An octahedron is the name for a non-specific shape.
It could be a di-rectangular pyramid with 6 vertices - this is like two rectangular [or square] based pyramids stuck together base-to-base.
Or it could be a heptagonal pyramid, in which case it has 8 vertices.
Or it could be a hexagonal prism, in which case it has 12 vertices.
There are other octahedraons.
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A truncated octahedron has 24 vertices.
An octahedron has eight faces. If it has 62 faces then it is not an octahedron!
The prefix octa- means eight. So, a octahedron will have 8 faces. It also has 12 edges and 6 vertices.
An octahedron is a closed 3-d shape with 8 polygonal faces. There are 257 topologically different convex octahedra. An octahedron can have 6 to 12 vertices.
An octahedron has8 faces, 12 to 18 edges and 6 to 12 edges.