Edges of almost anything can be decorated, here are just a
few.
A decorative edge for tile is a cove (concave) or quarter round
(convex) edge. They come in many colours and dimensional
patterns.
A decorative edge for wallpaper is call a border. Commonly used
instead of a chair rail or at the top of a wall, they come in many
different patterns and colours.
Decorative edges on furniture can be braided, or seamed in
fabric or carved in wood.
Decorative edges on lamp shades can be beaded, fringed, tasseled
or just plain.
Decorative edges for cards can be decal, embossed, stamped,
mechanically or hand drawn.