Geometric Construction Example by chris cambré

Geometric Construction Example by chris cambré
Loading the math board and drawing, please wait…
2020-05-14 00:51
This example demonstrates the precise construction and transformation of geometric figures using GeoGebra. It involves core mathematical concepts such as straight lines, polygons, reflection, ratios, and continuity. Key construction steps include commands like Polygon, PolyLine, Mirror, Line, Segment, Point, and Intersect. Suitable for high school mathematics education or for enthusiasts learning complex geometric constructions.

GeoGebra Commands & Parameters

  1. ConstructionStep() → stap
  2. Polygon(C, D, E, F, G, H) → veelhoek1, c, d, e, f, g, h
  3. PolyLine(C, D, E, F, G, H, C) → i
  4. Mirror(C, yAxis) → C'
  5. Mirror(D, yAxis) → D'
  6. Mirror(E, yAxis) → E'
  7. Mirror(F, yAxis) → F'
  8. Mirror(G, yAxis) → G'
  9. Mirror(H, yAxis) → H'
  10. Mirror(C, yAxis) → C'_1
  11. PolyLine(C', D', E', F', G', H', C'_1) → i'
  12. Mirror(C, yAxis) → C'_2
  13. Mirror(D, yAxis) → D'_1
  14. Mirror(E, yAxis) → E'_1
  15. Mirror(F, yAxis) → F'_1
  16. Mirror(G, yAxis) → G'_1
  17. Mirror(H, yAxis) → H'_1
  18. Polygon(C'_2, D'_1, E'_1, F'_1, G'_1, H'_1) → veelhoek1', c'_2, d'_1, e'_1, f'_1, g'_1, h'_1
  19. PolyLine(J, K, L, M, N, O, P, I, J) → j
  20. Polygon(I, J, K, L, M, N, O, P) → veelhoek2, i_1, j_1, k, l, m, n, o, p
  21. Mirror(J, yAxis) → J'
  22. Mirror(K, yAxis) → K'
  23. Mirror(L, yAxis) → L'
  24. Mirror(M, yAxis) → M'
  25. Mirror(N, yAxis) → N'
  26. Mirror(O, yAxis) → O'
  27. Mirror(P, yAxis) → P'
  28. Mirror(I, yAxis) → I'
  29. Mirror(J, yAxis) → J'_1
  30. PolyLine(J', K', L', M', N', O', P', I', J'_1) → j'
  31. Mirror(I, yAxis) → I'_1
  32. Mirror(J, yAxis) → J'_2
  33. Mirror(K, yAxis) → K'_1
  34. Mirror(L, yAxis) → L'_1
  35. Mirror(M, yAxis) → M'_1
  36. Mirror(N, yAxis) → N'_1
  37. Mirror(O, yAxis) → O'_1
  38. Mirror(P, yAxis) → P'_1
  39. Polygon(I'_1, J'_2, K'_1, L'_1, M'_1, N'_1, O'_1, P'_1) → veelhoek2', i'_1, j'_2, k'_1, l'_1, m'_1, n'_1, o'_1, p'_1
  40. PolyLine(R, V, U, Z, T, S, W, Q, R) → q
  41. Mirror(R, yAxis) → R'
  42. Mirror(V, yAxis) → V'
  43. Mirror(U, yAxis) → U'
  44. Mirror(Z, yAxis) → Z'
  45. Mirror(T, yAxis) → T'
  46. Mirror(S, yAxis) → S'
  47. Mirror(W, yAxis) → W'
  48. Mirror(Q, yAxis) → Q'
  49. Mirror(R, yAxis) → R'_1
  50. PolyLine(R', V', U', Z', T', S', W', Q', R'_1) → q'
  51. Polygon(R, V, U, Z, T, S, W, Q) → veelhoek3, r, v, u, z_1, t, s, w, q_1
  52. Mirror(R, yAxis) → R'_2
  53. Mirror(V, yAxis) → V'_1
  54. Mirror(U, yAxis) → U'_1
  55. Mirror(Z, yAxis) → Z'_1
  56. Mirror(T, yAxis) → T'_1
  57. Mirror(S, yAxis) → S'_1
  58. Mirror(W, yAxis) → W'_1
  59. Mirror(Q, yAxis) → Q'_1
  60. Polygon(R'_2, V'_1, U'_1, Z'_1, T'_1, S'_1, W'_1, Q'_1) → veelhoek3', r'_2, v'_1, u'_1, z'_1, t'_1, s'_1, w'_1, q'_1
  61. PolyLine(D, C_1, A_1, B_1, H, G, F, E) → a
  62. Mirror(D, yAxis) → D'_2
  63. Mirror(C_1, yAxis) → D_1
  64. Mirror(A_1, yAxis) → E_1
  65. Mirror(B_1, yAxis) → F_1
  66. Mirror(H, yAxis) → H'_2
  67. Mirror(G, yAxis) → G'_2
  68. Mirror(F, yAxis) → F'_2
  69. Mirror(E, yAxis) → E'_2
  70. PolyLine(D'_2, D_1, E_1, F_1, H'_2, G'_2, F'_2, E'_2) → a'
  71. Polygon(D, C_1, A_1, B_1, H, G, F, E) → veelhoek4, d_1, c_1, a_1, b_1, h_1, g_1, f_1, e_1
  72. Mirror(D, yAxis) → D'_3
  73. Mirror(C_1, yAxis) → G_1
  74. Mirror(A_1, yAxis) → H_1
  75. Mirror(B_1, yAxis) → I_1
  76. Mirror(H, yAxis) → H'_3
  77. Mirror(G, yAxis) → G'_3
  78. Mirror(F, yAxis) → F'_3
  79. Mirror(E, yAxis) → E'_3
  80. Polygon(D'_3, G_1, H_1, I_1, H'_3, G'_3, F'_3, E'_3) → veelhoek4', d'_3, b, k_1, l_1, h'_3, g'_3, f'_3, e'_3
  81. PolyLine(I, J_1, K_1, L_1, M_1, P) → m_1
  82. Mirror(I, yAxis) → I'_2
  83. Mirror(J_1, yAxis) → N_1
  84. Mirror(K_1, yAxis) → O_1
  85. Mirror(L_1, yAxis) → P_1
  86. Mirror(M_1, yAxis) → Q_1
  87. Mirror(P, yAxis) → P'_2
  88. PolyLine(I'_2, N_1, O_1, P_1, Q_1, P'_2) → n_1
  89. Polygon(J_1, K_1, J, I, L_1, M_1, P, O, N, M, L, K) → veelhoek5, p_1, k_2, j_2, i_2, r_1, s_1, t_1, p_2, o_1, n_2, m_2, l_2
  90. Mirror(J_1, yAxis) → R_1
  91. Mirror(K_1, yAxis) → S_1
  92. Mirror(L_1, yAxis) → T_1
  93. Mirror(M_1, yAxis) → U_1
  94. Mirror(P, yAxis) → P'_3
  95. Mirror(O, yAxis) → O'_2
  96. Mirror(N, yAxis) → N'_2
  97. Mirror(M, yAxis) → M'_2
  98. Mirror(L, yAxis) → L'_2
  99. Mirror(K, yAxis) → K'_2
  100. Mirror(J, yAxis) → J'_3
  101. Mirror(I, yAxis) → I'_3
  102. Polygon(R_1, S_1, J'_3, I'_3, T_1, U_1, P'_3, O'_2, N'_2, M'_2, L'_2, K'_2) → veelhoek5', f_2, k'_2, j'_3, i'_3, g_2, h_2, u_1, p'_3, o'_2, n'_2, m'_2, l'_2
  103. Line(Z_1, A_2) → ver
  104. PolyLine(V, V_1, W_1, T) → q_2
  105. Mirror(Q, yAxis) → Q'_2
  106. Mirror(R, yAxis) → R'_3
  107. Segment(Q'_2, R'_3) → r_2
  108. Mirror(V, ver) → V'_2
  109. Mirror(V_1, ver) → B_2
  110. Mirror(W_1, ver) → C_2
  111. Mirror(T, ver) → T'_2
  112. PolyLine(V'_2, B_2, C_2, T'_2) → s_2
  113. Mirror(V, yAxis) → V'_3
  114. Mirror(V_1, yAxis) → D_2
  115. Mirror(W_1, yAxis) → E_2
  116. Mirror(T, yAxis) → T'_3
  117. PolyLine(V'_3, D_2, E_2, T'_3) → t_2
  118. Mirror(V'_2, yAxis) → F_2
  119. Mirror(B_2, yAxis) → G_2
  120. Mirror(C_2, yAxis) → H_2
  121. Mirror(T'_2, yAxis) → I_2
  122. PolyLine(F_2, G_2, H_2, I_2) → a_2
  123. Polygon(V, V_1, W_1, T, Z, U) → veelhoek6, v_1, b_2, w_1, t_3, z_2, u_2
  124. Mirror(V, yAxis) → V'_4
  125. Mirror(V_1, yAxis) → J_2
  126. Mirror(W_1, yAxis) → K_2
  127. Mirror(T, yAxis) → T'_4
  128. Mirror(Z, yAxis) → Z'_2
  129. Mirror(U, yAxis) → U'_2
  130. Polygon(V'_4, J_2, K_2, T'_4, Z'_2, U'_2) → veelhoek6', v'_4, c_2, d_2, t'_4, z'_2, u'_2
  131. Mirror(V, ver) → V'_5
  132. Mirror(V_1, ver) → L_2
  133. Mirror(W_1, ver) → M_2
  134. Mirror(T, ver) → T'_5
  135. Mirror(Z, ver) → Z'_3
  136. Mirror(U, ver) → U'_3
  137. Polygon(V'_5, L_2, M_2, T'_5, Z'_3, U'_3) → veelhoek6'_1, v'_5, e_2, f_3, t'_5, z'_3, u'_3
  138. Mirror(V'_5, yAxis) → N_2
  139. Mirror(L_2, yAxis) → O_2
  140. Mirror(M_2, yAxis) → P_2
  141. Mirror(T'_5, yAxis) → Q_2
  142. Mirror(Z'_3, yAxis) → R_2
  143. Mirror(U'_3, yAxis) → S_2
  144. Polygon(N_2, O_2, P_2, Q_2, R_2, S_2) → veelhoek7, g_3, o_2, h_3, i_3, j_3, k_3
  145. Segment(C_1, T_2) → l_3
  146. Point(a) → U_2
  147. Point(s_2) → V_2
  148. Segment(U_2, V_2) → m_3
  149. Mirror(C_1, yAxis) → A_3
  150. Mirror(T_2, yAxis) → B_3
  151. Segment(A_3, B_3) → p_3
  152. Point(q_2) → W_2
  153. Segment(W_2, Z_2) → n_3
  154. Point(a') → G_3
  155. Segment(G_3, B_1) → s_3
  156. Point(a) → H_3
  157. Point(a') → I_3
  158. Point(m_1) → J_3
  159. Segment(H_3, J_3) → a_3
  160. Point(m_1) → K_3
  161. Point(n_1) → L_3
  162. Point(n_1) → M_3
  163. Segment(K_3, L_3) → b_3
  164. Segment(M_3, I_3) → c_3
  165. Point(a') → C_3
  166. Point(a_2) → D_3
  167. Segment(C_3, D_3) → q_3
  168. Mirror(W_2, yAxis) → E_3
  169. Mirror(Z_2, yAxis) → F_3
  170. Segment(E_3, F_3) → r_3
  171. Point(m_3) → N_3
  172. Point(a_3) → O_3
  173. Polygon(U_2, N_3, O_3, H_3, A_1) → veelhoek8, d_3, e_3, o_3, f_4, g_4
  174. Mirror(I, yAxis) → I'_4
  175. Mirror(J, yAxis) → J'_4
  176. Mirror(K, yAxis) → K'_3
  177. Mirror(L, yAxis) → L'_3
  178. Mirror(M, yAxis) → M'_3
  179. Mirror(N, yAxis) → N'_3
  180. Mirror(O, yAxis) → O'_3
  181. Mirror(P, yAxis) → P'_4
  182. Mirror(U_2, yAxis) → P_3
  183. Mirror(N_3, yAxis) → Q_3
  184. Mirror(O_3, yAxis) → R_3
  185. Mirror(H_3, yAxis) → S_3
  186. Mirror(A_1, yAxis) → T_3
  187. Polygon(P_3, Q_3, R_3, S_3, T_3) → veelhoek8', h_4, i_4, j_4, k_4, l_4
  188. PolyLine(U_2, N_3, O_3, H_3) → m_4
  189. PolyLine(R_3, Q_3, P_3, T_3, S_3) → n_4
  190. Polygon(N_3, V_2, C_2, T, U_3) → veelhoek9, p_4, v_2, q_4, t_4, u_3
  191. Mirror(N_3, yAxis) → V_3
  192. Mirror(V_2, yAxis) → W_3
  193. Mirror(C_2, yAxis) → Z_3
  194. Mirror(T, yAxis) → T'_6
  195. Mirror(U_3, yAxis) → A_4
  196. Polygon(V_3, W_3, Z_3, T'_6, A_4) → veelhoek9', v_3, w_3, z_3, t'_6, a_4
  197. PolyLine(N_3, U_3, T, C_2, V_2) → r_4
  198. PolyLine(Q_3, A_4, T'_6, Z_3, W_3) → s_4
  199. Polygon(Z_2, B_4, T, W_1, W_2) → veelhoek10, b_4, c_4, t_5, d_4, w_2
  200. Mirror(Z_2, yAxis) → C_4
  201. Mirror(B_4, yAxis) → D_4
  202. Mirror(T, yAxis) → T'_7
  203. Mirror(W_1, yAxis) → E_4
  204. Mirror(W_2, yAxis) → F_4
  205. Polygon(C_4, D_4, T'_7, E_4, F_4) → veelhoek10', e_4, f_5, t'_7, g_5, h_5
  206. PolyLine(W_1, W_2, Z_2, B_4, T) → i_5
  207. Mirror(W_1, yAxis) → G_4
  208. Mirror(W_2, yAxis) → H_4
  209. Mirror(Z_2, yAxis) → I_4
  210. Mirror(B_4, yAxis) → J_4
  211. Mirror(T, yAxis) → T'_8
  212. PolyLine(G_4, H_4, I_4, J_4, T'_8) → j_5
  213. Polygon(O_3, K_4, L_4, K_1, J_3) → veelhoek11, k_5, l_5, m_5, n_5, p_5
  214. PolyLine(O_3, K_4, L_4, K_1, J_3, O_3) → q_5
  215. Mirror(K_3, vgl1) → Q_4
  216. Mirror(L_1, vgl1) → R_4
  217. Mirror(K_4, vgl1) → S_4
  218. Mirror(K_1, vgl1) → T_4
  219. Mirror(J_3, vgl1) → U_4
  220. Mirror(O_3, vgl1) → V_4
  221. Mirror(L_4, vgl1) → W_4
  222. Polygon(W_4, S_4, V_4, U_4, T_4) → veelhoek12, w_4, r_5, v_4, u_4, s_5
  223. PolyLine(V_4, U_4, T_4, W_4, S_4, V_4) → a_5
  224. Intersect(vgl1, b_3) → A_5
  225. Polygon(A_5, K_3, L_1, L_4, Z_4) → veelhoek13, b_5, c_5, d_5, e_5, z_4
  226. Mirror(Z_4, vgl1) → B_5
  227. Polygon(Q_4, A_5, B_5, W_4, R_4) → veelhoek14, f_6, g_6, h_6, i_6, j_6
  228. PolyLine(L_4, Z_4, A_5, K_3, L_1) → k_6
  229. PolyLine(Q_4, A_5, B_5, W_4, R_4) → l_6
  230. Mirror(N_4, vgl1) → C_5
  231. Mirror(M_4, vgl1) → D_5
  232. Mirror(P_4, vgl1) → E_5
  233. Mirror(O_4, vgl1) → F_5
  234. Polygon(K_4, O_3, N_3, U_3, P_4, O_4, N_4, M_4) → veelhoek15, m_6, n_6, p_6, q_6, r_6, o_4, s_6, t_6
  235. Mirror(U_3, vgl1) → G_5
  236. Mirror(N_3, vgl1) → H_5
  237. Polygon(E_5, G_5, H_5, V_4, S_4, D_5, C_5, F_5) → veelhoek16, a_6, b_6, c_6, d_6, e_6, f_7, g_7, h_7
  238. PolyLine(U_3, P_4, O_4, N_4, M_4, K_4) → i_7
  239. PolyLine(S_4, D_5, C_5, F_5, E_5, G_5) → j_7
  240. Segment(K_4, Z_4) → k_7
  241. Segment(B_5, S_4) → l_7
  242. Polygon(K_4, Z_4, L_4) → driehoek1, m_7, n_7, p_7
  243. Polygon(B_5, S_4, W_4) → driehoek2, q_7, r_7, s_7
  244. Point(vgl1) → J_5
  245. Mirror(I_5, vgl1) → K_5
  246. Polygon(Z_4, I_5, J_5, K_5, B_5, A_5) → veelhoek17, t_7, a_7, b_7, c_7, d_7, e_7
  247. PolyLine(Z_4, I_5, J_5, K_5, B_5) → f_8
  248. Segment(U_3, B_4) → g_8
  249. Mirror(B_4, vgl1) → L_5
  250. Segment(G_5, L_5) → h_8
  251. Polygon(U_3, T, B_4) → driehoek3, i_8, j_8, t_8
  252. Mirror(T, vgl1) → T'_9
  253. Polygon(G_5, L_5, T'_9) → driehoek4, t'_9, k_8, l_8
  254. Point(i_5) → M_5
  255. Mirror(M_5, vgl1) → P_5
  256. Mirror(N_5, vgl1) → Q_5
  257. Mirror(O_5, vgl1) → R_5
  258. Polygon(B_4, M_5, N_5, O_5) → vierhoek1, m_8, n_8, p_8, o_5
  259. Polygon(L_5, R_5, Q_5, P_5) → vierhoek2, q_8, r_8, s_8, a_8
  260. PolyLine(M_5, N_5, O_5, B_4) → b_8
  261. PolyLine(L_5, R_5, Q_5, P_5) → i_{10}
  262. PolyLine(Q_5, P_5, L_5, R_5) → c_8
  263. Segment(P_4, M_4) → d_8
  264. Segment(D_5, E_5) → e_8
  265. Polygon(P_4, M_4, N_4, O_4) → vierhoek3, f_9, g_9, h_9, i_9
  266. Polygon(D_5, E_5, F_5, C_5) → vierhoek4, j_9, k_9, l_9, m_9
  267. Point(i_7) → S_5
  268. Intersect(ver, g_8) → U_5
  269. Polygon(U_5, T_5, S_5, U_3) → vierhoek5, u_5, n_9, p_9, q_9
  270. Polygon(U_5, B_4, O_5, V_5) → vierhoek6, r_9, s_9, t_9, v_5
  271. Mirror(S_5, vgl1) → W_5
  272. Mirror(T_5, vgl1) → Z_5
  273. Mirror(U_5, vgl1) → A_6
  274. Mirror(V_5, vgl1) → B_6
  275. PolyLine(S_5, T_5, U_5, V_5, O_5) → a_9
  276. Polygon(W_5, Z_5, A_6, G_5) → vierhoek7, w_5, z_5, b_9, c_9
  277. Polygon(A_6, B_6, R_5, L_5) → vierhoek8, d_9, e_9, f_{10}, g_{10}
  278. PolyLine(W_5, Z_5, A_6, B_6, R_5) → h_{10}
  279. Mirror(C_6, vgl1) → D_6
  280. Polygon(Z_2, N_5, M_5) → driehoek5, j_{10}, k_{10}, l_{10}
  281. Mirror(Z_2, vgl1) → E_6
  282. Polygon(E_6, P_5, Q_5) → driehoek6, m_{10}, n_{10}, p_{10}
  283. Segment(Z_2, N_5) → q_{10}
  284. Segment(Q_5, E_6) → r_{10}
  285. Polygon(N_5, C_6, O_5) → driehoek7, s_{10}, t_{10}, a_{10}
  286. Polygon(R_5, D_6, Q_5) → driehoek8, b_{10}, c_{10}, d_{10}
  287. PolyLine(N_5, C_6, O_5) → e_{10}
  288. PolyLine(R_5, D_6, Q_5) → f_{11}
  289. Point(k_7) → H_6
  290. Mirror(G_6, vgl1) → J_6
  291. Mirror(H_6, vgl1) → K_6
  292. Mirror(I_6, vgl1) → L_6
  293. Polygon(M_4, G_6, H_6, K_4) → vierhoek9, g_{11}, h_{11}, i_{11}, j_{11}
  294. Polygon(H_6, I_6, I_5, Z_4) → vierhoek10, k_{11}, l_{11}, m_{11}, n_{11}
  295. PolyLine(M_4, G_6, H_6, I_6, I_5) → p_{11}
  296. Polygon(K_5, L_6, K_6, B_5) → vierhoek11, q_{11}, r_{11}, s_{11}, t_{11}
  297. Polygon(K_6, J_6, D_5, S_4) → vierhoek12, a_{11}, b_{11}, c_{11}, d_{11}
  298. PolyLine(K_5, L_6, K_6, J_6, D_5) → e_{11}
  299. Polygon(I_5, K_5, J_5) → driehoek9, f_{12}, g_{12}, h_{12}
  300. Segment(I_5, K_5) → i_{12}
  301. Polygon(V_5, T_5, U_5) → driehoek10, j_{12}, k_{12}, l_{12}
  302. Segment(T_5, V_5) → m_{12}
  303. Segment(Z_5, B_6) → n_{12}
  304. Polygon(Z_5, B_6, A_6) → driehoek11, p_{12}, q_{12}, r_{12}
  305. Mirror(M_6, vgl1) → O_6
  306. Mirror(N_6, vgl1) → P_6
  307. Mirror(R_6, vgl1) → T_6
  308. Point(i_{12}) → V_6
  309. Point(p_{11}) → W_6
  310. Mirror(W_6, vgl1) → Z_6
  311. Mirror(V_6, vgl1) → A_7
  312. Mirror(U_6, vgl1) → B_7
  313. Polygon(T_5, G_6, M_4, S_5) → vierhoek13, s_{12}, t_{12}, a_{12}, b_{12}
  314. Polygon(J_6, Z_5, W_5, D_5) → vierhoek14, c_{12}, d_{12}, e_{12}, f_{13}
  315. Segment(T_5, G_6) → g_{13}
  316. Segment(J_6, Z_5) → h_{13}
  317. Polygon(G_6, I_6, H_6) → driehoek12, i_{13}, j_{13}, k_{13}
  318. Polygon(L_6, J_6, K_6) → driehoek13, l_{13}, m_{13}, n_{13}
  319. Segment(G_6, I_6) → p_{13}
  320. Segment(L_6, J_6) → q_{13}
  321. Polygon(I_6, U_6, W_6) → driehoek14, w_6, r_{13}, u_6
  322. Polygon(B_7, L_6, Z_6) → driehoek15, z_6, s_{13}, t_{13}
  323. PolyLine(I_6, U_6, W_6) → a_{13}
  324. PolyLine(Z_6, B_7, L_6) → b_{13}
  325. Mirror(Q_6, vgl1) → S_6
  326. Polygon(M_6, Q_6, V_5) → driehoek16, c_{13}, d_{13}, e_{13}
  327. Polygon(S_6, O_6, B_6) → driehoek17, f_{14}, g_{14}, o_6
  328. PolyLine(M_6, Q_6, V_5) → h_{14}
  329. PolyLine(B_6, S_6, O_6) → i_{14}
  330. Polygon(C_6, R_6, N_6) → driehoek18, j_{14}, k_{14}, l_{14}
  331. Polygon(D_6, P_6, T_6) → driehoek19, m_{14}, n_{14}, p_{14}
  332. PolyLine(C_6, R_6, N_6) → q_{14}
  333. PolyLine(P_6, T_6, D_6) → r_{14}
  334. Point(g_{13}) → C_7
  335. Point(g_{13}) → D_7
  336. Point(h_{13}) → E_7
  337. Point(h_{13}) → F_7
  338. Mirror(G_7, vgl1) → H_7
  339. Mirror(I_7, vgl1) → J_7
  340. Mirror(K_7, vgl1) → L_7
  341. Mirror(M_7, vgl1) → N_7
  342. Polygon(C_6, M_7, R_6) → driehoek20, s_{14}, t_{14}, a_{14}
  343. PolyLine(C_6, M_7, R_6) → b_{14}
  344. Polygon(D_6, T_6, N_7) → driehoek21, c_{14}, d_{14}, e_{14}
  345. PolyLine(T_6, N_7, D_6) → f_{15}
  346. Mirror(O_7, vgl1) → P_7
  347. Polygon(Q_6, O_7, V_5) → driehoek22, g_{15}, h_{15}, o_7
  348. Polygon(S_6, B_6, P_7) → driehoek23, i_{15}, j_{15}, k_{15}
  349. PolyLine(Q_6, O_7, V_5) → l_{15}
  350. PolyLine(B_6, P_7, S_6) → m_{15}
  351. Polygon(T_5, G_7, C_7) → driehoek24, n_{15}, p_{15}, q_{15}
  352. Polygon(Z_5, F_7, H_7) → driehoek25, r_{15}, s_{15}, t_{15}
  353. PolyLine(T_5, G_7, C_7) → a_{15}
  354. PolyLine(F_7, H_7, Z_5) → b_{15}
  355. Polygon(D_7, I_7, G_6) → driehoek26, c_{15}, d_{15}, e_{15}
  356. Polygon(E_7, J_6, J_7) → driehoek27, f_{16}, g_{16}, h_{16}
  357. PolyLine(D_7, I_7, G_6) → i_{16}
  358. PolyLine(J_6, J_7, E_7) → j_{16}
  359. Mirror(R_7, vgl1) → S_7
  360. Mirror(Q_7, vgl1) → T_7
  361. Mirror(U_7, vgl1) → V_7
  362. Polygon(W_6, Q_7, R_7, U_7, V_7, S_7, T_7, Z_6) → veelhoek18, k_{16}, l_{16}, m_{16}, u_7, v_7, n_{16}, p_{16}, q_{16}
  363. PolyLine(U_6, Q_7, R_7, U_7, V_7, S_7, T_7, B_7) → r_{16}
  364. Polygon(I_6, K_7, U_6) → driehoek28, s_{16}, t_{16}, a_{16}
  365. Polygon(B_7, L_7, L_6) → driehoek29, b_{16}, c_{16}, d_{16}
  366. PolyLine(I_6, K_7, U_6) → e_{16}
  367. PolyLine(B_7, L_7, L_6) → f_{17}
  368. Polygon(M_6, N_6, W_7, Z_7) → vierhoek15, g_{17}, h_{17}, w_7, z_7
  369. Mirror(W_7, vgl1) → A_8
  370. Mirror(Z_7, vgl1) → B_8
  371. PolyLine(R_6, W_7, Z_7, Q_6) → i_{17}
  372. Polygon(A_8, P_6, O_6, B_8) → vierhoek22, c_{18}, d_{18}, e_{18}, f_{19}
  373. PolyLine(S_6, B_8, A_8, T_6) → g_{19}
  374. PolyLine(S_6, B_8, A_8, T_6) → j_{17}
  375. Mirror(V_5, vgl1) → C_8
  376. Mirror(T_5, vgl1) → D_8
  377. Polygon(O_7, G_7, T_5, V_5) → vierhoek16, k_{17}, l_{17}, m_{17}, n_{17}
  378. Polygon(P_7, C_8, D_8, H_7) → vierhoek17, p_{17}, q_{17}, r_{17}, s_{17}
  379. Segment(G_7, O_7) → t_{17}
  380. Segment(H_7, P_7) → a_{17}
  381. Polygon(G_7, I_7, D_7, C_7) → vierhoek18, b_{17}, c_{17}, d_{17}, e_{17}
  382. Segment(G_7, I_7) → f_{18}
  383. Segment(J_7, H_7) → g_{18}
  384. Polygon(J_7, H_7, F_7, E_7) → vierhoek19, h_{18}, i_{18}, j_{18}, k_{18}
  385. Polygon(I_7, K_7, I_6, G_6) → vierhoek20, l_{18}, m_{18}, n_{18}, p_{18}
  386. Polygon(L_7, J_7, J_6, L_6) → vierhoek21, q_{18}, r_{18}, s_{18}, t_{18}
  387. Segment(I_7, K_7) → a_{18}
  388. Segment(L_7, J_7) → b_{18}
  389. Polygon(Z_7, O_7, Q_6) → driehoek30, h_{19}, i_{19}, j_{19}
  390. Polygon(W_7, R_6, M_7) → driehoek31, k_{19}, l_{19}, m_{19}
  391. Polygon(P_7, B_8, S_6) → driehoek32, n_{19}, p_{19}, q_{19}
  392. Polygon(T_6, A_8, N_7) → driehoek33, r_{19}, s_{19}, t_{19}
  393. Segment(O_7, Z_7) → a_{19}
  394. Segment(W_7, M_7) → b_{19}
  395. Segment(P_7, B_8) → c_{19}
  396. Segment(A_8, N_7) → d_{19}
  397. Mirror(E_8, vgl1) → F_8
  398. Polygon(U_6, K_7, Q_7) → driehoek36, k_{20}, l_{20}, m_{20}
  399. Point(vgl1) → O_8
  400. Polygon(R_7, O_8, U_7) → driehoek37, n_{20}, p_{20}, o_8
  401. Polygon(O_8, S_7, V_7) → driehoek38, q_{20}, r_{20}, s_{20}
  402. Polygon(T_7, L_7, B_7) → driehoek39, t_{20}, a_{20}, b_{20}
  403. Segment(K_7, Q_7) → c_{20}
  404. Segment(R_7, O_8) → d_{20}
  405. Segment(O_8, S_7) → e_{20}
  406. Segment(T_7, L_7) → f_{21}
  407. Polygon(W_7, M_7, E_8) → driehoek34, e_{19}, f_{20}, g_{20}
  408. Polygon(A_8, F_8, N_7) → driehoek35, h_{20}, i_{20}, j_{20}
  409. Point(ver) → H_8
  410. Mirror(H_8, vgl1) → K_8
  411. Mirror(G_8, vgl1) → L_8
  412. Mirror(J_8, vgl1) → M_8
  413. Mirror(I_8, vgl1) → N_8
  414. Polygon(Z_7, G_8, H_8, I_8, J_8, Q_7, K_7, I_7, G_7, O_7) → veelhoek19, g_{21}, q_{21}, h_{21}, i_{21}, j_{21}, k_{21}, l_{21}, m_{21}, n_{21}, p_{21}
  415. Polygon(B_8, P_7, H_7, J_7, L_7, T_7, M_8, N_8, K_8, L_8) → veelhoek20, r_{21}, g_{22}, s_{21}, t_{21}, a_{21}, b_{21}, c_{21}, d_{21}, e_{21}, f_{22}
  416. PolyLine(Z_7, G_8, H_8, I_8, J_8, Q_7) → h_{22}
  417. PolyLine(B_8, L_8, K_8, N_8, M_8, T_7) → i_{22}
  418. Polygon(R_7, S_7, O_8) → driehoek40, j_{22}, k_{22}, l_{22}
  419. Segment(R_7, S_7) → m_{22}
  420. PolyLine(M_7, E_8, W_7) → n_{22}
  421. Polygon(E_8, Z_7, K_8, L_8, B_8, F_8, P_8, Q_8, G_8, H_8, I_8, J_8, Q_7, T_7, M_8, N_8) → veelhoek21, p_{22}, e_{22}, f_{23}, g_{23}, h_{23}, i_{23}, j_{23}, k_{23}, q_{22}, r_{22}, s_{22}, t_{22}, a_{22}, b_{22}, c_{22}, d_{22}
  422. PolyLine(E_8, Q_8, P_8, F_8) → l_{23}
  423. Polygon(E_8, R_8, Z_8, E_9, A_9, F_8, F_9, G_9, B_9, S_8, C_9, T_8, U_8, V_8, W_8, D_9) → veelhoek22, m_{23}, t_{23}, z_8, a_{23}, b_{23}, c_{23}, d_{23}, e_{23}, n_{23}, p_{23}, q_{23}, r_{23}, s_{23}, u_8, v_8, w_8
  424. PolyLine(E_8, R_8, B_9, S_8, C_9, D_9, Z_8, E_9, A_9, F_8) → f_{24}
  425. Polygon(R_8, H_9, I_9, A_9, E_9, Z_8, D_9, C_9, S_8, B_9) → veelhoek23, g_{24}, q_{24}, h_{24}, i_{24}, j_{24}, k_{24}, l_{24}, m_{24}, n_{24}, p_{24}
  426. Polygon(H_9, I_9, V_8, U_8) → vierhoek23, r_{24}, s_{24}, t_{24}, a_{24}
  427. Segment(H_9, U_8) → b_{24}
  428. Segment(I_9, V_8) → c_{24}
  429. Segment(R_8, H_9) → d_{24}
  430. Segment(I_9, A_9) → e_{24}