Constructing 3D Figures from Polygons

[Werg22]

By 3d figure I mean what a pyramid with a triangular base is to a triangle and what a cube is to a square. My question is, is it possible to form a tridemensional figure with any polygon? If so, what is the relation between the number of sides of the polygon and the number of faces of the figure?

 

[0rthodontist]

This can only be done with the triangle, square, and pentagon. They are called the platonic solids
http://www.hitxp.com/math/geo/euclid/210503.htm