Folding Paper to Make a Box

GeoGebra Commands & Parameters

1. Point(xAxis) → F
2. Intersect(xAxis, yAxis) → B
3. Midpoint(B, F) → I
4. Point(yAxis) → E
5. Segment(B, E) → c
6. Midpoint(B, E) → H
7. Min(Distance[B, I], Distance[B, H]) → mRad
8. Circle(B, mRad) → h
9. Intersect(h, c) → J,
10. Segment(B, J) → g
11. Point(g) → K
12. Distance(B, K) → Height
13. Intersect(yAxis, zAxis) → O
14. Line(A, yAxis) → a
15. Line(C, xAxis) → b
16. Intersect(a, b) → D
17. Segment(B, F) → d
18. OrthogonalLine(F, xAxis) → e
19. OrthogonalLine(E, yAxis) → f
20. Intersect(e, f) → G
21. Mirror(K, H) → K'
22. Mirror(K, i) → BR
23. Mirror(BR, I) → L
24. OrthogonalLine(I, xAxis) → j
25. Mirror(K, j) → K'_2
26. Mirror(K', j) → K''
27. OrthogonalLine(H, c) → k
28. Mirror(BR, k) → M
29. Mirror(L, k) → L'
30. Segment(E, G) → l
31. Segment(G, F) → m
32. Line(L, L') → n
33. Line(M, BR) → p
34. Line(K, K'_2) → q
35. Line(K', K'') → r
36. Intersect(p, r) → N
37. Intersect(r, n) → P
38. Intersect(n, q) → Q
39. Intersect(q, p) → R
40. Polygon(B, BR, R, K) → poly1, b_1, k'_1, r_1, k_1
41. Polygon(L, F, K'_2, Q) → poly2, l_1, f_1, k'_2, q_1
42. Polygon(P, K'', G, L') → poly3, p_1, k'', g_1, l'
43. Polygon(K', N, M, E) → poly4, k', n_1, m_1, e_1
44. Prism(O, A, D, C, V) → Volume, S, edgeAO, edgeAD, edgeCD, edgeCO, edgeOV, edgeAS, edgeDT, edgeCU, edgeSV, edgeST, T, edgeTU, edgeUV, U, faceADCO, faceAOVS, faceADTS, faceCDTU, faceCOVU, faceSTUV
45. Distance(B, E) → w_O
46. Distance(B, F) → l_O
47. Intersect(s, xAxis) → Z, root2, B_1
48. Polygon(K', K, M, N, R, BR, L, Q, K'_2, K'', P, L') → poly5, k'_3, l'_1, m_2, n_2, k_2, r_2, k'_4, l_2, q_2, k'_5, k''_1, p_2
49. Midpoint(BL, BRL) → A_1
50. Vector(BL, BRL) → u
51. Vector(BRL, BL) → v
52. Segment(W, (0, y(W))) → a_1
53. Segment(W, (x(W), 0)) → c_1