多面体变形

GeoGebra 命令及参数

1. Intersect(xAxis, yAxis) → A
2. Point(xAxis) → B
3. Circle(A, B) → c
4. Point(c, Mod[1 - o_2, 0.4]) → C
5. Rotate(C, 72°, A) → C'
6. Angle(C, A, C') → α
7. Point(Circle[((C * (1 - sqrt(5))) + (C' * (3 + sqrt(5)))) / 4, (Distance[C, C'] * sqrt(10 + (2 * sqrt(5))) / 4), Segment[C, C']]) → D
8. Dodecahedron(C, C', D) → a, E, N, O, P, Q, R, S, T, U, faceCC'DEF, faceCFJPK, F, faceCC'GLK, faceC'DHMG, faceDEINH, faceEFJOI, faceJOTUP, faceKLQUP, faceGLQRM, faceHMRSN, faceINSTO, faceQRSTU, G, edgeCF, edgeCC', edgeC'D, edgeDE, edgeEF, edgeCK, edgeFJ, edgeJP, edgeKP, edgeKL, H, edgeGL, edgeC'G, edgeGM, edgeHM, edgeDH, edgeHN, edgeIN, edgeEI, edgeIO, edgeJO, I, edgeOT, edgeTU, edgePU, edgeQU, edgeLQ, edgeQR, edgeMR, edgeRS, edgeNS, edgeST, J, K, L, M
9. Line(Q, R) → f
10. Line(G, M) → g
11. Intersect(g, f) → W
12. Polygon(Z, A_1, B_1, C_1, D_1) → poly1, z_1, a_1, b_1, c_1, d_1
13. Mirror(poly1, V) → poly1'
14. Line(M, R) → d
15. Line(L, Q) → e
16. Intersect(e, d) → E_1
17. Polygon(J_1, F_1, G_1, H_1, I_1) → poly2, j_1, f_1, g_1, i_1, k_1
18. Mirror(poly2, V) → poly2'
19. Line(U, Q) → k
20. Line(S, R) → s
21. Intersect(s, k) → O_1
22. Polygon(R_1, Q_1, P_1, T_1, S_1) → poly3, a_2, b_2, c_2, d_2, e_2
23. Midpoint(E_1, W) → K_1
24. Line(K_1, edgeRS) → r_1
25. Plane(E_1, L_1, W) → v
26. Line(V, R) → f_2
27. Intersect(f_2, v) → M_1
28. Polygon(V_1, I_1, H_1, W_1) → q3, v_1, g_2, m_2, w_1
29. Polygon(W_1, A_1, Z, V_1) → q8, n_2, p_2, z_3, s_2
30. Mirror(q3, V) → q3'
31. Mirror(q8, V) → q8'
32. Mirror(V_1, V) → Z_1
33. Mirror(W_1, V) → A_2
34. Mirror(H_1, V) → B_2
35. Mirror(I_1, V) → C_2
36. Mirror(Z, V) → Z'
37. Mirror(A_1, V) → D_2
38. Polygon(Z_1, Z', D_2, A_2) → q16, b_3, z', c_3, d_3
39. Polygon(Z_1, A_2, B_2, C_2) → q17, e_3, f_4, h_4, i_4
40. Midpoint(E_1, O_1) → E_2
41. Plane(E_1, F_2, O_1) → w
42. Line(V, Q) → j_4
43. Intersect(j_4, w) → G_2
44. Polygon(H_2, J_1, I_1, V_1) → q18, k_4, n_4, p_4, s_4
45. Polygon(H_2, V_1, P_1, Q_1) → q19, t_4, a_4, b_4, c_4
46. Mirror(P_1, V) → U_1
47. Mirror(Q_1, V) → I_2
48. Mirror(H_2, V) → J_2
49. Polygon(Z_1, U_1, I_2, J_2) → q1, h, u_1, i_2, j_2
50. Mirror(J_1, V) → K_2
51. Polygon(Z_1, J_2, K_2, C_2) → q2, i, j, k_2, l
52. Mirror(poly3, V) → poly3'
53. Rotate(V_1, 108°, H_2) → L_2
54. Polygon(L_2, F_1, J_1, H_2) → q4, l_2, m, n, h_2
55. Mirror(L_2, V) → M_2
56. Mirror(F_1, V) → N_2
57. Polygon(K_2, J_2, M_2, N_2) → q5, p, q, r, t
58. Line(T, U) → h_1
59. Line(J, P) → l_1
60. Intersect(l_1, h_1) → P_2
61. Polygon(H_2, Q_2, R_2, L_2) → q6, m_1, q_2, r_2, n_1
62. Mirror(R_2, V) → S_2
63. Mirror(Q_2, V) → T_2
64. Polygon(J_2, T_2, S_2, M_2) → q7, p_1, t_2, q_1, s_1
65. Rotate(H_2, 108°, L_2) → U_2
66. Mirror(U_2, V) → V_2
67. Polygon(U_2, G_1, F_1, L_2) → q9, u_2, t_1, e_1, f_3
68. Polygon(W_1, H_1, G_1, U_2) → q10, g_3, h_3, i_3, j_3
69. Mirror(G_1, V) → W_2
70. Polygon(V_2, W_2, N_2, M_2) → q11, v_2, w_2, k_3, l_3
71. Polygon(A_2, B_2, W_2, V_2) → q12, m_3, n_3, p_3, q_3
72. Line(R, S) → r_3
73. Line(U, T) → s_3
74. Intersect(r_3, s_3) → O_2
75. Mirror(Z_2, V) → B_3
76. Mirror(A_3, V) → C_3
77. Polygon(W_1, U_2, A_3, Z_2) → q13, t_3, a_3, g_4, z_2
78. Polygon(V_2, C_3, B_3, A_2) → q14, l_4, m_4, q_4, r_4
79. Line(S, T) → d_4
80. Line(Q, U) → e_4
81. Intersect(e_4, d_4) → D_3
82. Mirror(E_3, V) → G_3
83. Mirror(F_3, V) → H_3
84. Polygon(U_2, L_2, F_3, E_3) → q15, f_5, g_5, h_5, i_5
85. Polygon(M_2, H_3, G_3, V_2) → q20, j_5, k_5, l_5, m_5
86. Mirror(S_1, V) → I_3
87. Mirror(R_1, V) → J_3
88. Mirror(T_1, V) → K_3
89. Mirror(C_1, V) → L_3
90. Mirror(D_1, V) → M_3
91. Mirror(B_1, V) → N_3
92. Midpoint(Q_2, Q_1) → P_3
93. Mirror(H_2, P_3) → Q_3
94. Rotate(V_1, (-(108°)), H_2, faceGLQRM) → R_3
95. Polygon(H_2, R_3, R_1, Q_1) → q21, n_5, p_5, q_5, r_5
96. Mirror(R_3, V) → S_3
97. Rotate(H_2, (-(108°)), R_3, faceGLQRM) → T_3
98. Polygon(R_3, R_1, S_1, T_3) → q22, s_5, t_5, a_5, b_5
99. Mirror(T_3, V) → U_3
100. Polygon(S_3, U_3, I_3, J_3) → q23, c_5, u_3, d_5, e_5
101. Polygon(J_3, I_3, K_3, U_1, I_2) → poly4, f_6, g_6, h_6, i_6, j_6
102. Polygon(J_2, S_3, J_3, I_2) → q24, k_6, l_6, m_6, n_6
103. Rotate(R_3, (-(108°)), T_3, faceGLQRM) → V_3
104. Mirror(V_3, V) → W_3
105. Polygon(S_1, T_1, V_3, T_3) → q25, p_6, q_6, v_3, r_6
106. Polygon(V_1, V_3, T_1, P_1) → q26, s_6, t_6, a_6, b_6
107. Polygon(U_3, W_3, K_3, I_3) → q27, c_6, w_3, d_6, e_6
108. Polygon(W_3, Z_1, U_1, K_3) → q28, f_7, g_7, h_7, i_7
109. Mirror(Z_3, V) → C_4
110. Mirror(A_4, V) → D_4
111. Mirror(B_4, V) → E_4
112. Polygon(R_2, Q_2, A_4, B_4, Z_3) → poly5, j_7, k_7, l_7, m_7, n_7
113. Polygon(R_3, A_4, Q_2, H_2) → q29, p_7, q_7, r_7, s_7
114. Polygon(S_2, C_4, E_4, D_4, T_2) → poly6, t_7, a_7, b_7, c_7, d_7
115. Polygon(T_2, D_4, S_3, J_2) → q30, e_7, f_8, g_8, h_8
116. Polygon(V_3, V_1, Z, D_1) → q31, i_8, j_8, z_4, k_8
117. Polygon(Z_1, W_3, M_3, Z') → q32, l_8, m_8, n_8, p_8
118. Rotate(E_3, 108°, F_3, faceJOTUP) → F_4
119. Rotate(F_3, 108°, F_4, faceJOTUP) → G_4
120. Rotate(F_4, 108°, G_4, faceJOTUP) → H_4
121. Mirror(H_4, V) → I_4
122. Mirror(G_4, V) → J_4
123. Mirror(F_4, V) → K_4
124. Polygon(F_3, F_4, G_4, H_4, E_3) → poly7, q_8, r_8, s_8, t_8, a_8
125. Polygon(H_3, K_4, J_4, I_4, G_3) → poly8, b_8, c_8, d_8, e_8, f_9
126. Rotate(V_3, 108°, R_3) → L_4
127. Polygon(L_4, L_2, R_2, Z_3) → q33, g_9, h_9, i_9, j_9
128. Mirror(L_4, V) → M_4
129. Polygon(M_2, M_4, K_4, H_3) → q34, k_9, l_9, m_9, n_9
130. Rotate(H_2, 108°, R_3, faceKLQUP) → N_4
131. Mirror(N_4, V) → O_4
132. Polygon(L_4, Z_3, B_4, N_4) → q35, p_9, q_9, r_9, s_9
133. Polygon(N_4, B_4, A_4, R_3) → q36, t_9, a_9, b_9, c_9
134. Polygon(L_4, F_4, F_3, L_2) → q37, d_9, e_9, f_{10}, g_{10}
135. Polygon(M_3, L_3, N_3, D_2, Z') → poly9, h_{10}, i_{10}, j_{10}, k_{10}, l_{10}
136. Polygon(L_4, N_4, N_3, L_3) → q38, m_{10}, n_{10}, p_{10}, q_{10}
137. Polygon(T_3, V_3, J_4, I_4) → q39, r_{10}, s_{10}, t_{10}, a_{10}
138. Polygon(V_3, M_4, K_4, J_4) → q40, b_{10}, c_{10}, d_{10}, e_{10}
139. Polygon(V_3, D_1, C_1, M_4) → q41, f_{11}, g_{11}, h_{11}, i_{11}
140. Polygon(M_4, C_1, B_1, O_4) → q42, j_{11}, k_{11}, l_{11}, o_4
141. Polygon(O_4, B_1, A_1, W_1) → q43, m_{11}, n_{11}, p_{11}, q_{11}
142. Polygon(M_2, M_4, C_4, S_2) → q44, r_{11}, s_{11}, t_{11}, a_{11}
143. Polygon(M_4, O_4, E_4, C_4) → q45, b_{11}, c_{11}, d_{11}, e_{11}
144. Polygon(O_4, S_3, D_4, E_4) → q46, f_{12}, g_{12}, h_{12}, i_{12}
145. Polygon(W_3, L_4, L_3, M_3) → q47, j_{12}, k_{12}, l_{12}, m_{12}
146. Polygon(W_3, G_4, F_4, L_4) → q48, n_{12}, p_{12}, q_{12}, r_{12}
147. Polygon(U_3, H_4, G_4, W_3) → q49, s_{12}, t_{12}, a_{12}, b_{12}
148. Polygon(U_2, E_3, H_4, U_3) → q50, c_{12}, d_{12}, e_{12}, f_{13}
149. Polygon(D_2, N_3, N_4, A_2) → q51, g_{13}, h_{13}, i_{13}, j_{13}
150. Polygon(V_2, T_3, I_4, G_3) → q52, k_{13}, l_{13}, m_{13}, n_{13}
151. Rotate(Z_2, 108°, A_3, faceINSTO) → P_4
152. Mirror(P_4, V) → Q_4
153. Polygon(A_3, U_2, U_3, P_4) → q53, p_{13}, q_{13}, r_{13}, s_{13}
154. Polygon(C_3, Q_4, T_3, V_2) → q54, t_{13}, a_{13}, b_{13}, c_{13}
155. Rotate(A_3, 108°, P_4, faceINSTO) → R_4
156. Mirror(R_4, V) → S_4
157. Polygon(S_3, R_4, P_4, U_3) → q55, d_{13}, e_{13}, f_{14}, g_{14}
158. Polygon(R_3, T_3, Q_4, S_4) → q56, h_{14}, i_{14}, j_{14}, k_{14}
159. Rotate(P_4, 108°, R_4, faceINSTO) → T_4
160. Mirror(T_4, V) → U_4
161. Polygon(O_4, T_4, R_4, S_3) → q57, l_{14}, m_{14}, n_{14}, p_{14}
162. Polygon(W_1, Z_2, T_4, O_4) → q58, q_{14}, r_{14}, s_{14}, t_{14}
163. Polygon(Z_2, A_3, P_4, R_4, T_4) → poly10, a_{14}, b_{14}, c_{14}, d_{14}, e_{14}
164. Polygon(N_4, R_3, S_4, U_4) → q59, f_{15}, g_{15}, h_{15}, u_4
165. Polygon(N_4, U_4, B_3, A_2) → q60, i_{15}, j_{15}, k_{15}, l_{15}
166. Polygon(S_4, Q_4, C_3, B_3, U_4) → poly11, m_{15}, n_{15}, p_{15}, q_{15}, r_{15}