An 'edge-wrapped' bezel is fitted similarly, but it's top and bottom edges may not necessarily require you to extend the wire under the bottom edge, or over the top edge.
This style of bezel is mainly decorative.
The wires on the front and back of the gemstone serve as the actual holders, securing the stone in place and protecting it from being pushed out.
These holding wires can also be an integral part of the design.
Some designs are simple and understated, while others make a bold, striking statement.