What is the euler's formula for octahedron?

Answer 1

The Euler characteristic states that V - E + F = 2

where V = vertices, E = Edges and F = Faces.

An octahedron has 8 faces, so the Euler characteristic leads to V - E + 8 = 2

or E = V + 6

An octahedron can be any one of

a heptagonal pyramid (V = 8, E = 14)

a hexagonal prism (V = 12, E = 18)

a quadrilateral dipyramid (V = 6, E = 12)

There are other octahedral shapes as well.

Answer 2

F+V=E+2

Answer 3

F+V=E+2