → poly2''_1, s_6, q_6, r_6
  245. Translate(V_4, z) → T_6
  246. Translate(W_4, z) → U_6
  247. Translate(Z_4, z) → V_6
  248. Polygon(T_6, U_6, V_6) → poly3'''_1, v_6, t_9, u_7
  249. Translate(Q_2, z) → W_6
  250. Translate(R_2, z) → Z_6
  251. Translate(S_2, z) → A_7
  252. Polygon(W_6, Z_6, A_7) → poly2'''_1, a_7, w_6, z_6
  253. Translate(A_5, z) → B_7
  254. Translate(B_5, z) → C_7
  255. Translate(C_5, z) → D_7
  256. Polygon(B_7, C_7, D_7) → poly8'''_1, d_9, b_7, c_7
  257. Translate(G_5, z) → C
  258. Translate(H_5, z) → E_2
  259. Translate(I_5, z) → G_2
  260. Polygon(C, E_2, G_2) → poly10, g_2, c_2, e_2
  261. Translate(D_5, z) → E_7
  262. Translate(E_5, z) → F_7
  263. Translate(F_5, z) → G_7
  264. Polygon(E_7, F_7, G_7) → poly11, g_7, e_7, f_7
  265. Translate(M_5, z) → H_7
  266. Translate(N_5, z) → I_7
  267. Translate(O_5, z) → J_7
  268. Polygon(H_7, I_7, J_7) → poly9'_1, j_7, h_7, i_7
  269. Translate(J_5, z) → K_7
  270. Translate(K_5, z) → L_7
  271. Translate(L_5, z) → M_7
  272. Polygon(K_7, L_7, M_7) → poly5'_1, m_7, k_7, l_8
  273. Translate(P_5, z) → N_7
  274. Translate(Q_5, z) → O_7
  275. Translate(R_5, z) → P_7
  276. Polygon(N_7, O_7, P_7) → poly5''_1, p_7, n_7, o_7
  277. Translate(A_6, z) → Q_7
  278. Translate(B_6, z) → R_7
  279. Translate(C_6, z) → S_7
  280. Polygon(Q_7, R_7, S_7) → poly5'''_1, s_7, q_7, r_7
  281. Translate(G_6, z) → T_7
  282. Translate(H_6, z) → U_7
  283. Translate(I_6, z) → V_7
  284. Polygon(T_7, U_7, V_7) → poly12, v_7, t_{10}, u_8
  285. Translate(S_5, z) → W_7
  286. Translate(T_5, z) → Z_7
  287. Translate(U_5, z) → A_8
  288. Polygon(W_7, Z_7, A_8) → poly9''_1, a_8, w_7, z_7
  289. Translate(V_5, z) → B_8
  290. Translate(W_5, z) → C_8
  291. Translate(Z_5, z) → D_8
  292. Polygon(B_8, C_8, D_8) → poly9'''_1, d_{10}, b_8, c_8
  293. Translate(D_6, z) → E_8
  294. Translate(E_6, z) → F_8
  295. Translate(F_6, z) → G_8
  296. Polygon(E_8, F_8, G_8) → poly13, g_8, e_8, f_8
  297. Translate(T, z) → T'_4
  298. Translate(D_2, z) → H_8
  299. Translate(R_4, z) → I_8
  300. Polygon(T'_4, H_8, I_8) → poly3'_1, i_8, t'_4, h_8
  301. Translate(L_4, z) → J_8
  302. Translate(M_4, z) → K_8
  303. Translate(N_4, z) → L_8
  304. Polygon(J_8, K_8, L_8) → poly14, l_9, j_8, k_8
  305. Translate(D_2, z) → M_8
  306. Translate(F_2, z) → N_8
  307. Translate(T, z) → T'_5
  308. Polygon(M_8, N_8, T'_5) → poly2'_1, t'_5, m_8, n_8
  309. Translate(C_4, z) → O_8
  310. Translate(D_4, z) → P_8
  311. Translate(E_4, z) → Q_8
  312. Polygon(O_8, P_8, Q_8) → poly6'''_1, q_8, o_8, p_8
  313. Translate(Q_3, z) → R_8
  314. Translate(R_3, z) → S_8
  315. Translate(S_3, z) → T_8
  316. Polygon(R_8, S_8, T_8) → poly6''_1, t_{11}, r_8, s_8
  317. Translate(H_3, z) → U_8
  318. Translate(I_3, z) → V_8
  319. Translate(J_3, z) → W_8
  320. Polygon(U_8, V_8, W_8) → poly6'_1, w_8, u_9, v_8
  321. Translate(Z_2, z) → Z_8
  322. Translate(A_3, z) → A_9
  323. Translate(B_3, z) → B_9
  324. Polygon(Z_8, A_9, B_9) → poly15, b_9, z_8, a_9
  325. Translate(C_3, z) → C_9
  326. Translate(L''', z) → D_9
  327. Translate(D_3, z) → E_9
  328. Polygon(C_9, D_9, E_9) → poly16, e_9, c_9, d_{11}
  329. Translate(M_2, z) → G_9
  330. Translate(L', z) → L''_1
  331. Translate(N_2, z) → H_9
  332. Polygon(G_9, L''_1, H_9) → poly1''_1, h_9, g_9, l''_1
  333. Translate(F_2, z) → I_9
  334. Translate(L, z) → L'_1
  335. Translate(D_2, z) → J_9
  336. Polygon(I_9, L'_1, J_9) → poly1'_1, j_9, i_9, l'_1
  337. Translate(T_2, z) → K_9
  338. Translate(L'', z) → L'''_1
  339. Translate(U_2, z) → L_9
  340. Polygon(K_9, L'''_1, L_9) → poly1'''_1, l_{10}, k_9, l'''_1
  341. Translate(O_4, z) → M_9
  342. Translate(P_4, z) → N_9
  343. Translate(Q_4, z) → O_9
  344. Polygon(M_9, N_9, O_9) → poly17, o_9, m_9, n_9
  345. Translate(F_4, z) → P_9
  346. Translate(G_4, z) → Q_9
  347. Translate(H_4, z) → R_9
  348. Polygon(P_9, Q_9, R_9) → poly7'''_1, r_9, p_9, q_9
  349. Translate(T_3, z) → S_9
  350. Translate(U_3, z) → T_9
  351. Translate(V_3, z) → U_9
  352. Polygon(S_9, T_9, U_9) → poly7''_1, u_{10}, s_9, t_{12}
  353. Translate(K_3, z) → V_9
  354. Translate(L_3, z) → W_9
  355. Translate(M_3, z) → Z_9
  356. Polygon(V_9, W_9, Z_9) → poly7'_1, z_9, v_9, w_9
  357. Translate(R_4, z) → A_{10}
  358. Translate(U, z) → U'_2
  359. Translate(T, z) → T'_6
  360. Polygon(A_{10}, U'_2, T'_6) → poly8'_1, t'_6, a_{10}, u'_2
  361. Point(b) → A1
  362. Min(180, ((a - 4.5) * 180)) → r1
  363. Rotate(P_5, ((-r1))°, T) → F_9
  364. Rotate(Q_5, ((-r1))°, T) → B_{10}
  365. Rotate(R_5, ((-r1))°, T) → C_{10}
  366. Polygon(F_9, B_{10}, C_{10}) → poly5''_2, c_{10}, f_9, b_{10}
  367. Rotate(S_5, ((-r1))°, T) → D_{10}
  368. Rotate(T_5, ((-r1))°, T) → E_{10}
  369. Rotate(U_5, ((-r1))°, T) → F_{10}
  370. Polygon(D_{10}, E_{10}, F_{10}) → poly9''_2, f_{10}, d_{12}, e_{10}
  371. Rotate(A_6, ((-r1))°, T) → G_{10}
  372. Rotate(B_6, ((-r1))°, T) → H_{10}
  373. Rotate(C_6, ((-r1))°, T) → I_{10}
  374. Polygon(G_{10}, H_{10}, I_{10}) → poly5'''_2, i_{10}, g_{10}, h_{10}
  375. Rotate(G_6, ((-r1))°, T) → J_{10}
  376. Rotate(H_6, ((-r1))°, T) → K_{10}
  377. Rotate(I_6, ((-r1))°, T) → L_{10}
  378. Polygon(J_{10}, K_{10}, L_{10}) → poly18, l_{11}, j_{10}, k_{10}
  379. Rotate(V_5, ((-r1))°, T) → M_{10}
  380. Rotate(W_5, ((-r1))°, T) → N_{10}
  381. Rotate(Z_5, ((-r1))°, T) → O_{10}
  382. Polygon(M_{10}, N_{10}, O_{10}) → poly9'''_2, o_{10}, m_{10}, n_{10}
  383. Rotate(D_6, ((-r1))°, T) → P_{10}
  384. Rotate(E_6, ((-r1))°, T) → Q_{10}
  385. Rotate(F_6, ((-r1))°, T) → R_{10}
  386. Polygon(P_{10}, Q_{10}, R_{10}) → poly19, r_{10}, p_{10}, q_{10}
  387. Rotate(M_5, ((-r1))°, T) → S_{10}
  388. Rotate(N_5, ((-r1))°, T) → T_{10}
  389. Rotate(O_5, ((-r1))°, T) → U_{10}
  390. Polygon(S_{10}, T_{10}, U_{10}) → poly9'_2, u_{11}, s_{10}, t_{13}
  391. Rotate(C_4, ((-r1))°, T) → V_{10}
  392. Rotate(D_4, ((-r1))°, T) → W_{10}
  393. Rotate(E_4, ((-r1))°, T) → Z_{10}
  394. Polygon(V_{10}, W_{10}, Z_{10}) → poly6'''_2, z_{10}, v_{10}, w_{10}
  395. Rotate(Q_3, ((-r1))°, T) → A_{11}
  396. Rotate(R_3, ((-r1))°, T) → B_{11}
  397. Rotate(S_3, ((-r1))°, T) → C_{11}
  398. Polygon(A_{11}, B_{11}, C_{11}) → poly6''_2, c_{11}, a_{11}, b_{11}
  399. Rotate(J_5, ((-r1))°, T) → D_{11}
  400. Rotate(K_5, ((-r1))°, T) → E_{11}
  401. Rotate(L_5, ((-r1))°, T) → F_{11}
  402. Polygon(D_{11}, E_{11}, F_{11}) → poly5'_2, f_{11}, d_{13}, e_{11}
  403. Rotate(L_4, ((-r1))°, T) → G_{11}
  404. Rotate(M_4, ((-r1))°, T) → H_{11}
  405. Rotate(N_4, ((-r1))°, T) → I_{11}
  406. Polygon(G_{11}, H_{11}, I_{11}) → poly20, i_{11}, g_{11}, h_{11}
  407. Rotate(D_2, ((-r1))°, T) → J_{11}
  408. Rotate(F_2, ((-r1))°, T) → K_{11}
  409. Rotate(T, ((-r1))°, T) → T'_7
  410. Polygon(J_{11}, K_{11}, T'_7) → poly2'_2, t'_7, j_{11}, k_{11}
  411. Rotate(H_3, ((-r1))°, T) → L_{11}
  412. Rotate(I_3, ((-r1))°, T) → M_{11}
  413. Rotate(J_3, ((-r1))°, T) → N_{11}
  414. Polygon(L_{11}, M_{11}, N_{11}) → poly6'_2, n_{11}, l_{12}, m_{11}
  415. Rotate(D_5, ((-r1))°, T) → O_{11}
  416. Rotate(E_5, ((-r1))°, T) → P_{11}
  417. Rotate(F_5, ((-r1))°, T) → Q_{11}
  418. Polygon(O_{11}, P_{11}, Q_{11}) → poly21, q_{11}, o_{11}, p_{11}
  419. Rotate(V_4, ((-r1))°, T) → R_{11}
  420. Rotate(W_4, ((-r1))°, T) → S_{11}
  421. Rotate(Z_4, ((-r1))°, T) → T_{11}
  422. Polygon(R_{11}, S_{11}, T_{11}) → poly3'''_2, t_{14}, r_{11}, s_{11}
  423. Rotate(G_5, ((-r1))°, T) → U_{11}
  424. Rotate(H_5, ((-r1))°, T) → V_{11}
  425. Rotate(I_5, ((-r1))°, T) → W_{11}
  426. Polygon(U_{11}, V_{11}, W_{11}) → poly22, w_{11}, u_{12}, v_{11}
  427. Rotate(A_5, ((-r1))°, T) → Z_{11}
  428. Rotate(B_5, ((-r1))°, T) → A_{12}
  429. Rotate(C_5, ((-r1))°, T) → B_{12}
  430. Polygon(Z_{11}, A_{12}, B_{12}) → poly8'''_2, b_{12}, z_{11}, a_{12}
  431. Rotate(U_4, ((-r1))°, T) → C_{12}
  432. Rotate(U'_1, ((-r1))°, T) → D_{12}
  433. Rotate(T'_3, ((-r1))°, T) → E_{12}
  434. Polygon(C_{12}, D_{12}, E_{12}) → poly8''_2, e_{12}, c_{12}, d_{14}
  435. Rotate(R_4, ((-r1))°, T) → F_{12}
  436. Rotate(U, ((-r1))°, T) → U'_3
  437. Rotate(T, ((-r1))°, T) → T'_8
  438. Polygon(F_{12}, U'_3, T'_8) → poly8'_2, t'_8, f_{12}, u'_3
  439. Rotate(T, ((-r1))°, T'_8) → T'_9
  440. Rotate(D_2, ((-r1))°, T'_8) → G_{12}
  441. Rotate(R_4, ((-r1))°, T'_8) → H_{12}
  442. Polygon(T'_9, G_{12}, H_{12}) → poly3'_2, h_{12}, t'_9, g_{12}
  443. Rotate(T'_2, ((-r1))°, T) → I_{12}
  444. Rotate(S_4, ((-r1))°, T) → J_{12}
  445. Rotate(T_4, ((-r1))°, T) → K_{12}
  446. Polygon(I_{12}, J_{12}, K_{12}) → poly3''_2, k_{12}, i_{12}, j_{12}
  447. Rotate(Z_2, ((-r1))°, T) → L_{12}
  448. Rotate(A_3, ((-r1))°, T) → M_{12}
  449. Rotate(B_3, ((-r1))°, T) → N_{12}
  450. Polygon(L_{12}, M_{12}, N_{12}) → poly23, n_{12}, l_{13}, m_{12}
  451. Rotate(Q_2, ((-r1))°, T) → O_{12}
  452. Rotate(R_2, ((-r1))°, T) → P_{12}
  453. Rotate(S_2, ((-r1))°, T) → Q_{12}
  454. Polygon(O_{12}, P_{12}, Q_{12}) → poly2'''_2, q_{12}, o_{12}, p_{12}
  455. Rotate(K_2, ((-r1))°, T) → R_{12}
  456. Rotate(L_2, ((-r1))°, T) → S_{12}
  457. Rotate(T'_1, ((-r1))°, T) → T_{12}
  458. Polygon(R_{12}, S_{12}, T_{12}) → poly2''_2, t_{15}, r_{12}, s_{12}
  459. Rotate(T_3, ((-r1))°, T) → U_{12}
  460. Rotate(U_3, ((-r1))°, T) → V_{12}
  461. Rotate(V_3, ((-r1))°, T) → W_{12}
  462. Polygon(U_{12}, V_{12}, W_{12}) → poly7''_2, w_{12}, u_{13}, v_{12}
  463. Rotate(K_3, ((-r1))°, T) → Z_{12}
  464. Rotate(L_3, ((-r1))°, T) → A_{13}
  465. Rotate(M_3, ((-r1))°, T) → B_{13}
  466. Polygon(Z_{12}, A_{13}, B_{13}) → poly7'_2, b_{13}, z_{12}, a_{13}
  467. Rotate(C_3, ((-r1))°, T) → C_{13}
  468. Rotate(L''', ((-r1))°, T) → D_{13}
  469. Rotate(D_3, ((-r1))°, T) → E_{13}
  470. Polygon(C_{13}, D_{13}, E_{13}) → poly24, e_{13}, c_{13}, d_{15}
  471. Rotate(T_2, ((-r1))°, T) → F_{13}
  472. Rotate(L'', ((-r1))°, T) → L'''_2
  473. Rotate(U_2, ((-r1))°, T) → G_{13}
  474. Polygon(F_{13}, L'''_2, G_{13}) → poly1'''_2, g_{13}, f_{13}, l'''_2
  475. Rotate(M_2, ((-r1))°, T) → H_{13}
  476. Rotate(L', ((-r1))°, T) → L''_2
  477. Rotate(N_2, ((-r1))°, T) → I_{13}
  478. Polygon(H_{13}, L''_2, I_{13}) → poly1''_2, i_{13}, h_{13}, l''_2
  479. Rotate(F_2, ((-r1))°, T) → J_{13}
  480. Rotate(L, ((-r1))°, T) → L'_2
  481. Rotate(D_2, ((-r1))°, T) → K_{13}
  482. Polygon(J_{13}, L'_2, K_{13}) → poly1'_2, k_{13}, j_{13}, l'_2
  483. Rotate(O_4, ((-r1))°, T) → L_{13}
  484. Rotate(P_4, ((-r1))°, T) → M_{13}
  485. Rotate(Q_4, ((-r1))°, T) → N_{13}
  486. Polygon(L_{13}, M_{13}, N_{13}) → poly25, n_{13}, l_{14}, m_{13}
  487. Rotate(F_4, ((-r1))°, T) → O_{13}
  488. Rotate(G_4, ((-r1))°, T) → P_{13}
  489. Rotate(H_4, ((-r1))°, T) → Q_{13}
  490. Polygon(O_{13}, P_{13}, Q_{13}) → poly7'''_2, q_{13}, o_{13}, p_{13}
  491. Mirror(G_{10}, b_1) → R_{13}
  492. Mirror(H_{10}, b_1) → S_{13}
  493. Mirror(I_{10}, b_1) → T_{13}
  494. Polygon(R_{13}, S_{13}, T_{13}) → poly26, t_{16}, r_{13}, s_{13}
  495. Mirror(J_{10}, b_1) → U_{13}
  496. Mirror(K_{10}, b_1) → V_{13}
  497. Mirror(L_{10}, b_1) → W_{13}
  498. Polygon(U_{13}, V_{13}, W_{13}) → poly18', w_{13}, u_{14}, v_{13}
  499. Mirror(F_{12}, b_1) → Z_{13}
  500. Mirror(U'_3, b_1) → A_{14}
  501. Mirror(T'_8, b_1) → B_{14}
  502. Polygon(Z_{13}, A_{14}, B_{14}) → poly27, b_{14}, z_{13}, a_{14}
  503. Mirror(C_{12}, b_1) → C_{14}
  504. Mirror(D_{12}, b_1) → D_{14}
  505. Mirror(E_{12}, b_1) → E_{14}
  506. Polygon(C_{14}, D_{14}, E_{14}) → poly28, e_{14}, c_{14}, d_{16}
  507. Mirror(Z_{11}, b_1) → F_{14}
  508. Mirror(A_{12}, b_1) → G_{14}
  509. Mirror(B_{12}, b_1) → H_{14}
  510. Polygon(F_{14}, G_{14}, H_{14}) → poly29, h_{14}, f_{14}, g_{14}
  511. Mirror(U_{11}, b_1) → I_{14}
  512. Mirror(V_{11}, b_1) → J_{14}
  513. Mirror(W_{11}, b_1) → K_{14}
  514. Polygon(I_{14}, J_{14}, K_{14}) → poly22', k_{14}, i_{14}, j_{14}
  515. Mirror(D_{11}, b_1) → L_{14}
  516. Mirror(E_{11}, b_1) → M_{14}
  517. Mirror(F_{11}, b_1) → N_{14}
  518. Polygon(L_{14}, M_{14}, N_{14}) → poly30, n_{14}, l_{15}, m_{14}
  519. Mirror(F_9, b_1) → O_{14}
  520. Mirror(B_{10}, b_1) → P_{14}
  521. Mirror(C_{10}, b_1) → Q_{14}
  522. Polygon(O_{14}, P_{14}, Q_{14}) → poly31, q_{14}, o_{14}, p_{14}
  523. Mirror(S_{10}, b_1) → R_{14}
  524. Mirror(T_{10}, b_1) → S_{14}
  525. Mirror(U_{10}, b_1) → T_{14}
  526. Polygon(R_{14}, S_{14}, T_{14}) → poly32, t_{17}, r_{14}, s_{14}
  527. Mirror(O_{11}, b_1) → U_{14}
  528. Mirror(P_{11}, b_1) → V_{14}
  529. Mirror(Q_{11}, b_1) → W_{14}
  530. Polygon(U_{14}, V_{14}, W_{14}) → poly21', w_{14}, u_{15}, v_{14}
  531. Mirror(R_{11}, b_1) → Z_{14}
  532. Mirror(S_{11}, b_1) → A_{15}
  533. Mirror(T_{11}, b_1) → B_{15}
  534. Polygon(Z_{14}, A_{15}, B_{15}) → poly33, b_{15}, z_{14}, a_{15}
  535. Mirror(D_{10}, b_1) → C_{15}
  536. Mirror(E_{10}, b_1) → D_{15}
  537. Mirror(F_{10}, b_1) → E_{15}
  538. Polygon(C_{15}, D_{15}, E_{15}) → poly34, e_{15}, c_{15}, d_{17}
  539. Mirror(P_{10}, b_1) → F_{15}
  540. Mirror(Q_{10}, b_1) → G_{15}
  541. Mirror(R_{10}, b_1) → H_{15}
  542. Polygon(F_{15}, G_{15}, H_{15}) → poly19', h_{15}, f_{15}, g_{15}
  543. Mirror(M_{10}, b_1) → I_{15}
  544. Mirror(N_{10}, b_1) → J_{15}
  545. Mirror(O_{10}, b_1) → K_{15}
  546. Polygon(I_{15}, J_{15}, K_{15}) → poly35, k_{15}, i_{15}, j_{15}
  547. Mirror(I_{12}, b_1) → L_{15}
  548. Mirror(J_{12}, b_1) → M_{15}
  549. Mirror(K_{12}, b_1) → N_{15}
  550. Polygon(L_{15}, M_{15}, N_{15}) → poly36, n_{15}, l_{16}, m_{15}
  551. Mirror(T'_9, b_1) → O_{15}
  552. Mirror(G_{12}, b_1) → P_{15}
  553. Mirror(H_{12}, b_1) → Q_{15}
  554. Polygon(O_{15}, P_{15}, Q_{15}) → poly37, q_{15}, o_{15}, p_{15}
  555. Mirror(L_{12}, b_1) → R_{15}
  556. Mirror(M_{12}, b_1) → S_{15}
  557. Mirror(N_{12}, b_1) → T_{15}
  558. Polygon(R_{15}, S_{15}, T_{15}) → poly23', t_{18}, r_{15}, s_{15}
  559. Mirror(L_{11}, b_1) → U_{15}
  560. Mirror(M_{11}, b_1) → V_{15}
  561. Mirror(N_{11}, b_1) → W_{15}
  562. Polygon(U_{15}, V_{15}, W_{15}) → poly38, w_{15}, u_{16}, v_{15}
  563. Mirror(O_{12}, b_1) → Z_{15}
  564. Mirror(P_{12}, b_1) → A_{16}
  565. Mirror(Q_{12}, b_1) → B_{16}
  566. Polygon(Z_{15}, A_{16}, B_{16}) → poly39, b_{16}, z_{15}, a_{16}
  567. Mirror(R_{12}, b_1) → C_{16}
  568. Mirror(S_{12}, b_1) → D_{16}
  569. Mirror(T_{12}, b_1) → E_{16}
  570. Polygon(C_{16}, D_{16}, E_{16}) → poly40, e_{16}, c_{16}, d_{18}
  571. Mirror(J_{11}, b_1) → F_{16}
  572. Mirror(K_{11}, b_1) → G_{16}
  573. Mirror(T'_7, b_1) → H_{16}
  574. Polygon(F_{16}, G_{16}, H_{16}) → poly41, h_{16}, f_{16}, g_{16}
  575. Mirror(G_{11}, b_1) → I_{16}
  576. Mirror(H_{11}, b_1) → J_{16}
  577. Mirror(I_{11}, b_1) → K_{16}
  578. Polygon(I_{16}, J_{16}, K_{16}) → poly20', k_{16}, i_{16}, j_{16}
  579. Mirror(V_{10}, b_1) → L_{16}
  580. Mirror(W_{10}, b_1) → M_{16}
  581. Mirror(Z_{10}, b_1) → N_{16}
  582. Polygon(L_{16}, M_{16}, N_{16}) → poly42, n_{16}, l_{17}, m_{16}
  583. Mirror(A_{11}, b_1) → P_{16}
  584. Mirror(B_{11}, b_1) → Q_{16}
  585. Mirror(C_{11}, b_1) → R_{16}
  586. Polygon(P_{16}, Q_{16}, R_{16}) → poly43, r_{16}, p_{16}, q_{16}
  587. Mirror(U_{12}, b_1) → S_{16}
  588. Mirror(V_{12}, b_1) → T_{16}
  589. Mirror(W_{12}, b_1) → U_{16}
  590. Polygon(S_{16}, T_{16}, U_{16}) → poly44, u_{17}, s_{16}, t_{19}
  591. Mirror(Z_{12}, b_1) → V_{16}
  592. Mirror(A_{13}, b_1) → W_{16}
  593. Mirror(B_{13}, b_1) → Z_{16}
  594. Polygon(V_{16}, W_{16}, Z_{16}) → poly45, z_{16}, v_{16}, w_{16}
  595. Mirror(C_{13}, b_1) → A_{17}
  596. Mirror(D_{13}, b_1) → B_{17}
  597. Mirror(E_{13}, b_1) → C_{17}
  598. Polygon(A_{17}, B_{17}, C_{17}) → poly24', c_{17}, a_{17}, b_{17}
  599. Mirror(F_{13}, b_1) → D_{17}
  600. Mirror(L'''_2, b_1) → E_{17}
  601. Mirror(G_{13}, b_1) → F_{17}
  602. Polygon(D_{17}, E_{17}, F_{17}) → poly46, f_{17}, d_{19}, e_{17}
  603. Mirror(H_{13}, b_1) → G_{17}
  604. Mirror(L''_2, b_1) → H_{17}
  605. Mirror(I_{13}, b_1) → I_{17}
  606. Polygon(G_{17}, H_{17}, I_{17}) → poly47, i_{17}, g_{17}, h_{17}
  607. Mirror(J_{13}, b_1) → J_{17}
  608. Mirror(L'_2, b_1) → K_{17}
  609. Mirror(K_{13}, b_1) → L_{17}
  610. Polygon(J_{17}, K_{17}, L_{17}) → poly48, l_{18}, j_{17}, k_{17}
  611. Mirror(L_{13}, b_1) → M_{17}
  612. Mirror(M_{13}, b_1) → N_{17}
  613. Mirror(N_{13}, b_1) → O_{17}
  614. Polygon(M_{17}, N_{17}, O_{17}) → poly25', o_{17}, m_{17}, n_{17}
  615. Mirror(O_{13}, b_1) → P_{17}
  616. Mirror(P_{13}, b_1) → Q_{17}
  617. Mirror(Q_{13}, b_1) → R_{17}
  618. Polygon(P_{17}, Q_{17}, R_{17}) → poly49, r_{17}, p_{17}, q_{17}
  619. Vector(I, F) → u
  620. Polygon(M_4, Z_3, R_3, F_3, A_3, O_2, L_2, H_2) → poly50, m_1, z_3, r_{18}, f_3, a_2, o_2, l_{19}, h_2
  621. Mirror(M_4, s) → S_{17}
  622. Mirror(Z_3, s) → T_{17}
  623. Mirror(R_3, s) → U_{17}
  624. Mirror(F_3, s) → V_{17}
  625. Mirror(A_3, s) → W_{17}
  626. Mirror(O_2, s) → Z_{17}
  627. Mirror(L_2, s) → A_{18}
  628. Mirror(H_2, s) → B_{18}
  629. Polygon(S_{17}, T_{17}, U_{17}, V_{17}, W_{17}, Z_{17}, A_{18}, B_{18}) → poly50', s_{17}, t_{20}, u_{18}, v_{17}, w_{17}, z_{17}, a_{18}, b_{18}
  630. Mirror(S_{17}, d) → C_{18}
  631. Mirror(T_{17}, d) → D_{18}
  632. Mirror(U_{17}, d) → E_{18}
  633. Mirror(V_{17}, d) → F_{18}
  634. Mirror(W_{17}, d) → G_{18}
  635. Mirror(Z_{17}, d) → H_{18}
  636. Mirror(A_{18}, d) → I_{18}
  637. Mirror(B_{18}, d) → J_{18}
  638. Mirror(S_{17}, P) → K_{18}
  639. Mirror(T_{17}, P) → L_{18}
  640. Mirror(U_{17}, P) → M_{18}
  641. Mirror(V_{17}, P) → N_{18}
  642. Mirror(W_{17}, P) → O_{18}
  643. Mirror(Z_{17}, P) → P_{18}
  644. Mirror(A_{18}, P) → Q_{18}
  645. Mirror(B_{18}, P) → R_{18}
  646. Polygon(K_{18}, L_{18}, M_{18}, N_{18}, O_{18}, P_{18}, Q_{18}, R_{18}) → poly50''_1, k_{18}, l_{20}, m_{18}, n_{18}, o_{18}, p_{18}, q_{18}, r_{19}
  647. Mirror(K_{18}, O) → S_{18}
  648. Mirror(L_{18}, O) → T_{18}
  649. Mirror(M_{18}, O) → U_{18}
  650. Mirror(N_{18}, O) → V_{18}
  651. Mirror(O_{18}, O) → W_{18}
  652. Mirror(P_{18}, O) → Z_{18}
  653. Mirror(Q_{18}, O) → A_{19}
  654. Mirror(R_{18}, O) → B_{19}
  655. Polygon(S_{18}, T_{18}, U_{18}, V_{18}, W_{18}, Z_{18}, A_{19}, B_{19}) → poly51, s_{18}, t_{21}, u_{19}, v_{18}, w_{18}, z_{18}, a_{19}, b_{19}
  656. Mirror(S_{18}, V) → C_{19}
  657. Mirror(T_{18}, V) → D_{19}
  658. Mirror(U_{18}, V) → E_{19}
  659. Mirror(V_{18}, V) → F_{19}
  660. Mirror(W_{18}, V) → G_{19}
  661. Mirror(Z_{18}, V) → H_{19}
  662. Mirror(A_{19}, V) → I_{19}
  663. Mirror(B_{19}, V) → J_{19}
  664. Polygon(C_{19}, D_{19}, E_{19}, F_{19}, G_{19}, H_{19}, I_{19}, J_{19}) → poly51', c_{19}, d_{21}, e_{19}, f_{19}, g_{19}, h_{19}, i_{19}, j_{19}
  665. Mirror(C_{19}, B_1) → K_{19}
  666. Mirror(D_{19}, B_1) → L_{19}
  667. Mirror(E_{19}, B_1) → M_{19}
  668. Mirror(F_{19}, B_1) → N_{19}
  669. Mirror(G_{19}, B_1) → O_{19}
  670. Mirror(H_{19}, B_1) → P_{19}
  671. Mirror(I_{19}, B_1) → Q_{19}
  672. Mirror(J_{19}, B_1) → R_{19}
  673. Polygon(K_{19}, L_{19}, M_{19}, N_{19}, O_{19}, P_{19}, Q_{19}, R_{19}) → poly51'', k_{19}, l_{21}, m_{19}, n_{19}, o_{19}, p_{19}, q_{19}, r_{20}
  674. Mirror(K_{19}, j) → S_{19}
  675. Mirror(L_{19}, j) → T_{19}
  676. Mirror(M_{19}, j) → U_{19}
  677. Mirror(N_{19}, j) → V_{19}
  678. Mirror(O_{19}, j) → W_{19}
  679. Mirror(P_{19}, j) → Z_{19}
  680. Mirror(Q_{19}, j) → A_{20}
  681. Mirror(R_{19}, j) → B_{20}
  682. Mirror(S_{18}, j) → C_{20}
  683. Mirror(T_{18}, j) → D_{20}
  684. Mirror(U_{18}, j) → E_{20}
  685. Mirror(V_{18}, j) → F_{20}
  686. Mirror(W_{18}, j) → G_{20}
  687. Mirror(Z_{18}, j) → H_{20}
  688. Mirror(A_{19}, j) → I_{20}
  689. Mirror(B_{19}, j) → J_{20}
  690. Midpoint(C_1, E) → K_{20}
  691. Mirror(C_{19}, K_{20}) → L_{20}
  692. Mirror(D_{19}, K_{20}) → M_{20}
  693. Mirror(E_{19}, K_{20}) → N_{20}
  694. Mirror(F_{19}, K_{20}) → O_{20}
  695. Mirror(G_{19}, K_{20}) → P_{20}
  696. Mirror(H_{19}, K_{20}) → Q_{20}
  697. Mirror(I_{19}, K_{20}) → R_{20}
  698. Mirror(J_{19}, K_{20}) → S_{20}
  699. Polygon(D_2, I_4, K_1) → poly54, k_{20}, d_{24}, i_{21}
  700. Polygon(I_4, F_2, D_2) → poly53, d_{23}, i_2, f_{21}
  701. Polygon(L', D_2, F_2) → poly55, f_{22}, l'_4, d_{25}
  702. Polygon(D_2, I_4, F_2) → poly52, f_{23}, d_{26}, i_4
  703. Polygon(C_{20}, R_4, U'_1) → poly56, u'_4, c_{21}, r_{22}
  704. Mirror(C_{20}, c_{21}) → T_{20}
  705. Mirror(R_4, c_{21}) → U_{20}
  706. Mirror(U'_1, c_{21}) → V_{20}
  707. Polygon(T_{20}, U_{20}, V_{20}) → poly56', v_{20}, t_{23}, u_{21}
  708. Rotate(C_{20}, 270°, L') → B_{21}
  709. Rotate(R_4, 270°, L') → C_{21}
  710. Rotate(U'_1, 270°, L') → D_{21}
  711. Polygon(B_{21}, C_{21}, D_{21}) → poly56'_2, d_{27}, b_{21}, c_{22}
  712. Mirror(B_{21}, b_{21}) → W_{20}
  713. Mirror(C_{21}, b_{21}) → Z_{20}
  714. Mirror(D_{21}, b_{21}) → A_{21}
  715. Polygon(W_{20}, Z_{20}, A_{21}) → poly57, a_{21}, w_{20}, z_{20}
  716. Rotate(B_{21}, 270°, L') → E_{21}
  717. Rotate(C_{21}, 270°, L') → F_{21}
  718. Rotate(D_{21}, 270°, L') → G_{21}
  719. Polygon(E_{21}, F_{21}, G_{21}) → poly58, g_{21}, e_{21}, f_{24}
  720. Rotate(W_{20}, 270°, L') → H_{21}
  721. Rotate(Z_{20}, 270°, L') → I_{21}
  722. Rotate(A_{21}, 270°, L') → J_{21}
  723. Polygon(H_{21}, I_{21}, J_{21}) → poly57', j_{21}, h_{21}, i_{22}
  724. Rotate(E_{21}, 270°, L') → K_{21}
  725. Rotate(F_{21}, 270°, L') → L_{21}
  726. Rotate(G_{21}, 270°, L') → M_{21}
  727. Polygon(K_{21}, L_{21}, M_{21}) → poly58', m_{21}, k_{21}, l_{23}
  728. Rotate(H_{21}, 270°, L') → N_{21}
  729. Rotate(I_{21}, 270°, L') → O_{21}
  730. Rotate(J_{21}, 270°, L') → P_{21}
  731. Polygon(N_{21}, O_{21}, P_{21}) → poly57'', p_{21}, n_{21}, o_{21}
  732. Line(U'_1, D_{21}) → n_1
  733. Mirror(T_{20}, n_1) → Q_{21}
  734. Mirror(U_{20}, n_1) → R_{21}
  735. Mirror(V_{20}, n_1) → S_{21}
  736. Polygon(Q_{21}, R_{21}, S_{21}) → poly56'', s_{21}, q_{21}, r_{23}
  737. Mirror(C_{20}, n_1) → T_{21}
  738. Mirror(R_4, n_1) → U_{21}
  739. Mirror(U'_1, n_1) → V_{21}
  740. Polygon(T_{21}, U_{21}, V_{21}) → poly56'_1, v_{21}, t_{24}, u_{22}
  741. Mirror(N_{21}, n_1) → W_{21}
  742. Mirror(O_{21}, n_1) → Z_{21}
  743. Mirror(P_{21}, n_1) → A_{22}
  744. Polygon(W_{21}, Z_{21}, A_{22}) → poly57''', a_{22}, w_{21}, z_{21}
  745. Mirror(K_{21}, n_1) → B_{22}
  746. Mirror(L_{21}, n_1) → C_{22}
  747. Mirror(M_{21}, n_1) → D_{22}
  748. Polygon(B_{22}, C_{22}, D_{22}) → poly58'', d_{28}, b_{22}, c_{23}
  749. Rotate(K_{21}, ((-r1))°, I_4) → E_{22}
  750. Rotate(L_{21}, ((-r1))°, I_4) → F_{22}
  751. Rotate(M_{21}, ((-r1))°, I_4) → G_{22}
  752. Polygon(E_{22}, F_{22}, G_{22}) → poly58''_1, g_{22}, e_{22}, f_{25}
  753. Rotate(N_{21}, ((-r1))°, I_4) → H_{22}
  754. Rotate(O_{21}, ((-r1))°, I_4) → I_{22}
  755. Rotate(P_{21}, ((-r1))°, I_4) → J_{22}
  756. Polygon(H_{22}, I_{22}, J_{22}) → poly57'''_1, j_{22}, h_{22}, i_{23}
  757. Rotate(C_{20}, ((-r1))°, I_4) → K_{22}
  758. Rotate(R_4, ((-r1))°, I_4) → L_{22}
  759. Rotate(U'_1, ((-r1))°, I_4) → M_{22}
  760. Polygon(K_{22}, L_{22}, M_{22}) → poly56'_3, m_{22}, k_{22}, l_{24}
  761. Rotate(T_{20}, ((-r1))°, I_4) → N_{22}
  762. Rotate(U_{20}, ((-r1))°, I_4) → O_{22}
  763. Rotate(V_{20}, ((-r1))°, I_4) → P_{22}
  764. Polygon(N_{22}, O_{22}, P_{22}) → poly56''_1, p_{22}, n_{22}, o_{22}
  765. Rotate(B_{21}, ((-r1))°, I_4) → Q_{22}
  766. Rotate(C_{21}, ((-r1))°, I_4) → R_{22}
  767. Rotate(D_{21}, ((-r1))°, I_4) → S_{22}
  768. Polygon(Q_{22}, R_{22}, S_{22}) → poly59, s_{22}, q_{22}, r_{24}
  769. Rotate(W_{20}, ((-r1))°, I_4) → T_{22}
  770. Rotate(Z_{20}, ((-r1))°, I_4) → U_{22}
  771. Rotate(A_{21}, ((-r1))°, I_4) → V_{22}
  772. Polygon(T_{22}, U_{22}, V_{22}) → poly57'_1, v_{22}, t_{25}, u_{23}
  773. Rotate(E_{21}, ((-r1))°, I_4) → W_{22}
  774. Rotate(F_{21}, ((-r1))°, I_4) → Z_{22}
  775. Rotate(G_{21}, ((-r1))°, I_4) → A_{23}
  776. Polygon(W_{22}, Z_{22}, A_{23}) → poly58'_1, a_{23}, w_{22}, z_{22}
  777. Rotate(H_{21}, ((-r1))°, I_4) → B_{23}
  778. Rotate(I_{21}, ((-r1))°, I_4) → C_{23}
  779. Rotate(J_{21}, ((-r1))°, I_4) → D_{23}
  780. Polygon(B_{23}, C_{23}, D_{23}) → poly57''_1, d_{29}, b_{23}, c_{24}
  781. Mirror(W_{22}, n_1) → E_{23}
  782. Mirror(Z_{22}, n_1) → F_{23}
  783. Mirror(A_{23}, n_1) → G_{23}
  784. Polygon(E_{23}, F_{23}, G_{23}) → poly60, g_{23}, e_{23}, f_{26}
  785. Mirror(B_{23}, n_1) → H_{23}
  786. Mirror(C_{23}, n_1) → I_{23}
  787. Mirror(D_{23}, n_1) → J_{23}
  788. Polygon(H_{23}, I_{23}, J_{23}) → poly61, j_{23}, h_{23}, i_{24}
  789. Mirror(E_{22}, n_1) → K_{23}
  790. Mirror(F_{22}, n_1) → L_{23}
  791. Mirror(G_{22}, n_1) → M_{23}
  792. Polygon(K_{23}, L_{23}, M_{23}) → poly62, m_{23}, k_{23}, l_{25}
  793. Mirror(H_{22}, n_1) → N_{23}
  794. Mirror(I_{22}, n_1) → O_{23}
  795. Mirror(J_{22}, n_1) → P_{23}
  796. Polygon(N_{23}, O_{23}, P_{23}) → poly63, p_{23}, n_{23}, o_{23}
  797. Mirror(T_{22}, n_1) → Q_{23}
  798. Mirror(U_{22}, n_1) → R_{23}
  799. Mirror(V_{22}, n_1) → S_{23}
  800. Polygon(Q_{23}, R_{23}, S_{23}) → poly64, s_{23}, q_{23}, r_{25}
  801. Mirror(Q_{22}, n_1) → T_{23}
  802. Mirror(R_{22}, n_1) → U_{23}
  803. Mirror(S_{22}, n_1) → V_{23}
  804. Polygon(T_{23}, U_{23}, V_{23}) → poly59', v_{23}, t_{26}, u_{24}
  805. Mirror(N_{22}, n_1) → W_{23}
  806. Mirror(O_{22}, n_1) → Z_{23}
  807. Mirror(P_{22}, n_1) → A_{24}
  808. Polygon(W_{23}, Z_{23}, A_{24}) → poly65, a_{24}, w_{23}, z_{23}
  809. Mirror(K_{22}, n_1) → B_{24}
  810. Mirror(L_{22}, n_1) → C_{24}
  811. Mirror(M_{22}, n_1) → D_{24}
  812. Polygon(B_{24}, C_{24}, D_{24}) → poly66, d_{30}, b_{24}, c_{25}
  813. Mirror(W_{20}, d_1) → E_{24}
  814. Mirror(Z_{20}, d_1) → F_{24}
  815. Mirror(A_{21}, d_1) → G_{24}
  816. Mirror(W_{20}, n_1) → H_{24}
  817. Mirror(Z_{20}, n_1) → I_{24}
  818. Mirror(A_{21}, n_1) → J_{24}
  819. Polygon(H_{24}, I_{24}, J_{24}) → poly57'_2, j_{24}, h_{24}, i_{25}
  820. Mirror(B_{21}, n_1) → K_{24}
  821. Mirror(C_{21}, n_1) → L_{24}
  822. Mirror(D_{21}, n_1) → M_{24}
  823. Polygon(K_{24}, L_{24}, M_{24}) → poly67, m_{24}, k_{24}, l_{26}
  824. Mirror(E_{21}, n_1) → N_{24}
  825. Mirror(F_{21}, n_1) → O_{24}
  826. Mirror(G_{21}, n_1) → P_{24}
  827. Polygon(N_{24}, O_{24}, P_{24}) → poly58'_2, p_{24}, n_{24}, o_{24}
  828. Mirror(H_{21}, n_1) → Q_{24}
  829. Mirror(I_{21}, n_1) → R_{24}
  830. Mirror(J_{21}, n_1) → S_{24}
  831. Polygon(Q_{24}, R_{24}, S_{24}) → poly57''_2, s_{24}, q_{24}, r_{26}
  832. Mirror(C_{20}, W_{13}) → T_{24}
  833. Mirror(D_{20}, W_{13}) → U_{24}
  834. Mirror(E_{20}, W_{13}) → V_{24}
  835. Mirror(F_{20}, W_{13}) → W_{24}
  836. Mirror(G_{20}, W_{13}) → Z_{24}
  837. Mirror(H_{20}, W_{13}) → A_{25}
  838. Mirror(I_{20}, W_{13}) → B_{25}
  839. Mirror(J_{20}, W_{13}) → C_{25}
  840. Mirror(L_{20}, G_{24}) → D_{25}
  841. Mirror(M_{20}, G_{24}) → E_{25}
  842. Mirror(N_{20}, G_{24}) → F_{25}
  843. Mirror(O_{20}, G_{24}) → G_{25}
  844. Mirror(P_{20}, G_{24}) → H_{25}
  845. Mirror(Q_{20}, G_{24}) → I_{25}
  846. Mirror(R_{20}, G_{24}) → J_{25}
  847. Mirror(S_{20}, G_{24}) → K_{25}
  848. Mirror(D_{25}, n_1) → L_{25}
  849. Mirror(E_{25}, n_1) → M_{25}
  850. Mirror(F_{25}, n_1) → N_{25}
  851. Mirror(G_{25}, n_1) → O_{25}
  852. Mirror(H_{25}, n_1) → P_{25}
  853. Mirror(I_{25}, n_1) → Q_{25}
  854. Mirror(J_{25}, n_1) → R_{25}
  855. Mirror(K_{25}, n_1) → S_{25}
  856. Polygon(L', I_4, I_2) → poly70, i_{27}, l'_3, i_{28}
  857. Mirror(C_{20}, P) → T_{25}
  858. Mirror(D_{20}, P) → U_{25}
  859. Mirror(E_{20}, P) → V_{25}
  860. Mirror(F_{20}, P) → W_{25}
  861. Mirror(G_{20}, P) → Z_{25}
  862. Mirror(H_{20}, P) → A_{26}
  863. Mirror(I_{20}, P) → B_{26}
  864. Mirror(J_{20}, P) → C_{26}
  865. Mirror(T_{24}, P') → D_{26}
  866. Mirror(U_{24}, P') → E_{26}
  867. Mirror(V_{24}, P') → F_{26}
  868. Mirror(W_{24}, P') → G_{26}
  869. Mirror(Z_{24}, P') → H_{26}
  870. Mirror(A_{25}, P') → I_{26}
  871. Mirror(B_{25}, P') → J_{26}
  872. Mirror(C_{25}, P') → K_{26}
  873. Mirror(C_{18}, Q) → L_{26}
  874. Mirror(D_{18}, Q) → M_{26}
  875. Mirror(E_{18}, Q) → N_{26}
  876. Mirror(F_{18}, Q) → O_{26}
  877. Mirror(G_{18}, Q) → P_{26}
  878. Mirror(H_{18}, Q) → Q_{26}
  879. Mirror(I_{18}, Q) → R_{26}
  880. Mirror(J_{18}, Q) → S_{26}
  881. Mirror(L', d) → L''_3
  882. Mirror(I_4, d) → T_{26}
  883. Mirror(I_2, d) → U_{26}
  884. Polygon(L''_3, T_{26}, U_{26}) → poly70', u_{26}, l''_3, t_{22}
  885. Mirror(D_2, d) → V_{26}
  886. Mirror(I_4, d) → W_{26}
  887. Mirror(F_2, d) → Z_{26}
  888. Polygon(V_{26}, W_{26}, Z_{26}) → poly52', z_{26}, v_{26}, w_{26}
  889. Mirror(D_2, d) → A_{27}
  890. Mirror(I_4, d) → B_{27}
  891. Mirror(K_1, d) → C_{27}
  892. Polygon(A_{27}, B_{27}, C_{27}) → poly54', c_{27}, a_{27}, b_{27}
  893. Mirror(L', d) → L''_4
  894. Mirror(D_2, d) → D_{27}
  895. Mirror(F_2, d) → E_{27}
  896. Polygon(L''_4, D_{27}, E_{27}) → poly55', e_{27}, l''_4, d_{20}
  897. Line(J, i) → q_1
  898. Line(S, m) → s_1
  899. Vector(D_1, S) → v_1
  900. Vector(D_1, C_1) → w_1
  901. Line(Q, V) → b_2
  902. Mirror(L', b_2) → L''_5
  903. Mirror(I_4, b_2) → F_{27}
  904. Mirror(I_2, b_2) → G_{27}
  905. Polygon(L''_5, F_{27}, G_{27}) → poly70'_1, g_{27}, l''_5, f_{27}

AI Drawing Prompt Reference

Draw a plane construction starting from a base line through two given points. Pick an external point and construct two perpendicular helper lines through it to obtain two additional points. From the intersections between appropriate helper lines, determine a main intersection point, then take the midpoints of several key segments in a chained order to generate a sequence of midpoint points. Use these midpoints to build the symmetric rhombus/parallelogram framework, reflecting the direction implied by the midpoint relationships. Keep the main intersection and all created midpoint points so the geometric shape and its structure are clearly represented.
The prompt above was compiled from the original drawing commands and is for reference only.