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This is a good thread, and I'm afraid I have to use/learn another modeller. For years I 've used Rhino3D, but it isn't very good at mesh handling. The latest upgrade finally improved a lot of things but I have to find out if it's suitable for making meshes like Tuyon describes otherwise I'll have hexagon, but I haven't used that a lot.

Perhaps I can add my two cents to the discussion to simplify some things by making a short resumé and adding some of my comment:

In object in Poser and many other 3d-applications (but not Rhino!) is built of one or more meshes which define the outside/surface of the object.
Meshes are made of "faces" or "surfaces" (vlakken) of minimal 3 points or vertices.A 2-point face cannot exist and is also degenerate. 4.point faces are preferable but not always flat. (with 3 points you can define a plane, if the fourth point is outside that plane, the face is  folded) n-gons  (surfaces made of multiple points) are even more difficult to keep flat.
Objects that totally surrounded by meshes, are sometimes called solids. But sheet-like objects like clothes can be made of an open mesh. Dynamic clothes are like this.
A normal or normal vector is a vector which is perpendicular (haaks, loodrecht) to the  face, Normals define what the inside or the outside of a model is, or in case of sheets the front or the backside.  When you import an object with the normals pointing inwards, it will be shown inside-out (which can look very strange)
The nature of meshes is, that you can't make curved objects with it, so most modellers make an approach to this by breaking up a curved surface in multiple flat surfaces. Poser use  smoothing to make it look curved again. The crease-angle setting defines if the angle between two faces is sharp or curved  (if that angle is smaller than, lets say, 80 degrees it is displayed as sharp if it's bigger it is displayed as curved, again: with normals you can define the angle between two faces) If you don't want the object to be displayed as curved, you can uncheck the smoothbox in the properties.
Normals are also very important for rendering and displaying. The backside of faces are not visible in poser!

Perhaps can someone else tell something about welding of meshes and the reason, because that's not completely clear to me.

-How can you improve things when you don't make mistakes?