There is an extensive network of trails here exploring the countryside south of Kaiserslautern. They can also be connected to other trail systems for seemingly unlimited mileage (kilometerage?). There is some road, but plenty of singletrack to explore.
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Get a trail map at a local bookstore. Start at any of the trailheads meeting the roads on the south side of Kaiserslautern and head out to Hurmburg Tower. Return the way you came, or take any other discernible route back to mix things up.