As long as they are not parallel, they will meet at an "edge", which is just a straight line.
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an edge or in more simpler term "side"
If the faces are flat, it's a line.
Yes. I think of an edge as a line. The edges meet at vertices, and the faces meet at edges.
edge
a cone * * * * * That cannot be correct. The apex of the cone is a vertex. I do not believe that such a shape is possible. Wherever the two faces meet, there will be an edge.