3x3x3涂色立方体：表面涂色小方块计数与空间可视化

GeoGebra 命令及参数

1. Intersect(yAxis, xAxis) → A
2. Point(xAxis) → B
3. Point(Circle[B, Distance[A, B], Segment[A, B]]) → C
4. Cube(A, B, C) → a, D, faceCDHG, faceEFGH, edgeAD, edgeAB, edgeBC, edgeCD, edgeAE, edgeDH, edgeEH, edgeEF, E, edgeBF, edgeFG, edgeCG, edgeGH, F, G, H, faceABCD, faceADHE, faceABFE, faceBCGF
5. Point(edgeCD) → I
6. Point(edgeGH) → J
7. Segment(I, J) → b
8. Point(edgeCD) → K
9. Point(edgeGH) → L
10. Segment(K, L) → c
11. Point(edgeBC) → M
12. Point(edgeFG) → N
13. Segment(M, N) → d
14. Point(edgeBC) → O
15. Point(edgeFG) → P
16. Segment(O, P) → e
17. PointIn(faceEFGH) → Q
18. Segment(N, Q) → f
19. Point(edgeEH) → R
20. Segment(P, R) → g
21. PointIn(faceEFGH) → S
22. Segment(J, S) → h
23. Point(edgeEF) → T
24. Segment(L, T) → i
25. Point(edgeCG) → U
26. PointIn(faceCDHG) → V
27. Segment(U, V) → j
28. Point(edgeCG) → W
29. PointIn(faceCDHG) → Z
30. Segment(W, Z) → k
31. Point(edgeBF) → A_1
32. Segment(W, A_1) → l
33. PointIn(faceBCGF) → B_1
34. Segment(U, B_1) → m
35. Point(zAxis) → C_1
36. Segment(C_1, A_1) → n
37. Point(zAxis) → D_1
38. Segment(D_1, B_1) → p
39. PointIn(faceABFE) → E_1
40. Segment(T, E_1) → q
41. PointIn(faceABFE) → F_1
42. Segment(S, F_1) → r
43. Segment(D_1, V) → s
44. Segment(Z, C_1) → t
45. Point(yAxis) → G_1
46. Segment(R, G_1) → a_1
47. Point(yAxis) → H_1
48. Segment(H_1, Q) → b_1
49. Segment(M, H_1) → c_1
50. Segment(G_1, O) → d_1
51. Segment(I, F_1) → e_1
52. Segment(K, E_1) → f_1