When we apply Euler's rule to polyedra, we generally term it the Euler characteristic. We'll find that every polyhedron will follow the rule. That rule is V - E + F= 2, where V = number of vertices, E = number of edges, and F = number of faces. The formula can appear in different forms, as you might guess, and just one is E + F - 2 = V. That said, no, it is not possible to construct a polyhedron that violates the Euler characteristic.
There is no simply connected polyhedron that meets these requirements because they do not satisfy the Euler characteristic.There is no simply connected polyhedron that meets these requirements because they do not satisfy the Euler characteristic.There is no simply connected polyhedron that meets these requirements because they do not satisfy the Euler characteristic.There is no simply connected polyhedron that meets these requirements because they do not satisfy the Euler characteristic.
The numbers given do not satisfy the Euler characteristic for a polyhedron. There is, therefore, no such polyhedron.
The numbers given do not satisfy the Euler characteristic for a polyhedron. There is, therefore, no such polyhedron.
No. The given numbers do not satisfy the Euler characteristic for a simply connected polyhedron.
No. The numbers do not satisfy the Euler characteristic.
No. The numbers are not consistent with the requirements of the Euler characteristic.
It cannot be a polyhedron because it does not satisfy the Euler characteristic.
Not any normal polyhedron since the numbers are contary to the Euler characteristic.
There can be no such polyhedron since the given numbers are not consistent with the Euler characteristic.
There can be no polyhedron with the given number of edges, faces and sides since they do not satisfy the Euler characteristic.
There can be no simply connected polyhedron with those values since they are not consistent with the Euler characteristic.
Since the numbers do not satisfy the Euler characteristic, it is not a simply connected polyhedron.