Consider the Euler variables of polyhedral objects namely, P1, P2, P3, and P4 as given in the table below.
| Polyhedral objects | Faces (F) | Edges (E) | Vertices (V) | Faces' inner loops (L) | Bodies (B) | Genus (G) |
|---|
| P1 | 6 | 12 | 8 | 0 | 1 | 0 |
| P2 | 5 | 8 | 5 | 0 | 1 | 0 |
| P3 | 5 | 12 | 8 | 0 | 1 | 0 |
| P4 | 10 | 24 | 16 | 0 | 1 | 0 |
Which one of the following options is NOT a topologically valid closed polyhedral object as per Euler's law?
