A stellated octahedron is the 3-D shape formed when two regular tetrahedra (triangular pyramids) which point in opposite directions are made to intersect. This is analogous to two equilateral triangles being drawn so that they form a hexagram (or Star of David).
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If you mean the regular polyhedra, they are: tetrahedron, cube (or hexahedron), octahedron, dodecahedron, icosahedron, (Plato's 50) plus: small stellated dodecahedron, great stellated dodecahedron, great dodecahedron, great icosahedron for 9. Maybe a sphere is a perfect curved 3D figure.
The simplest stellated polyhedral shape is the stellated tetrahedron with 12 faces (3 * 4) Others have more faces.
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