立方体最短路径：展开图与三维视图的对照

GeoGebra 命令及参数

1. Intersect(yAxis, zAxis) → 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. PointIn(faceEFGH) → I
6. PointIn(faceABFE) → J
7. OrthogonalPlane(J, edgeEF) → b
8. OrthogonalPlane(I, edgeEF) → c
9. Intersect(edgeEF, b) → K
10. Intersect(edgeEF, c) → L
11. OrthogonalPlane(J, edgeBF) → d
12. IntersectPath(c, d) → e
13. OrthogonalPlane(I, edgeFG) → f_1
14. IntersectPath(f_1, d) → g
15. Intersect(e, faceABFE) → M
16. Segment(J, M) → h
17. Segment(M, L) → i
18. Segment(L, I) → j
19. Vector(L, K) → u
20. Segment(J, N) → k
21. Segment(N, I) → l
22. Polygon(B, A, 4, xOyPlane) → poly1, m, n, p, q, f, P
23. Polygon(P, f, 4, xOyPlane) → poly2, r, s, t, a_1, O, Q
24. Polygon(A, D, 4, xOyPlane) → poly3, b_1, c_1, d_1, e_1, R, S
25. Polygon(C, B, 4, xOyPlane) → poly4, g_1, h_1, i_1, j_1, T, U
26. Polygon(D, C, 4, xOyPlane) → poly5, k_1, l_1, m_1, n_1, V, W
27. Circle(edgeAB, J) → q_1
28. Intersect
29. Intersect(xOyPlane, q_1) → C_1, D_1
30. Circle(edgeEF, I) → p_1
31. Plane(A, E, F) → o
32. Intersect(o, p_1) → Z, A_1
33. Circle(edgeAB, A_1) → r_1
34. Intersect(xOyPlane, r_1) → B_1, E_1
35. Segment(D_1, E_1) → s_1