Uncut diamonds are not any particular shape, though diamond crystals are often octahedra. Cut diamonds usually have a lot more than 8 faces. The most popular, the brilliant cut, has 57 or 58 faces.
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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.