A ‘face’ is a surface occuping only one plane (ie if face on 2 dimentional) between either 3 or 4 verts.
A polygon can only be one face if its a triangle or 4 sided shape (square, rectangle, trapesium, rhombus). All other polygons are a combination of faces
The trick is to make sure the faces are formed in the correct way depending on what you want to model
I personally get other polygon shapes by creating a circle mesh by specifing the number of sides . So ‘circle - 6’ is a hexagon. (in reality a mesh circle/cylinder/tube is actually by default a 32 sided shape - is this a do-se-do-deca thingamy?)
To fill the faces in I tend to select all, extrude then emidiatley [enter] then scale - 0 and rem doubles. This creates pieshape triangles as the faces.
If you have modelled an outline on a picture its important to create the faces in the right way for the other view so they will ‘bend’ at the right points.
I personaly prefer to work with faces from the start
blckpythn: What you want is a feature called NGons which is basically a polygon with more than 4 sides. (i.e. you can have any number of verticies on a plane)
Right now, Blender has no support for NGons so you’re gonna have to wait until they add that in.