A paper shown in Panel I is folded along the dashed lines (- - -) to construct…

Label the net's column (top to bottom) A, B, C, D, with E attached to the right of A and F to the left of D. Folding gives opposite pairs A–C and B–D, with E and F as the remaining side faces. The patterns are unique per face: C = diamond, B = corner square, E = half‑rectangle, A = small corner triangle, F = half‑triangle, D = edge triangle, so each visible face in a cube view is forced by its pattern. For view (i) the diamond (C), corner square (B) and triangle must meet at one corner; the only triangle adjacent to both C and B is F, so the top face is F. Tracking the fold orientations shows F's half‑triangle lands on the opposite half of the top face from the one drawn, so (i) is inconsistent. For view (ii) the small corner triangle (A) and half‑rectangle (E) force the top face to be D; the front triangle matches A, but the half‑rectangle on the right face appears as a vertical band whereas the fold places it as a horizontal band, and D's triangle does not match the thin sliver on top, so (ii) is also inconsistent. Hence neither cube can be obtained from the net.