十二面体的星形构造

GeoGebra 命令及参数

1. Polygon(I, A, M, O, E) → poly1, i, a_1, m, o, e
2. Polygon(O, F, T, S, E) → poly2, o_{10}, f, t, s, e_1
3. Polygon(S, G, K, I, E) → poly3, s_1, g, k, i_1, e_2
4. Polygon(T, H, P, G, S) → poly4, t_1, h, p, g_1, s_2
5. Polygon(K, G, P, N, C) → poly5, k_1, g_2, p_1, n, c
6. Polygon(C, Q, A, I, K) → poly6, c_1, q, a_2, i_2, k_2
7. Polygon(R, B, M, A, Q) → poly7, r, b_1, m_1, a_3, q_1
8. Polygon(N, D, R, Q, C) → poly8, n_1, d, r_1, q_2, c_2
9. Polygon(H, L, D, N, P) → poly9, h_1, l, d_1, n_2, p_2
10. Polygon(L, J, B, R, D) → poly10, l_1, j, b_2, r_2, d_2
11. Polygon(F, J, L, H, T) → poly11, f_1, j_1, l_2, h_2, t_2
12. Polygon(M, B, J, F, O) → poly12, m_2, b_3, j_2, f_2, o_2
13. Plane(poly1) → u
14. Plane(poly2) → v
15. Plane(poly3) → w
16. Plane(poly4) → u_1
17. Plane(poly5) → v_1
18. Plane(poly6) → w_1
19. Plane(poly7) → u_2
20. Plane(poly8) → v_2
21. Plane(poly9) → w_2
22. Plane(poly10) → c_3
23. Plane(poly11) → d_3
24. Plane(poly12) → e_3
25. IntersectPath(c_3, d_3) → f_3
26. IntersectPath(c_3, e_3) → g_3
27. IntersectPath(c_3, u) → h_3
28. IntersectPath(c_3, u_1) → i_3
29. IntersectPath(c_3, u_2) → j_3
30. IntersectPath(c_3, v) → k_3
31. IntersectPath(c_3, v_1) → l_3
32. IntersectPath(c_3, v_2) → m_3
33. IntersectPath(c_3, w) → n_3
34. IntersectPath(c_3, w_1) → p_3
35. IntersectPath(c_3, w_2) → q_3
36. IntersectPath(d_3, e_3) → r_3
37. IntersectPath(d_3, u) → s_3
38. IntersectPath(d_3, u_1) → t_3
39. IntersectPath(d_3, u_2) → a_4
40. IntersectPath(d_3, v) → b_4
41. IntersectPath(d_3, v_1) → c_4
42. IntersectPath(d_3, v_2) → d_4
43. IntersectPath(d_3, w) → e_4
44. IntersectPath(d_3, w_1) → f_4
45. IntersectPath(d_3, w_2) → g_4
46. IntersectPath(e_3, u) → h_4
47. IntersectPath(e_3, u_1) → i_4
48. IntersectPath(d_3, u_2) → j_4
49. IntersectPath(d_3, v) → k_4
50. IntersectPath(d_3, e_3) → l_4
51. IntersectPath(e_3, v) → m_4
52. IntersectPath(e_3, u_2) → n_4
53. IntersectPath(e_3, u_1) → p_4
54. IntersectPath(Plane[poly1], e_3) → q_4
55. IntersectPath(v_1, e_3) → r_4
56. IntersectPath(e_3, v_2) → s_4
57. IntersectPath(e_3, w) → t_4
58. IntersectPath(e_3, w_1) → a_5
59. IntersectPath(e_3, w_2) → b_5
60. IntersectPath(u, u_1) → c_5
61. IntersectPath(u, u_2) → d_5
62. IntersectPath(u, v) → e_5
63. IntersectPath(u, v_1) → f_5
64. IntersectPath(u, v_2) → g_5
65. IntersectPath(u, v_2) → h_5
66. IntersectPath(u, w) → i_5
67. IntersectPath(u, w_1) → j_5
68. IntersectPath(u, w_2) → k_5
69. IntersectPath(u_1, u_2) → l_5
70. IntersectPath(u_1, v) → m_5
71. IntersectPath(u_1, v_1) → n_5
72. IntersectPath(u_1, v_2) → p_5
73. IntersectPath(u_1, w) → q_5
74. IntersectPath(u_1, w_1) → r_5
75. IntersectPath(u_1, w_2) → s_5
76. IntersectPath(u_2, v) → t_5
77. IntersectPath(u_2, v_1) → a_6
78. IntersectPath(u_2, v_2) → b_6
79. IntersectPath(u_2, w) → c_6
80. IntersectPath(u_2, w_1) → d_6
81. IntersectPath(u_2, w_2) → e_6
82. IntersectPath(v, v_1) → f_6
83. IntersectPath(v, v_2) → g_6
84. IntersectPath(v, w) → h_6
85. IntersectPath(v, w_1) → i_6
86. IntersectPath(v, w_2) → j_6
87. IntersectPath(v_1, v_2) → k_6
88. IntersectPath(v_1, w) → l_6
89. IntersectPath(v_1, w_1) → m_6
90. IntersectPath(v_1, w_2) → n_6
91. IntersectPath(v_2, w) → p_6
92. IntersectPath(v_2, w_1) → q_6
93. IntersectPath(v_2, w_2) → r_6
94. IntersectPath(w, w_1) → s_6
95. IntersectPath(w, w_2) → t_6
96. IntersectPath(w_1, w_2) → a_7
97. Intersect(s_3, t_3) → U
98. Intersect(k_3, t_5) → V
99. Intersect(t_4, h_6) → W
100. Intersect(s_4, g_5) → Z
101. Intersect(s_4, n_4) → A_1
102. Intersect(l_3, k_6) → B_1
103. Intersect(p_3, j_3) → C_1
104. Intersect(e_5, j_5) → D_1
105. Intersect(j_6, b_4) → E_1
106. Intersect(q_6, s_6) → F_1
107. Intersect(d_5, g_5) → G_1
108. Intersect(b_5, q_3) → H_1
109. Polygon(V, B, J) → poly13, j_7, v_3, b_7
110. Polygon(V, J, F) → poly14, f_7, v_4, j_8
111. Polygon(V, O, F) → poly15, f_8, v_5, o_3
112. Polygon(V, M, O) → poly16, o_4, v_6, m_7
113. Polygon(V, M, B) → poly17, b_8, v_7, m_8
114. Polygon(U, F, T) → poly18, t_7, u_3, f_9
115. Polygon(U, T, S) → poly19, s_7, u_4, t_8
116. Polygon(U, S, E) → poly20, e_7, u_5, s_8
117. Polygon(U, E, O) → poly21, o_5, u_6, e_8
118. Polygon(U, O, F) → poly22, f_{10}, u_7, o_6
119. Polygon(E_1, T, H) → poly23, h_7, e_9, t_9
120. Polygon(E_1, H, P) → poly24, p_7, e_{10}, h_8
121. Polygon(E_1, P, G) → poly25, g_7, e_{11}, p_8
122. Polygon(E_1, G, S) → poly26, s_9, e_{12}, g_8
123. Polygon(E_1, S, T) → poly27, t_{10}, e_{13}, s_{10}
124. Polygon(H_1, J, L) → poly28, l_7, h_9, j_9
125. Polygon(H_1, L, H) → poly29, h_{10}, h_{11}, l_8
126. Polygon(H_1, H, T) → poly30, t_{11}, h_{12}, h_{13}
127. Polygon(H_1, T, F) → poly31, f_{11}, h_{14}, t_{12}
128. Polygon(H_1, F, J) → poly32, j_{10}, h_{15}, f_{12}
129. Polygon(B_1, L, D) → poly33, d_7, b_9, l_9
130. Polygon(B_1, D, N) → poly34, n_7, b_{10}, d_8
131. Polygon(B_1, N, P) → poly35, p_9, b_{11}, n_8
132. Polygon(B_1, P, H) → poly36, h_{16}, b_{12}, p_{10}
133. Polygon(B_1, H, L) → poly37, l_{10}, b_{13}, h_{17}
134. Polygon(L, A_1, J) → poly38, j_{11}, l_{11}, a_8
135. Polygon(A_1, J, B) → poly39, b_{14}, a_9, j_{12}
136. Polygon(A_1, B, R) → poly40, r_7, a_{10}, b_{15}
137. Polygon(A_1, R, D) → poly41, d_9, a_{11}, r_8
138. Polygon(A_1, D, L) → poly42, l_{12}, a_{12}, d_{10}
139. Polygon(Z, R, B) → poly43, b_{16}, z_1, r_9
140. Polygon(Z, B, M) → poly44, m_9, z_2, b_{17}
141. Polygon(Z, M, A) → poly45, a_{13}, z_3, m_{10}
142. Polygon(Z, A, Q) → poly46, q_7, z_4, a_{14}
143. Polygon(Z, Q, R) → poly47, r_{10}, z_5, q_8
144. Polygon(W, M, O) → poly48, o_7, w_3, m_{11}
145. Polygon(W, O, E) → poly49, e_{14}, w_4, o_8
146. Polygon(W, E, I) → poly50, i_7, w_5, e_{15}
147. Polygon(W, I, A) → poly51, a_{15}, w_6, i_8
148. Polygon(W, A, M) → poly52, m_{12}, w_7, a_{16}
149. Polygon(D_1, E, S) → poly53, s_{11}, d_{11}, e_{16}
150. Polygon(D_1, S, G) → poly54, g_9, d_{12}, s_{12}
151. Polygon(D_1, G, K) → poly55, k_7, d_{13}, g_{10}
152. Polygon(D_1, K, I) → poly56, i_9, d_{14}, k_8
153. Polygon(D_1, I, E) → poly57, e_{17}, d_{15}, i_{10}
154. Polygon(G_1, Q, A) → poly58, a_{17}, g_{11}, q_9
155. Polygon(G_1, A, I) → poly59, i_{11}, g_{12}, a_{18}
156. Polygon(G_1, I, K) → poly60, k_9, g_{13}, i_{12}
157. Polygon(G_1, K, C) → poly61, c_7, g_{14}, k_{10}
158. Polygon(G_1, C, Q) → poly62, q_{10}, g_{15}, c_8
159. Polygon(N, F_1, P) → poly63, p_{11}, n_9, f_{13}
160. Polygon(N, C, F_1) → poly64, f_{14}, n_{10}, c_9
161. Polygon(C, K, F_1) → poly65, f_{15}, c_{10}, k_{11}
162. Polygon(F_1, K, G) → poly66, g_{16}, f_{16}, k_{12}
163. Polygon(F_1, G, P) → poly67, p_{12}, f_{17}, g_{17}
164. Polygon(C_1, D, R) → poly68, r_{11}, c_{11}, d_{16}
165. Polygon(C_1, R, Q) → poly69, q_{11}, c_{12}, r_{12}
166. Polygon(C_1, Q, C) → poly70, c_{13}, c_{14}, q_{12}
167. Polygon(C_1, C, N) → poly71, n_{11}, c_{15}, c_{16}
168. Polygon(C_1, N, D) → poly72, d_{17}, c_{17}, n_{12}
169. Intersect(c_4, f_5) → I_1
170. Intersect(t_4, b_5) → J_1
171. Intersect(a_7, b_5) → K_1
172. Intersect(d_4, g_5) → N_1
173. Intersect(k_3, i_6) → P_1
174. Intersect(t_4, s_4) → M_1
175. Intersect(a_7, i_6) → O_1
176. Intersect(l_3, f_5) → Q_1
177. Intersect(d_4, p_6) → R_1
178. Intersect(k_3, l_3) → L_1
179. Intersect(a_4, c_4) → S_1
180. Intersect(h_6, d_4) → T_1
181. Intersect(i_6, m_3) → U_1
182. Intersect(j_4, i_6) → V_1
183. Intersect(i_6, m_3) → W_1
184. Intersect(p_5, i_4) → Z_1
185. Intersect(j_6, e_6) → A_2
186. Intersect(i_3, p_3) → B_2
187. Line(E_1, D_1) → i_{13}
188. Line(V, W) → j_{13}
189. Intersect(i_{13}, j_{13}) → C_2
190. Line(F_1, D_1) → k_{13}
191. Line(H_1, U) → l_{13}
192. Intersect(k_{13}, l_{13}) → D_2
193. Line(D_1, U) → m_{13}
194. Line(B_1, H_1) → n_{13}
195. Intersect(n_{13}, m_{13}) → E_2
196. Line(G_1, W) → p_{13}
197. Line(E_1, U) → q_{13}
198. Intersect(p_{13}, q_{13}) → F_2
199. Polygon(F_1, D_1, W, Z, C_1) → poly73, f_{18}, d_{18}, w_8, z_6, c_{18}
200. Polygon(G_1, D_1, U, V, Z) → poly74, g_{18}, d_{19}, u_8, v_8, z_7
201. Polygon(D_1, F_1, B_1, H_1, U) → poly75, d_{20}, f_{19}, b_{18}, h_{18}, u_9
202. Polygon(G_1, Z, A_1, B_1, F_1) → poly76, g_{19}, z_8, a_{19}, b_{19}, f_{20}
203. Polygon(W, D_1, E_1, H_1, V) → poly77, w_9, d_{21}, e_{18}, h_{19}, v_9
204. Polygon(D_1, G_1, C_1, B_1, E_1) → poly78, d_{22}, g_{20}, c_{19}, b_{20}, e_{19}
205. Polygon(U, E_1, B_1, A_1, V) → poly79, u_{10}, e_{20}, b_{21}, a_{20}, v_{10}
206. Polygon(E_1, F_1, C_1, A_1, H_1) → poly80, e_{21}, f_{21}, c_{20}, a_{21}, h_{20}
207. Polygon(C_1, Z, V, H_1, B_1) → poly81, c_{21}, z_9, v_{11}, h_{21}, b_{22}
208. Polygon(W, U, H_1, A_1, Z) → poly82, w_{10}, u_{11}, h_{22}, a_{22}, z_{10}
209. Polygon(G_1, W, V, A_1, C_1) → poly83, g_{21}, w_{11}, v_{12}, a_{23}, c_{22}
210. Polygon(G_1, F_1, E_1, U, W) → poly84, g_{22}, f_{22}, e_{22}, u_{12}, w_{12}
211. Line(F_1, G_1) → r_{13}
212. Line(A_1, Z) → s_{13}
213. Line(A_1, B_1) → t_{13}
214. Line(B_1, F_1) → i_{14}
215. Line(Z, G_1) → j_{14}
216. Intersect(j_{14}, i_{14}) → G_2
217. Polygon(F_1, G_2, G_1, M_1, Z, N_1, A_1, Z_1, B_1, R_1) → poly85, f_{23}, r_{14}, g_{23}, g_{24}, m_{14}, z_{11}, n_{14}, a_{24}, z_{12}, b_{23}
218. Line(G_1, W) → k_{14}
219. Line(W, V) → l_{14}
220. Line(V, A_1) → p_{14}
221. Line(A_1, C_1) → q_{14}
222. Line(C_1, G_1) → s_{14}
223. Intersect(q_{14}, k_{14}) → H_2
224. Polygon(C_1, H_2, G_1, C_2, W, F_2, V, A_2, A_1, S_1) → poly86, c_{23}, s_{15}, h_{23}, g_{25}, c_{24}, w_{13}, f_{24}, v_{13}, a_{25}, a_{26}
225. Line(Z, W) → t_{14}
226. Line(W, U) → i_{15}
227. Line(U, H_1) → j_{15}
228. Line(H_1, A_1) → k_{15}
229. Polygon(Z, M_1, W, D_2, U, J_1, H_1, Z_1, A_1, K_1) → poly87, z_{13}, k_{16}, m_{15}, w_{14}, d_{23}, u_{13}, j_{16}, h_{24}, z_{14}, a_{27}
230. Line(U, E_1) → l_{15}
231. Line(E_1, B_1) → n_{15}
232. Polygon(V, F_2, U, I_1, E_1, R_1, B_1, S_1, A_1, N_1) → poly88, v_{14}, n_{16}, f_{25}, u_{14}, i_{16}, e_{23}, r_{15}, b_{24}, s_{16}, a_{28}
233. Line(E_1, F_1) → p_{15}
234. Line(F_1, C_1) → q_{15}
235. Line(H_1, E_1) → t_{15}
236. Polygon(E_1, O_1, F_1, H_2, C_1, K_1, A_1, A_2, H_1, J_1) → poly89, e_{24}, j_{17}, o_{13}, f_{26}, h_{25}, c_{25}, k_{17}, a_{29}, a_{30}, h_{26}
237. Line(B_1, H_1) → l_{16}
238. Polygon(H_1, L_1, B_1, B_2, C_1, Q_1, Z, P_1, V, E_2) → poly90, h_{27}, e_{25}, l_{17}, b_{25}, b_{26}, c_{26}, q_{16}, z_{15}, p_{16}, v_{15}
239. Polygon(U, D_2, D_1, G_2, F_1, B_2, B_1, Z_1, H_1, E_2) → poly91, u_{15}, e_{26}, d_{24}, d_{25}, g_{26}, f_{27}, b_{27}, b_{28}, z_{16}, h_{28}
240. Polygon(C_2, D_1, O_1, E_1, L_1, H_1, A_2, V, P_1, W) → poly92, c_{27}, w_{15}, d_{26}, o_{14}, e_{27}, l_{18}, h_{29}, a_{31}, v_{16}, p_{17}
241. Polygon(W, M_1, G_1, H_2, F_1, R_1, E_1, J_1, U, F_2) → poly93, w_{16}, f_{29}, m_{16}, g_{27}, h_{30}, f_{28}, r_{16}, e_{28}, j_{18}, u_{16}
242. Polygon(D_1, C_2, G_1, Q_1, C_1, S_1, B_1, L_1, E_1, I_1) → poly94, d_{27}, i_{17}, c_{28}, g_{28}, q_{17}, c_{29}, s_{17}, b_{29}, l_{19}, e_{29}
243. Polygon(F_1, O_1, D_1, D_2, W, P_1, Z, K_1, C_1, B_2) → poly95, f_{30}, b_{30}, o_{15}, d_{28}, d_{29}, w_{17}, p_{18}, z_{17}, k_{18}, c_{30}
244. Polygon(Z, Q_1, G_1, G_2, D_1, I_1, U, E_2, V, N_1) → poly96, z_{18}, n_{17}, q_{18}, g_{29}, g_{30}, d_{30}, i_{18}, u_{17}, e_{30}, v_{17}
245. Polygon(C_2, G_1, Q_1, C_1, S_1, B_1, L_1, E_1, I_1, D_1) → poly97, c_{31}, d_{31}, g_{31}, q_{19}, c_{32}, s_{18}, b_{31}, l_{20}, e_{31}, i_{19}
246. Polygon(D_1, G_1, C_1, B_1, E_1) → poly98, d_{32}, g_{32}, c_{33}, b_{32}, e_{32}
247. Polygon(G, D_1, K, G_1, C, C_1, N, B_1, P, E_1) → poly99, g_{33}, e_{33}, d_{33}, k_{19}, g_{34}, c_{34}, c_{35}, n_{19}, b_{33}, p_{19}