An octahedron is a closed 3-d shape with 8 polygonal faces. There are 257 topologically different convex octahedra. The properties of octahedra will depend on which of these 257 shapes you have in mind. Furthermore, the properties of any of these octahedra can be modified if the shape is altered by stretching of skewing (twisting) the shape.
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An octahedron has eight faces. If it has 62 faces then it is not an octahedron!
An octahedron has eight bases/faces.
rectangle and octahedron
An octahedron is not a polygon. A polygon is a two dimensional shape. An octahedron is a three dimensional shape and is classified as a polyhedron.
Start with an octahedron in the form of a quadrilateral based dipyramid a regular octahedron is a special case of this). This shape has six vertices - chop these off so as to remove a quadrilateral based pyramid. You will be left with a truncated octahedron. It is an octahedron which has been truncated (shortened) by cutting off its extremities.