A polygon has two faces, front and back.
A triangle has two faces, front and back.
The way most polygons are rendered, only one face is visible.
The smallest polygon is a triangle. (Three points define a plane.)
Many editors use quad polygons to make smoother meshes.
Any polygon can be reduced to a number of triangles.
Nearly all graphics processors convert polygons into triangles internally.
A triangle requires three vertices (usually called verts), a quad polygon requires four verts. So, a quad poly model takes up less storage space on disk. A triangulated model takes up more space since you need six verts to describe a quad poly based on two triangles.
Clear as mud?
--
TAZ
"Do you think it is wise to provoke him?" "It's what I do." -- Stargate SG-1