立方体的投影

GeoGebra 命令及参数

1. Point(Circle[C, Distance[B, C], Segment[B, C]]) → A
2. Cube(B, C, A) → a, D, faceADHG, faceEFGH, edgeBD, edgeBC, edgeAC, edgeAD, edgeBE, edgeDH, edgeEH, edgeEF, E, edgeCF, edgeFG, edgeAG, edgeGH, F, G, H, faceACBD, faceBDHE, faceBCFE, faceACFG
3. Rotate(a, (-α), xAxis) → a'
4. Rotate(H, (-α), xAxis) → H'
5. Rotate(E, (-α), xAxis) → E'
6. Rotate(B, (-α), xAxis) → B'
7. Rotate(D, (-α), xAxis) → D'
8. Rotate(A, (-α), xAxis) → A'
9. Rotate(G, (-α), xAxis) → G'
10. Rotate(F, (-α), xAxis) → F'
11. Rotate(C, (-α), xAxis) → C'
12. Rotate(a', (-β), yAxis) → a''
13. Rotate(E', (-β), yAxis) → E''
14. Rotate(B', (-β), yAxis) → B''
15. Rotate(C', (-β), yAxis) → C''
16. Rotate(F', (-β), yAxis) → F''
17. Rotate(H', (-β), yAxis) → H''
18. Rotate(G', (-β), yAxis) → G''
19. Rotate(D', (-β), yAxis) → D''
20. Rotate(A', (-β), yAxis) → A''
21. Rotate(a'', (-γ), zAxis) → a'''
22. Rotate(G'', (-γ), zAxis) → G'''
23. Rotate(F'', (-γ), zAxis) → F'''
24. Rotate(E'', (-γ), zAxis) → E'''
25. Rotate(H'', (-γ), zAxis) → H'''
26. Rotate(B'', (-γ), zAxis) → B'''
27. Rotate(D'', (-γ), zAxis) → D'''
28. Rotate(A'', (-γ), zAxis) → A'''
29. Rotate(C'', (-γ), zAxis) → C'''
30. Vector(K, L) → u
31. Translate(I, u) → I'
32. Translate(J, u) → J'
33. Vector(K, M) → v
34. Translate(I, v) → I'_{1}
35. Translate(J, v) → J'_{1}
36. Translate(N, u) → N'
37. Translate(N, v) → N'_{1}
38. Polygon(I'_{1}, J'_{1}, N'_{1}, M) → q1, i'_{1}, j'_{1}, n'_{1}, m
39. Polygon(J', I', I'_{1}, J'_{1}) → q2, j', i', f, g
40. Polygon(I', L, M, I'_{1}) → q3, h, l, m_1, i
41. Midpoint(J, J'_{1}) → O
42. Midpoint(I, I'_{1}) → P
43. Midpoint(K, M) → Q
44. Segment(F''', C''') → j
45. Segment(C''', A''') → k
46. Segment(A''', D''') → n
47. Segment(D''', B''') → q
48. Segment(B''', C''') → r
49. Segment(F''', G''') → s
50. Segment(G''', A''') → t
51. Segment(G''', H''') → b
52. Segment(H''', E''') → c
53. Segment(E''', F''') → d
54. Segment(H''', D''') → e
55. Segment(E''', B''') → f_1
56. OrthogonalLine(A''', q1) → p
57. OrthogonalLine(G''', q1) → g_1
58. OrthogonalLine(D''', q1) → h_1
59. OrthogonalLine(H''', q1) → i_1
60. Intersect(h_1, q1) → R
61. Intersect(p, q1) → S
62. Intersect(g_1, q1) → T
63. Intersect(i_1, q1) → U
64. Segment(R, U) → j_1
65. Segment(U, T) → k_1
66. Segment(T, S) → l_1
67. Segment(S, R) → n_1
68. OrthogonalLine(B''', q1) → p_1
69. OrthogonalLine(C''', q1) → q_1
70. Intersect(p_1, q1) → V
71. Intersect(q_1, q1) → W
72. Segment(V, W) → r_1
73. Segment(W, S) → s_1
74. Segment(V, R) → t_1
75. OrthogonalLine(E''', q1) → a_1
76. OrthogonalLine(F''', q1) → b_1
77. Intersect(a_1, q1) → Z
78. Intersect(b_1, q1) → A_1
79. Segment(Z, A_1) → c_1
80. Segment(W, A_1) → d_1
81. Segment(V, Z) → e_1
82. Segment(Z, U) → f_2
83. Segment(T, A_1) → g_2
84. OrthogonalLine(G''', q3) → h_2
85. OrthogonalLine(A''', q3) → i_2
86. OrthogonalLine(H''', q3) → j_2
87. OrthogonalLine(D''', q3) → k_2
88. OrthogonalLine(C''', q3) → l_2
89. OrthogonalLine(B''', q3) → m_2
90. OrthogonalLine(E''', q3) → n_2
91. OrthogonalLine(F''', q3) → p_2
92. Intersect(l_2, q3) → B_1
93. Intersect(i_2, q3) → C_1
94. Segment(B_1, C_1) → q_2
95. Intersect(p_2, q3) → D_1
96. Intersect(h_2, q3) → E_1
97. Segment(D_1, E_1) → r_2
98. Segment(E_1, C_1) → s_2
99. Segment(D_1, B_1) → t_2
100. Intersect(k_2, q3) → F_1
101. Intersect(m_2, q3) → G_1
102. Intersect(n_2, q3) → H_1
103. Intersect(j_2, q3) → I_1
104. Segment(F_1, I_1) → a_2
105. Segment(F_1, G_1) → b_2
106. Segment(I_1, H_1) → c_2
107. Segment(H_1, G_1) → d_2
108. Segment(F_1, C_1) → e_2
109. Segment(I_1, E_1) → f_3
110. Segment(H_1, D_1) → g_3
111. Segment(G_1, B_1) → h_3
112. OrthogonalLine(A''', q2) → i_3
113. OrthogonalLine(G''', q2) → j_3
114. OrthogonalLine(D''', q2) → k_3
115. OrthogonalLine(H''', q2) → l_3
116. Intersect(i_3, q2) → J_1
117. Intersect(k_3, q2) → K_1
118. Intersect(l_3, q2) → L_1
119. Intersect(j_3, q2) → M_1
120. Segment(M_1, L_1) → m_3
121. Segment(K_1, L_1) → n_3
122. Segment(J_1, M_1) → p_3
123. Segment(J_1, K_1) → q_3
124. OrthogonalLine(F''', q2) → r_3
125. OrthogonalLine(E''', q2) → s_3
126. OrthogonalLine(C''', q2) → t_3
127. OrthogonalLine(B''', q2) → a_3
128. Intersect(a_3, q2) → N_1
129. Intersect(t_3, q2) → O_1
130. Intersect(r_3, q2) → P_1
131. Intersect(s_3, q2) → Q_1
132. Segment(Q_1, N_1) → b_3
133. Segment(Q_1, P_1) → e_3
134. Segment(Q_1, L_1) → f_4
135. Segment(P_1, M_1) → g_4
136. Segment(N_1, K_1) → h_4
137. Segment(N_1, O_1) → c_3
138. Segment(O_1, J_1) → d_3
139. Segment(P_1, O_1) → i_4