Ultimate Symmetry in Cuboids

GeoGebra Commands & Parameters

1. Intersect(xAxis, yAxis) → STAR
2. Sphere(STAR, c) → a
3. Circle(STAR, c) → d
4. Point(d) → planet
5. Intersect(d, xAxis, 1) → B
6. Intersect(d, xAxis, 2) → C
7. Intersect(d, yAxis, 1) → D
8. Intersect(d, yAxis, 2) → E
9. Line(B, zAxis) → f
10. Line(C, zAxis) → g
11. Line(E, zAxis) → h
12. Line(D, zAxis) → i
13. Point(g) → H
14. Segment(C, H) → j
15. Point(h) → F
16. Segment(E, F) → k
17. Point(f) → I
18. Segment(B, I) → l
19. Point(i) → J
20. Segment(D, J) → m
21. Point(g) → K
22. Segment(C, K) → n
23. Point(i) → L
24. Segment(D, L) → p
25. Point(f) → M
26. Segment(B, M) → q
27. Point(h) → N
28. Segment(E, N) → r
29. Segment(K, L) → s
30. Segment(L, M) → t
31. Segment(M, N) → b
32. Segment(K, N) → e
33. Segment(H, J) → f_1
34. Segment(F, I) → g_1
35. Segment(J, I) → h_1
36. Segment(H, F) → i_1
37. Segment(K, planet) → j_1
38. Segment(H, planet) → k_1
39. Segment(F, planet) → l_1
40. Segment(N, planet) → m_1
41. Segment(L, planet) → n_1
42. Segment(M, planet) → p_1
43. Segment(J, planet) → q_1
44. Segment(I, planet) → r_1