帕斯卡三角形与梅特罗尼之立方体

GeoGebra 命令及参数

1. Intersect(xAxis, yAxis) → A
2. Point(yAxis) → B
3. Polygon(B, A, 6) → poly1, f, F, g, h, i, j, k, C, D, E
4. Vector(F, A) → u
5. Vector(A, D) → v
6. Sequence(Sequence[nCr[P, Q], Q, 0, P], P, 0, rows) → pasclist
7. Element(Element[pasclist, 3], 2) → a
8. Sequence(Sequence[Polygon[A + (P * u) + (Q * v) + (0, 1), A + (P * u) + (Q * v), 6], Q, 0, P], P, 0, rows) → sierp
9. Sequence(Sequence[Text[Element[Element[pasclist, P + 1], Q + 1], A + (P * u) + (Q * v) + (1; 30°) + (0, adjusty) + ((adjustx * (1, 0)) * ceil(log(10, 0.01 + Element[Element[pasclist, P + 1], Q + 1])))], Q, 0, P], P, 0, rows) → L_1
10. Sequence(Sequence[If[Mod[Element[Element[pasclist, P + 1], Q + 1], n] ≟ 0, Polygon[A + (P * u) + (Q * v) + B, A + (P * u) + (Q * v), 6]], Q, 0, P], P, 0, rows) → sierp2
11. Translate(sierp, (0, -1)) → sierp'
12. Point(u) → G
13. Point(v) → H
14. Point(v) → I
15. Circle(G, H) → p
16. Mirror(G, H) → G'
17. Mirror(G, I) → G'_1
18. Circle(H, G') → q
19. Circle(I, G'_1) → r
20. Circle(G', H) → s
21. Circle(G'_1, I) → t
22. Mirror(H, G') → H'
23. Mirror(I, G'_1) → I'
24. Midpoint(G', G'_1) → J
25. Circle(J, H) → c_1
26. Circle(H', G') → d_1
27. Circle(I', G'_1) → e_1
28. Intersect(s, c_1, 2) → K
29. Intersect(t, c_1, 1) → L
30. Circle(K, J) → f_1
31. Circle(L, J) → g_1
32. Mirror(G', H') → G''
33. Mirror(G'_1, I') → M
34. Mirror(H', G'') → H''
35. Mirror(I', M) → I''
36. Circle(G'', H') → h_1
37. Circle(M, I') → k_1
38. Intersect(d_1, f_1, 2) → N
39. Intersect(e_1, g_1, 1) → O
40. Circle(N, K) → p_1
41. Circle(O, L) → q_1
42. Intersect(f_1, g_1, 2) → P
43. Circle(P, L) → r_1
44. Intersect(h_1, p_1, 2) → Q
45. Intersect(p_1, r_1, 2) → R
46. Intersect(q_1, r_1, 2) → S
47. Intersect(k_1, q_1, 1) → T
48. Circle(H'', Q) → s_1
49. Circle(Q, R) → t_1
50. Circle(R, S) → c_2
51. Circle(S, T) → d_2
52. Circle(T, I'') → e_2
53. Circle(I'', T) → f_2
54. Intersect(s_1, t_1) → U, V, ,
55. Intersect(t_1, c_2, 2) → W
56. Intersect(c_2, d_2, 2) → Z
57. Intersect(d_2, e_2, 2) → A_1
58. Intersect(e_2, f_2, 2) → B_1
59. Circle(V, Q) → g_2
60. Circle(W, R) → h_2
61. Circle(Z, S) → k_2
62. Circle(A_1, T) → p_2
63. Circle(B_1, I'') → q_2
64. Intersect(s_1, g_2, 2) → C_1
65. Intersect(f_2, q_2, 1) → D_1
66. Intersect(p_2, q_2, 2) → E_1
67. Intersect(k_2, p_2, 2) → F_1
68. Intersect(h_2, k_2, 2) → G_1
69. Intersect(g_2, h_2, 2) → H_1
70. Circle(C_1, V) → r_2
71. Circle(D_1, B_1) → s_2
72. Circle(H_1, V) → t_2
73. Circle(G_1, Z) → c_3
74. Circle(F_1, A_1) → d_3
75. Circle(E_1, B_1) → e_3
76. Intersect(g_2, r_2, 1) → I_1
77. Intersect(q_2, s_2, 2) → J_1
78. Circle(I_1, V) → f_3
79. Circle(J_1, B_1) → g_3
80. Intersect(r_2, f_3, 2) → K_1
81. Intersect(s_2, g_3, 2) → M_1
82. Circle(K_1, I_1) → h_3
83. Circle(M_1, J_1) → k_3
84. Intersect(f_3, h_3, 1) → N_1
85. Intersect(t_2, f_3, 2) → O_1
86. Intersect(t_2, c_3, 2) → P_1
87. Intersect(c_3, d_3, 2) → Q_1
88. Intersect(d_3, e_3, 2) → R_1
89. Intersect(e_3, g_3, 2) → S_1
90. Intersect(g_3, k_3, 2) → T_1
91. Circle(N_1, I_1) → p_3
92. Circle(O_1, H_1) → q_3
93. Circle(P_1, G_1) → r_3
94. Circle(Q_1, F_1) → s_3
95. Circle(R_1, E_1) → t_3
96. Circle(S_1, J_1) → c_4
97. Circle(T_1, J_1) → d_4
98. Intersect(h_3, p_3, 2) → U_1
99. Intersect(k_3, d_4, 2) → V_1
100. Circle(U_1, K_1) → e_4
101. Circle(V_1, M_1) → f_4
102. Intersect(p_3, e_4, 1) → W_1
103. Intersect(p_3, q_3, 2) → Z_1
104. Intersect(q_3, r_3, 2) → A_2
105. Intersect(r_3, s_3, 2) → B_2
106. Intersect(s_3, t_3, 2) → C_2
107. Intersect(t_3, c_4, 2) → D_2
108. Intersect(c_4, d_4, 2) → E_2
109. Intersect(d_4, f_4, 2) → F_2
110. Circle(W_1, N_1) → g_4
111. Circle(Z_1, O_1) → h_4
112. Circle(A_2, P_1) → k_4
113. Circle(B_2, Q_1) → p_4
114. Circle(C_2, R_1) → q_4
115. Circle(D_2, S_1) → r_4
116. Circle(E_2, T_1) → s_4
117. Circle(F_2, T_1) → t_4
118. Intersect(e_4, f_4) → G_2, , ,
119. Mirror(Z_1, W_1) → H_2
120. Mirror(E_2, F_2) → I_2
121. Circle(H_2, W_1) → c_5
122. Circle(I_2, F_2) → d_5
123. Mirror(U_1, H_2) → J_2
124. Mirror(N_1, W_1) → L_2
125. Mirror(O_1, Z_1) → M_2
126. Mirror(P_1, A_2) → Q_2
127. Mirror(Q_1, B_2) → S_2
128. Mirror(R_1, C_2) → U_2
129. Mirror(S_1, D_2) → W_2
130. Mirror(R_1, D_2) → A_3
131. Mirror(S_1, E_2) → C_3
132. Mirror(T_1, F_2) → E_3
133. Mirror(V_1, I_2) → G_3
134. Circle(J_2, H_2) → e_5
135. Circle(L_2, W_1) → f_5
136. Circle(M_2, Z_1) → g_5
137. Circle(Q_2, A_2) → h_5
138. Circle(S_2, B_2) → k_5
139. Circle(U_2, C_2) → p_5
140. Circle(W_2, D_2) → q_5
141. Circle(A_3, E_2) → r_5
142. Circle(C_3, F_2) → s_5
143. Circle(E_3, I_2) → t_5
144. Circle(G_3, I_2) → c_6
145. Intersect(e_5, f_5, 2) → K_2
146. Circle(K_2, J_2) → d_6
147. Intersect(e_5, d_6, 2) → N_2
148. Circle(N_2, J_2) → e_6
149. Intersect(f_5, g_5, 2) → O_2
150. Circle(O_2, M_2) → f_6
151. Intersect(g_5, h_5, 2) → P_2
152. Circle(P_2, Q_2) → g_6
153. Intersect(h_5, k_5, 2) → R_2
154. Circle(R_2, S_2) → h_6
155. Intersect(k_5, p_5, 2) → T_2
156. Circle(T_2, U_2) → k_6
157. Intersect(p_5, q_5, 2) → V_2
158. Circle(V_2, W_2) → p_6
159. Intersect(q_5, r_5, 2) → Z_2
160. Circle(Z_2, A_3) → q_6
161. Intersect(r_5, s_5, 2) → B_3
162. Circle(B_3, C_3) → r_6
163. Intersect(s_5, t_5, 2) → D_3
164. Circle(D_3, E_3) → s_6
165. Intersect(t_5, c_6, 2) → F_3
166. Circle(F_3, G_3) → t_6
167. Intersect(c_6, t_6, 1) → H_3
168. Circle(H_3, G_3) → c_7
169. Intersect(d_6, e_6, 2) → I_3
170. Circle(I_3, N_2) → d_7
171. Intersect(e_6, d_7, 2) → J_3
172. Circle(J_3, N_2) → e_7
173. Intersect(d_6, f_6, 2) → K_3
174. Circle(K_3, O_2) → f_7
175. Intersect(f_6, g_6, 2) → L_3
176. Circle(L_3, P_2) → g_7
177. Intersect(g_6, h_6, 2) → M_3
178. Circle(M_3, R_2) → h_7
179. Intersect(h_6, k_6, 2) → N_3
180. Circle(N_3, T_2) → k_7
181. Intersect(k_6, p_6, 2) → O_3
182. Circle(O_3, T_2) → p_7
183. Intersect(p_6, q_6, 2) → P_3
184. Circle(P_3, Z_2) → q_7
185. Intersect(q_6, r_6, 2) → Q_3
186. Circle(Q_3, B_3) → r_7
187. Intersect(r_6, s_6, 2) → R_3
188. Circle(R_3, B_3) → s_7
189. Intersect(s_6, t_6, 2) → S_3
190. Circle(S_3, D_3) → t_7
191. Intersect(t_6, c_7, 2) → T_3
192. Circle(T_3, H_3) → c_8
193. Intersect(c_7, c_8, 1) → U_3
194. Circle(U_3, H_3) → d_8