十二和九边星形图案

GeoGebra 命令及参数

1. Intersect(xAxis, yAxis) → A
2. ConstructionStep() → stap
3. Point(xAxis) → B
4. Circle(A, B) → c
5. Circle(B, A) → d
6. Intersect(c, d, 2) → C
7. Circle(C, A) → e
8. Polygon(A, B, C) → driehoek1, c_1, a, b
9. Intersect(d, e, 2) → D
10. Segment(B, D) → f
11. Intersect(c, e, 2) → E
12. Segment(E, D) → g
13. Line(A, B) → h
14. OrthogonalLine(A, h) → i
15. Intersect(i, g) → F
16. Segment(A, F) → j
17. OrthogonalLine(D, h) → k
18. Intersect(h, k) → G
19. Segment(D, G) → l
20. Polygon(A, F, D, G) → vierhoek1, a_1, f_1, d_1, g_1
21. Segment(A, C) → a_5
22. Segment(A, D) → m
23. AngularBisector(F, A, C) → n
24. AngularBisector(C, A, D) → p
25. AngularBisector(F, D, A) → q
26. AngularBisector(A, D, B) → r
27. AngularBisector(B, D, G) → s
28. Intersect(n, f_1) → K
29. Intersect(p, f_1) → L
30. Segment(A, K) → t
31. Segment(A, L) → h_1
32. AngularBisector(D, A, G) → i_1
33. Intersect(i_1, l) → N
34. Segment(A, N) → j_1
35. Intersect(r, c_1) → I
36. Intersect(s, g_1) → J
37. Intersect(q, j) → M
38. Segment(D, J) → k_1
39. Segment(D, I) → l_1
40. Segment(D, M) → m_1
41. Circle(A, M) → e_1
42. Circle(D, N) → p_1
43. Intersect(e_1, j_1, 1) → O
44. Intersect(e_1, h_1, 1) → P
45. Intersect(e_1, t, 1) → Q
46. Polygon(Q, P, 12) → veelhoek1, n_1, i_2, j_2, k_2, R, S, T, U, V, W, Z, q_1, A_1, B_1, C_1, r_1, s_1, t_1, b_1, f_2, g_2, h_2
47. Segment(V, B_1) → l_2
48. Segment(W, C_1) → m_2
49. Segment(Z, Q) → n_2
50. Segment(A_1, P) → p_2
51. Segment(B_1, O) → q_2
52. Segment(C_1, S) → r_2
53. Segment(Q, T) → s_2
54. Segment(P, U) → t_2
55. Segment(O, V) → a_2
56. Segment(S, W) → b_2
57. Segment(T, Z) → c_2
58. Segment(U, A_1) → d_2
59. Intersect(b_2, d_2) → D_1
60. Intersect(l_2, c_2) → E_1
61. Intersect(m_2, d_2) → F_1
62. Intersect(l_2, n_2) → G_1
63. Intersect(m_2, p_2) → H_1
64. Intersect(n_2, q_2) → I_1
65. Intersect(t, p_2) → J_1
66. Intersect(h_1, q_2) → K_1
67. Intersect(j_1, r_2) → L_1
68. Intersect(s_2, a_2) → M_1
69. Intersect(t_2, b_2) → N_1
70. Intersect(a_2, c_2) → O_1
71. PolyLine(V, E_1, T, O_1, V, Z, G_1, B_1, I_1, Q, K_1, O, M_1) → e_2
72. PolyLine(U, D_1, S, N_1, U, W, F_1, A_1, H_1, C_1, J_1, P, L_1) → f_3
73. Translate(V, Vector[A, D]) → V'
74. Translate(E_1, Vector[A, D]) → Q_1
75. Translate(Z, Vector[A, D]) → Z'
76. Translate(G_1, Vector[A, D]) → R_1
77. Translate(B_1, Vector[A, D]) → S_1
78. Translate(I_1, Vector[A, D]) → T_1
79. Translate(Q, Vector[A, D]) → Q'
80. Translate(K_1, Vector[A, D]) → U_1
81. Translate(O, Vector[A, D]) → O'
82. Translate(M_1, Vector[A, D]) → V_1
83. Translate(T, Vector[A, D]) → T'
84. Translate(O_1, Vector[A, D]) → W_1
85. Translate(V, Vector[A, D]) → V'_1
86. PolyLine(V', Q_1, T', W_1, V'_1, Z', R_1, S_1, T_1, Q', U_1, O', V_1) → g_3
87. Translate(U, Vector[A, D]) → U'
88. Translate(D_1, Vector[A, D]) → Z_1
89. Translate(W, Vector[A, D]) → W'
90. Translate(F_1, Vector[A, D]) → A_2
91. Translate(A_1, Vector[A, D]) → B_2
92. Translate(H_1, Vector[A, D]) → C_2
93. Translate(C_1, Vector[A, D]) → D_2
94. Translate(J_1, Vector[A, D]) → E_2
95. Translate(P, Vector[A, D]) → P'
96. Translate(L_1, Vector[A, D]) → F_2
97. Translate(S, Vector[A, D]) → S'
98. Translate(N_1, Vector[A, D]) → G_2
99. Translate(U, Vector[A, D]) → U'_1
100. PolyLine(U', Z_1, S', G_2, U'_1, W', A_2, B_2, C_2, D_2, E_2, P', F_2) → h_3
101. Segment(M, C) → i_3
102. Segment(B, N) → n_3
103. AngularBisector(M, C, F) → p_3
104. AngularBisector(B, C, P) → q_3
105. AngularBisector(B, C, W') → r_3
106. AngularBisector(N, B, G) → s_3
107. Intersect(e_1, m, 1) → I_2
108. Intersect(p_1, m, 1) → J_2
109. Segment(C, I_2) → j_3
110. Segment(I_2, B) → k_3
111. Segment(B, J_2) → l_3
112. Segment(J_2, C) → m_3
113. AngularBisector(I_2, C, B) → t_3
114. Intersect(p_3, j) → K_2
115. Intersect(s_3, l) → H_2
116. AngularBisector(B, C, J_2) → a_3
117. AngularBisector(I_2, B, C) → b_3
118. AngularBisector(C, B, J_2) → c_3
119. Intersect(t_3, b_3) → L_2
120. Intersect(a_3, c_3) → M_2
121. Segment(B, H_2) → d_3
122. Segment(B, M_2) → e_3
123. Segment(B, L_2) → f_4
124. Segment(C, L_2) → g_4
125. Segment(C, M_2) → h_4
126. Segment(C, K_2) → i_4
127. Intersect(a, l_1) → O_2
128. Circle(B, O_2) → c_4
129. Intersect(c_4, k_3, 1) → P_2
130. Intersect(c_4, l_3) → N_2,
131. Intersect(c_4, n_3, 1) → Q_2
132. Line(L_2, B) → j_4
133. Intersect(c_4, j_4, 2) → R_2
134. Intersect(m, e_3) → S_2
135. Line(M_2, B) → k_4
136. Intersect(c_4, k_4, 2) → T_2
137. Line(D, B) → l_4
138. Intersect(c_4, l_4, 2) → U_2
139. Line(H_2, B) → m_4
140. Intersect(c_4, m_4, 2) → V_2
141. Segment(O_2, J) → n_4
142. Segment(N_2, R_2) → p_4
143. Segment(Q_2, T_2) → q_4
144. Segment(J, U_2) → r_4
145. Segment(R_2, V_2) → s_4
146. Segment(T_2, P_2) → t_4
147. Segment(U_2, O_2) → a_4
148. Segment(V_2, N_2) → b_4
149. Segment(P_2, Q_2) → d_4
150. Intersect(r_4, s_4) → W_2
151. Intersect(t_4, a_4) → Z_2
152. Intersect(k_3, a_4) → A_3
153. Intersect(a, b_4) → B_3
154. Intersect(l_3, n_4) → C_3
155. Intersect(n_3, n_4) → D_3
156. Intersect(p_4, q_4) → E_3
157. Intersect(q_4, r_4) → F_3
158. Intersect(s_4, t_4) → G_3
159. PolyLine(T_2, G_3, U_2, Z_2, P_2, B_3, N_2, D_3, J, F_3, T_2, V_2, A_3, O_2, C_3, Q_2, E_3, R_2, W_2) → e_4
160. Circle(C, K) → c_5
161. Intersect(c_5, i_3, 1) → H_3
162. Intersect(c_5, j_3, 1) → I_3
163. Intersect(h_1, m_1) → J_3
164. Intersect(c_5, m_3, 1) → K_3
165. Line(K_2, C) → f_5
166. Intersect(c_5, f_5, 2) → L_3
167. Line(A, C) → g_5
168. Intersect(c_5, g_5, 2) → M_3
169. Line(L_2, C) → h_5
170. Intersect(c_5, h_5, 2) → N_3
171. Line(M_2, C) → i_5
172. Intersect(c_5, i_5, 2) → O_3
173. Segment(K, M_3) → j_5
174. Segment(O_3, L_3) → k_5
175. Segment(N_3, K_3) → l_5
176. Segment(M_3, J_3) → m_5
177. Segment(L_3, I_3) → n_5
178. Segment(K_3, H_3) → p_5
179. Segment(J_3, K) → q_5
180. Segment(I_3, O_3) → r_5
181. Segment(H_3, N_3) → s_5
182. Intersect(r_5, s_5) → P_3
183. Intersect(j_5, s_5) → Q_3
184. Intersect(j_5, k_5) → R_3
185. Intersect(k_5, l_5) → S_3
186. Intersect(l_5, m_5) → T_3
187. Intersect(m_3, m_5) → U_3
188. Intersect(a, n_5) → V_3
189. Intersect(j_3, p_5) → W_3
190. Intersect(i_3, q_5) → Z_3
191. PolyLine(I_3, Z_3, H_3, P_3, O_3, R_3, M_3, T_3, K_3, V_3, I_3, K, Q_3, N_3, S_3, L_3, U_3, J_3, W_3) → t_5
192. Ray(M_1, O) → b_5
193. Intersect(kk_3, b_5) → B_4
194. Circle(A, B_4) → d_5
195. Ray(K_1, O) → e_5
196. Intersect(d_5, e_5, 1) → C_4
197. Ray(J_1, P) → f_6
198. Intersect(jj_3, f_6) → D_4
199. Intersect(d_5, ii_3, 1) → E_4
200. Intersect(d_5, mm_1, 1) → F_4
201. Segment(E_4, Q) → g_6
202. Segment(Q, F_4) → h_6
203. Segment(D_4, P) → i_6
204. Ray(L_1, P) → j_6
205. Intersect(d_5, j_6, 1) → G_4
206. Segment(G_4, P) → k_6
207. Segment(B_4, O) → l_6
208. Segment(O, C_4) → m_6
209. Distance(M, M) → MM
210. Midpoint(A, D) → MI
211. Mirror(d_5, MI) → c_6
212. Mirror(E_4, MI) → H_4
213. Mirror(F_4, MI) → I_4
214. Mirror(G_4, MI) → J_4
215. Mirror(D_4, MI) → K_4
216. Mirror(B_4, MI) → L_4
217. Mirror(C_4, MI) → M_4
218. Ray(Z_3, I_3) → n_6
219. Intersect(hh_1, n_6) → N_4
220. Circle(C, N_4) → d_6
221. Intersect(d_6, tt, 1) → O_4
222. Ray(P_3, H_3) → p_6
223. Intersect(d_6, p_6, 1) → P_4
224. Ray(V_3, I_3) → q_6
225. Intersect(d_6, q_6, 1) → Q_4
226. Ray(Q_3, K) → r_6
227. Intersect(d_6, r_6, 1) → R_4
228. Ray(U_3, J_3) → s_6
229. Ray(W_3, J_3) → t_6
230. Intersect(d_6, s_6, 1) → S_4
231. Intersect(d_6, t_6, 1) → T_4
232. Ray(T_3, K_3) → a_6
233. Intersect(mm_1, a_6) → U_4
234. Ray(V_3, K_3) → b_6
235. Intersect(d_6, b_6, 1) → V_4
236. Segment(K, R_4) → e_6
237. Segment(O_4, H_3) → f_7
238. Segment(H_3, P_4) → g_7
239. Segment(Q_4, I_3) → h_7
240. Segment(I_3, N_4) → i_7
241. Segment(S_4, J_3) → j_7
242. Segment(J_3, T_4) → k_7
243. Segment(K_3, U_4) → l_7
244. Segment(K_3, V_4) → m_7
245. Mirror(E_4, MI) → W_4
246. Mirror(Q, MI) → Q'_1
247. Segment(W_4, Q'_1) → n_7
248. Mirror(Q, MI) → Q'_2
249. Mirror(F_4, MI) → Z_4
250. Segment(Q'_2, Z_4) → p_7
251. Mirror(G_4, MI) → A_5
252. Mirror(P, MI) → P'_1
253. Segment(A_5, P'_1) → q_7
254. Mirror(D_4, MI) → B_5
255. Mirror(P, MI) → P'_2
256. Segment(B_5, P'_2) → r_7
257. Mirror(B_4, MI) → C_5
258. Mirror(O, MI) → O'_1
259. Segment(C_5, O'_1) → s_7
260. Mirror(O, MI) → O'_2
261. Mirror(C_4, MI) → D_5
262. Segment(O'_2, D_5) → t_7
263. Mirror(K, MI) → K'
264. Mirror(R_4, MI) → E_5
265. Segment(K', E_5) → a_7
266. Mirror(O_4, MI) → F_5
267. Mirror(H_3, MI) → G_5
268. Segment(F_5, G_5) → b_7
269. Mirror(H_3, MI) → H_5
270. Mirror(P_4, MI) → I_5
271. Segment(H_5, I_5) → c_7
272. Mirror(Q_4, MI) → J_5
273. Mirror(I_3, MI) → K_5
274. Segment(J_5, K_5) → d_7
275. Mirror(I_3, MI) → L_5
276. Mirror(N_4, MI) → M_5
277. Segment(L_5, M_5) → e_7
278. Mirror(S_4, MI) → N_5
279. Mirror(J_3, MI) → O_5
280. Segment(N_5, O_5) → f_8
281. Mirror(J_3, MI) → P_5
282. Mirror(T_4, MI) → Q_5
283. Segment(P_5, Q_5) → g_8
284. Mirror(K_3, MI) → R_5
285. Mirror(U_4, MI) → S_5
286. Segment(R_5, S_5) → h_8
287. Mirror(K_3, MI) → T_5
288. Mirror(V_4, MI) → U_5
289. Segment(T_5, U_5) → i_8
290. Mirror(d_6, MI) → c_8
291. Segment(A_5, P'_1) → m_{11}
292. Segment(F_4, Q_4) → j_8
293. Segment(G_4, P_4) → k_8
294. Segment(D_4, S_5) → l_8
295. Segment(B_4, N_4) → m_8
296. Segment(N_4, N_5) → n_8
297. Segment(S_5, T_4) → p_8
298. Segment(Q_5, U_4) → q_8
299. Segment(S_4, M_5) → r_8
300. Segment(U_4, K_4) → s_8
301. Segment(M_5, L_4) → t_8
302. Segment(J_5, I_4) → a_8
303. Segment(I_5, J_4) → b_8
304. Intersect(a_5, j_8) → W_5
305. Intersect(f, a_8) → Z_5
306. Circle(A, W_5) → d_8
307. Circle(D, Z_5) → e_8
308. Circle(C, W_5) → c_9
309. Circle(B, Z_5) → d_9
310. Intersect(c_1, g_1) → A_6
311. Intersect(c_1, g_1) → B_6
312. Intersect(c_1, g_1) → C_6
313. Intersect(d_8, c_1) → D_6,
314. Segment(CC4, D_6) → f_9
315. Segment(UU_5, D_6) → g_9
316. Intersect(j, a_1) → E_6
317. Intersect(d_8, j) → F_6,
318. Segment(F_6, EE_4) → h_9
319. Intersect(e_8, c_9, 1) → G_6
320. Segment(G_6, D_5) → i_9
321. Segment(VV_4, G_6) → j_9
322. Intersect(e_8, l) → H_6,
323. Segment(W_4, H_6) → k_9
324. Intersect(d_9, dd_3, 1) → I_6
325. Intersect(c_6, f) → J_6,
326. Segment(EE_5, I_6) → l_9
327. Segment(FF_5, I_6) → m_9
328. Intersect(ff_4, p_8) → K_6
329. Intersect(gg_8, q_8) → L_6
330. Segment(K_6, L_6) → n_9
331. Intersect(c_8, ff_8, 1) → M_6
332. Intersect(d_9, ee_3, 1) → N_6
333. Segment(M_6, N_6) → p_9
334. Intersect(c_9, ii_4, 1) → O_6
335. Intersect(gg_4, n_8) → P_6
336. Intersect(hh_4, q_8) → Q_6
337. Point(d_6) → R_6
338. Segment(O_6, R_6) → q_9
339. Intersect(d_6, tt, 1) → S_6
340. Segment(O_6, S_6) → r_9
341. Intersect(d_6, jj_7, 1) → T_6
342. Segment(P_6, T_6) → s_9
343. Intersect(d_6, kk_7, 1) → U_6
344. Segment(Q_6, U_6) → t_9
345. Ray(S_6, O_6) → a_9
346. Intersect(j, a_1) → V_6
347. Intersect(j, a_9) → W_6
348. Segment(O_6, W_6) → b_9
349. Ray(R_6, O_6) → e_9
350. Intersect(d_6, tt, 1) → Z_6
351. Segment(F_6, Z_6) → f_{10}
352. Intersect(e_9, f_{10}) → A_7
353. Segment(O_6, A_7) → g_{10}
354. Ray(L_6, K_6) → h_{10}
355. Intersect(l_8, h_{10}) → B_7
356. Segment(B_7, K_6) → i_{10}
357. Ray(S_4, P_6) → j_{10}
358. Intersect(m_8, j_{10}) → C_7
359. Segment(C_7, P_6) → k_{10}
360. Ray(M_6, N_6) → l_{10}
361. Intersect(t_8, l_{10}) → D_7
362. Segment(N_6, D_7) → m_{10}
363. Segment(A_5, P'_1) → n_{10}
364. Ray(U_6, Q_6) → p_{10}
365. Intersect(s_8, p_{10}) → E_7
366. Segment(Q_6, E_7) → q_{10}
367. Ray(EE_5, I_6) → r_{10}
368. Segment(FF_5, H_6) → s_{10}
369. Intersect(r_{10}, s_{10}) → F_7
370. Segment(I_6, F_7) → t_{10}
371. Ray(FF_5, I_6) → a_{10}
372. Intersect(l, d_1) → G_7
373. Intersect(l, d_1) → H_7
374. Intersect(l, a_{10}) → I_7
375. Segment(I_6, I_7) → b_{10}
376. Segment(D_4, B_7) → c_{10}
377. Segment(F_6, A_7) → d_{10}
378. Intersect(e_8, mm, 1) → J_7
379. Segment(F_7, H_6) → f_{11}
380. Segment(B_5, E_7) → g_{11}
381. Segment(D_7, C_5) → e_{10}
382. Intersect(d_5, kk_3, 1) → K_7
383. Segment(C_7, K_7) → h_{11}
384. Intersect(d_6, hh_1, 1) → L_7
385. Intersect(a, q_8) → M_7
386. Segment(L_7, M_7) → i_{11}
387. Intersect(d_6, mm_1, 1) → N_7
388. Segment(M_7, N_7) → j_{11}
389. Intersect(c_8, jj_1, 1) → O_7
390. Intersect(a, r_8) → P_7
391. Segment(O_7, P_7) → k_{11}
392. Intersect(c_8, ll_1, 1) → Q_7
393. Segment(Q_7, P_7) → l_{11}
394. Polygon(A, F, D, G) → vierhoek2, a_{11}, f_{12}, d_{11}, g_{12}