Dynamic & Modifiable Open-Top Rectangular Prism Packing

GeoGebra Commands & Parameters

1. Intersect(l, xAxis) → E
2. Intersect(j, l) → F
3. Segment(A, F) → m
4. Point(m) → G
5. Mirror(G, j) → G'
6. Mirror(G, k) → G'_1
7. Mirror(G', k) → G''
8. Segment(A, G) → n
9. Circle(A, G) → c
10. Intersect(c, r, 1) → H
11. Intersect(p, s) → I
12. Mirror(H, k) → H'
13. Mirror(I, k) → I'
14. Mirror(I, j) → I'_1
15. Mirror(H, j) → H'_1
16. Mirror(I'_1, k) → J
17. Mirror(H'_1, k) → K
18. Segment(I', J) → t
19. Segment(J, I'_1) → a
20. Segment(I'_1, I) → b
21. Segment(I, I') → d
22. Segment(A, B) → e
23. Segment(A, H) → n_1
24. Polygon(G, G', I'_1, I) → poly2, g_1, g', i'_1, i_1
25. Polygon(I, H, H', I') → poly3, i_2, h_1, h', i'
26. Polygon(I', G'_1, G'', J) → poly4, i'_2, g'_1, g'', j_1
27. Polygon(J, K, H'_1, I'_1) → poly5, j_2, k_1, h'_1, i'_3
28. Polygon(I, I'_1, J, I') → poly6, i_3, i'_4, j_3, i'_5
29. Segment(I, I'_1) → p_1
30. Segment(I'_1, J) → q_1
31. Segment(J, I') → r_1
32. Segment(I', I) → s_1
33. Rotate(G, α, b) → G'_2
34. Rotate(G', α, b) → G''_1
35. Rotate(I'_1, α, b) → L
36. Rotate(I, α, b) → I'_2
37. Polygon(G'_2, G''_1, L, I'_2) → poly2', g'_2, g''_1, l_2, i'_6
38. Rotate(J, α, x = x(J)) → J'
39. Rotate(K, α, x = x(J)) → K'
40. Rotate(I'_1, α, x = x(J)) → N
41. Rotate(J, (-α), x = x(J)) → J'_1
42. Rotate(K, (-α), x = x(J)) → K'_1
43. Rotate(H'_1, (-α), x = x(J)) → O
44. Rotate(I'_1, (-α), x = x(J)) → P
45. Polygon(J'_1, K'_1, O, P) → poly5'_1, j'_1, k'_1, o, p_2
46. Rotate(I', (-α), y = y(H')) → I''_1
47. Rotate(G'_1, (-α), y = y(H')) → Q
48. Rotate(G'', (-α), y = y(H')) → G'''_1
49. Rotate(J, (-α), y = y(H')) → J'_3
50. Polygon(I''_1, Q, G'''_1, J'_3) → poly4'_1, i''_1, q_2, g'''_1, j'_3
51. Rotate(I, α, x = x(G)) → I'_3
52. Rotate(H, α, x = x(G)) → H'_2
53. Rotate(H', α, x = x(G)) → H''
54. Rotate(I', α, x = x(G)) → I''
55. Polygon(I'_3, H'_2, H'', I'') → poly3', i'_7, h'_2, h'', i''
56. Rotate(A, ((-π)) / 2, B) → A'
57. Rotate(B, ((-π)) / 2, B) → B'
58. Segment(A', B') → e'
59. Rotate(A', ((-π)) / 2, A') → A''
60. Rotate(B', ((-π)) / 2, A') → B''
61. Segment(A'', B'') → e''
62. Rotate(A'', ((-π)) / 2, B'') → A'''
63. Rotate(B'', ((-π)) / 2, B'') → B'''
64. Segment(A''', B''') → e'''