The Edge will not work because you have to use the Festool velcro backing plate. It is a quick release plate made exclusively for that maching. The unit comes with a velcro backing plate that is very good, and I also purchased (for an additional $15), the velcro polishing pad. The difference between the two is one is cushioned and the other is not cushioned.
Any of the velcro based pads will work: LC, Meguiar's, Propel, etc.
The tool is very nice to use and worth the additional money IMO. I don't regret buying it at all.
Toto