立方体中的蛇形路径

GeoGebra 命令及参数

1. Polygon(C, D, B, A) → q1, c, d, b, a
2. Intersect(b, yAxis) → E
3. Intersect(c, yAxis) → F
4. Intersect(xAxis, d) → G
5. Intersect(a, xAxis) → H
6. OrthogonalLine(E, xOyPlane) → f
7. OrthogonalLine(G, xOyPlane) → g
8. OrthogonalLine(F, xOyPlane) → h
9. OrthogonalLine(H, xOyPlane) → i
10. Point(f) → I
11. Point(yAxis) → J
12. Plane(E, J, I) → e
13. CircleArc(E, I, J) → k_2
14. Point(k_2) → P_2
15. Plane(A, B, P_2) → j
16. Circle(A, 4, j) → p
17. Circle(B, 4, j) → q
18. Line(P_2, b) → l
19. Intersect(l, p) → L, M
20. Intersect(l, q) → N, O
21. Polygon(A, B, N, P_2, L) → poly1, a_1, b_1, n, k_5, l_1
22. Point(i) → P
23. Point(xAxis) → Q
24. CircleArc(H, Q, P) → k_3
25. Point(k_3) → P_3
26. Plane(C, A, P_3) → m
27. Line(P_3, a) → s
28. Circle(C, 4, m) → t
29. Circle(A, 4, m) → c_1
30. Intersect(s, t) → S, T
31. Intersect(s, c_1) → U, V
32. Polygon(C, A, U, P_3, S) → poly2, c_2, a_2, u, r_1, s_1
33. Point(g) → W
34. Point(xAxis) → Z
35. CircleArc(G, W, Z) → k_1
36. Point(k_1) → P_1
37. Plane(B, D, P_1) → o
38. Line(P_1, d) → f_1
39. Circle(B, 4, o) → e_1
40. Circle(D, 4, o) → g_1
41. Intersect(f_1, e_1) → B_1, C_1
42. Intersect(f_1, g_1) → D_1, E_1
43. Polygon(B, D, D_1, P_1, B_1) → poly3, b_2, d_2, h_1, i_1, j_1
44. Point(h) → F_1
45. Point(yAxis) → G_1
46. CircleArc(F, F_1, G_1) → k_4
47. Point(k_4) → P_4
48. Plane(D, C, P_4) → k
49. Line(P_4, c) → r
50. Circle(D, 4, k) → d_1
51. Circle(C, 4, k) → p_1
52. Intersect(r, d_1) → K, R
53. Intersect(r, p_1) → A_1, H_1
54. Point(r) → I_1
55. Polygon(D, C, A_1, I_1, K) → poly4, d_3, c_3, m_1, n_1, k_6
56. Point(zAxis) → J_1
57. Point(zAxis) → K_1
58. Segment(J_1, K_1) → q_1
59. PointIn(poly2) → A_2
60. PointIn(poly2) → B_2
61. PointIn(poly2) → C_2
62. PointIn(poly2) → D_2
63. PointIn(poly1) → E_2
64. PointIn(poly1) → F_2
65. PointIn(poly1) → G_2
66. PointIn(poly1) → H_2
67. PointIn(poly3) → I_2
68. PointIn(poly3) → J_2
69. PointIn(poly3) → K_2
70. PointIn(poly3) → L_2
71. Polygon(I_2, J_2, K_2, L_2) → q4, r_2, s_2, t_2, e_2
72. PointIn(poly4) → M_2
73. PointIn(poly4) → N_2
74. PointIn(poly4) → O_2
75. Point(zAxis) → R_2
76. PointIn(poly4) → S_2
77. Polygon(N_2, O_2, S_2, M_2) → q5, f_3, o_2, g_3, h_3
78. Polygon(F_2, G_2, H_2, E_2) → q6, i_3, j_3, l_3, m_3
79. Polygon(B_2, C_2, D_2, A_2) → q7, n_3, p_3, q_3, r_3
80. Point(zAxis) → L_1
81. Plane(L_1, xOyPlane) → w
82. PointIn(w) → R_1
83. PointIn(w) → S_1
84. Point(Circle[S_1, Distance[R_1, S_1], Segment[R_1, S_1]]) → T_1
85. Cube(R_1, S_1, T_1) → u_1, U_1, face5, face6, edge2, edge1, edge4, edge6, edge3, edge8, edge10, edge9, V_1, edge5, edge11, edge7, edge12, W_1, Z_1, T_2, face1, face3, face2, face4
86. PointIn(q1) → U_2
87. PointIn(q1) → V_2
88. PointIn(q1) → W_2
89. PointIn(q1) → Z_2
90. Point(zAxis) → B_3
91. Segment(A_3, B_3) → s_3
92. Point(c_2) → C_3
93. Line(C_3, s_3) → t_3
94. Segment(A_3, C_3) → a_3
95. Point(t_3) → D_3
96. Line(D_3, a_3) → b_3
97. Line(B_3, b_3) → e_3
98. Intersect(t_3, e_3) → E_3
99. Point(t_3) → F_3
100. Line(F_3, b_3) → t_1
101. Point(b_3) → M_1
102. Intersect(t_1, zAxis) → N_1
103. Intersect(b_1, j_1) → O_1
104. Point(b_2) → Q_1
105. Point(d_3) → Q_2
106. OrthogonalLine(O_1, q1) → f_2
107. OrthogonalLine(Q_2, q1) → g_2
108. OrthogonalLine(Q_1, q1) → h_2
109. Intersect(e_3, h_2) → G_3
110. Intersect(t_1, h_2) → H_3
111. Segment(O_1, A_3) → i_2
112. Line(N_1, i_2) → j_2
113. Line(B_3, i_2) → l_2
114. Intersect(f_2, j_2) → I_3
115. Intersect(g_2, j_2) → J_3
116. Intersect(l_2, g_2) → L_3
117. Segment(D_3, F_3) → m_2
118. Segment(C_3, E_3) → n_2
119. Point(m_2) → P_5
120. Point(n_2) → P_6
121. Plane(P_5, xOyPlane) → v
122. PointIn(v) → O_3
123. Polygon(O_3, P_5, 4, xOyPlane) → poly5, p_2, q_2, f_4, g_4, Q_3, R_3
124. Plane(P_6, xOyPlane) → o_1
125. PointIn(o_1) → K_3
126. Polygon(K_3, P_6, 4, xOyPlane) → poly6, h_4, i_4, j_4, l_4, T_3, U_3
127. PointIn(poly5) → N_3
128. PointIn(poly5) → M_3
129. PointIn(poly5) → V_3
130. PointIn(poly5) → W_3
131. Polygon(M_3, N_3, W_3, V_3) → q2, m_4, n_4, w_3, v_3
132. OrthogonalLine(M_3, poly6) → p_4
133. OrthogonalLine(V_3, poly6) → q_4
134. OrthogonalLine(W_3, poly6) → r_4
135. OrthogonalLine(N_3, poly6) → s_4
136. Intersect(q_4, poly6) → Z_3
137. Intersect(p_4, poly6) → A_4
138. Intersect(r_4, poly6) → B_4
139. Intersect(s_4, poly6) → C_4
140. Polygon(A_4, C_4, B_4, Z_3) → q3, a_4, c_4, b_4, z_3
141. Intersect(edge3, edge2) → D_4
142. Intersect(edge10, edge12) → E_4
143. Intersect(edge4, edge6) → F_4
144. Point(edge9) → G_4
145. Point(j_3) → H_4
146. Point(l_3) → I_4
147. Intersect(i_3, j_3) → J_4
148. Intersect(m_3, i_3) → K_4
149. Intersect(r_3, q_3) → L_4
150. Point(p_3) → M_4
151. Point(p_3) → N_4
152. Intersect(r_3, n_3) → O_4
153. Intersect(r_2, s_2) → Q_4
154. PointIn(poly3) → R_4
155. Intersect(s_2, t_2) → S_4
156. Point(r_2) → T_4
157. Point(v_3) → U_4
158. Point(v_3) → V_4
159. Intersect(n_4, w_3) → W_4
160. Intersect(m_4, n_4) → Z_4
161. Intersect(a_4, z_3) → A_5
162. Point(z_3) → B_5
163. Intersect(c_4, b_4) → C_5
164. Intersect(a_4, c_4) → D_5
165. Intersect(h_3, g_3) → E_5
166. Point(g_3) → F_5
167. Intersect(f_3, h_3) → G_5
168. Intersect(f_3, o_2) → H_5
169. Point(z_3) → I_5
170. Point(z_3) → J_5
171. Point(b_4) → K_5
172. Point(c_4) → L_5
173. Intersect(edge9, edge3) → M_5
174. Intersect(edge6, edge2) → N_5
175. Intersect(edge11, edge7) → O_5
176. Point(edge4) → Q_5
177. Intersect(edge5, edge1) → R_5
178. Intersect(edge5, edge11) → V_5
179. Intersect(edge6, edge8) → S_5
180. Intersect(edge5, edge1) → T_5
181. Intersect(edge1, edge3) → A_6
182. Intersect(edge4, edge7) → B_6
183. Midpoint(S_5, B_6) → U_5
184. Midpoint(B_6, T_5) → C_6
185. Midpoint(T_5, A_6) → D_6
186. Circle(D_6, C_6, U_5) → d_4
187. Intersect(edge9, edge11) → E_6
188. Intersect(edge11, edge7) → F_6
189. Intersect(edge9, edge10) → G_6
190. Intersect(edge10, edge8) → H_6
191. Midpoint(E_6, F_6) → I_6
192. Midpoint(F_6, H_6) → J_6
193. Segment(C_6, I_6) → t_4
194. Segment(I_6, F_6) → e_4
195. Segment(F_6, J_6) → f_5
196. Segment(J_6, U_5) → g_5
197. Segment(U_5, S_5) → h_5
198. Segment(S_5, A_6) → i_5
199. Intersect(m_4, v_3) → K_6
200. PointIn(poly5) → L_6
201. Segment(K_6, L_6) → j_5
202. Intersect(n_4, w_3) → M_6
203. Segment(L_6, M_6) → l_5
204. Intersect(m_4, n_4) → N_6
205. Midpoint(L_6, K_6) → O_6
206. Midpoint(N_6, M_6) → Q_6
207. Midpoint(M_6, L_6) → R_6
208. Circle(O_6, R_6, Q_6) → c_5
209. Segment(Q_6, M_6) → m_5
210. Intersect(r_3, q_3) → S_6
211. Point(p_3) → T_6
212. Segment(S_6, T_6) → n_5
213. Intersect(n_3, p_3) → U_6
214. Segment(T_6, U_6) → p_5
215. PointIn(poly2) → V_6
216. Midpoint(V_6, U_6) → W_6
217. Segment(W_6, U_6) → q_5
218. Point(o_2) → Z_6
219. Point(o_2) → A_7
220. Intersect(h_3, g_3) → B_7
221. Point(f_3) → C_7
222. Midpoint(Z_6, A_7) → D_7
223. Midpoint(B_7, C_7) → E_7
224. Segment(B_7, C_7) → r_5
225. Segment(E_7, D_7) → s_5
226. Segment(D_7, A_7) → t_5
227. Segment(A_7, C_7) → a_5
228. Midpoint(S_6, T_6) → F_7
229. Segment(F_7, W_6) → b_5
230. Intersect(r_2, s_2) → G_7
231. Intersect(s_2, t_2) → H_7
232. Intersect(e_2, t_2) → I_7
233. Point(r_2) → J_7
234. Midpoint(I_7, J_7) → K_7
235. Midpoint(H_7, G_7) → L_7
236. Segment(G_7, H_7) → d_5
237. Segment(H_7, I_7) → e_5
238. Segment(I_7, K_7) → f_6
239. Segment(K_7, L_7) → g_6
240. Point(j_3) → M_7
241. Intersect(i_3, j_3) → N_7
242. Intersect(m_3, i_3) → O_7
243. Point(l_3) → P_7
244. Midpoint(M_7, N_7) → Q_7
245. Midpoint(O_7, P_7) → R_7
246. Segment(M_7, N_7) → h_6
247. Segment(N_7, O_7) → i_6
248. Segment(O_7, R_7) → j_6
249. Segment(R_7, Q_7) → l_6
250. Point(c_4) → S_7
251. Point(b_4) → T_7
252. Point(b_4) → U_7
253. Point(a_4) → V_7
254. Midpoint(T_7, U_7) → W_7
255. Midpoint(U_7, V_7) → Z_7
256. Midpoint(S_7, T_7) → A_8
257. Circle(A_8, W_7, Z_7) → c_6
258. Segment(A_8, T_7) → m_6
259. Segment(T_7, U_7) → n_6
260. Segment(U_7, V_7) → p_6
261. Intersect(edge3, i_5) → D_8
262. Intersect(h_5, edge8) → E_8
263. Segment(D_8, E_8) → q_6
264. Intersect(edge4, edge6) → F_8
265. Intersect(edge5, edge1) → G_8
266. Segment(F_8, G_8) → r_6
267. Segment(D_8, G_8) → s_6
268. Segment(F_8, E_8) → t_6
269. Intersect(edge10, edge12) → H_8
270. Segment(E_8, H_8) → a_6
271. Point(e_4) → I_8
272. Segment(I_8, H_8) → b_6
273. Intersect(t_4, edge11) → J_8
274. Segment(I_8, J_8) → d_6
275. Intersect(r_6, d_4, 1) → K_8
276. Segment(J_8, K_8) → e_6
277. Point(b_6) → L_8
278. Intersect(g_5, t_6) → M_8
279. Segment(L_8, M_8) → f_7
280. Point(q_6) → N_8
281. Circle(K_8, M_8, N_8) → c_7
282. Intersect(edge9, edge10) → O_8
283. Intersect(edge10, edge8) → P_8
284. Segment(O_8, P_8) → g_7
285. Intersect(e_4, f_5) → Q_8
286. Segment(P_8, Q_8) → h_7
287. Point(edge11) → R_8
288. Segment(Q_8, R_8) → i_7
289. Intersect(i_7, t_4) → S_8
290. Intersect(t_4, d_4, 1) → T_8
291. Segment(S_8, T_8) → j_7
292. Intersect(g_5, d_4, 1) → U_8
293. Intersect(i_5, d_4, 1) → V_8
294. Circle(U_8, T_8, V_8) → d_7
295. Polygon(B_9, C_9, 4) → poly7, k_7, l_7, m_7, n_7, D_9, E_9
296. Midpoint(E_9, C_9) → A_9