A system for providing at an application surface of a therapeutic device a multitude of magnetic flux lines of different angles and strengths, including a plurality of arms and a plurality of magnets. Each arm piece may have one or more connecting members and one or more magnet receiving sockets or recesses. At least some of the one or more connecting members are generally configured to attach to one or more attachment or mating mechanisms on other arms. The magnets are placed in the sockets, and the connecting members of the plurality of arms are connected such that the arms form huh-and-spoke configurations, chain-configurations, loops, lines, or any combination of the above.