立方体内八个球体的对称排布

GeoGebra 命令及参数

1. Point(Circle[B, Distance[A, B], Segment[A, B]]) → C
2. 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
3. Midpoint(G, E) → I
4. Midpoint(F, I) → J
5. Midpoint(G, I) → K
6. Midpoint(I, H) → L
7. Midpoint(I, E) → M
8. Midpoint(G, D) → N
9. Midpoint(H, N) → O
10. Midpoint(G, N) → P
11. Midpoint(N, C) → Q
12. Midpoint(N, D) → R
13. OrthogonalLine(J, faceEFGH) → f
14. OrthogonalLine(K, faceEFGH) → g
15. OrthogonalLine(L, faceEFGH) → h
16. OrthogonalLine(M, faceEFGH) → i
17. OrthogonalLine(P, faceCDHG) → j
18. OrthogonalLine(Q, faceCDHG) → k
19. OrthogonalLine(R, faceCDHG) → l
20. OrthogonalLine(O, faceCDHG) → m
21. Intersect(i, m) → S
22. Intersect(h, m) → T
23. Intersect(h, l) → U
24. Intersect(i, l) → V
25. Sphere(S, M) → b
26. Sphere(T, L) → c
27. Intersect(j, f) → W
28. Intersect(g, j) → Z
29. Sphere(W, J) → d
30. Sphere(Z, K) → e
31. Intersect(k, f) → A_1
32. Intersect(k, g) → B_1
33. Sphere(B_1, Q) → n
34. Sphere(U, R) → o
35. Intersect(l, faceABFE) → C_1
36. Intersect(k, faceABFE) → D_1
37. Sphere(V, C_1) → p
38. Sphere(A_1, D_1) → q