This invention provides a high-output industrial light fixture that employs a plurality of commercially available fluorescent light sources in an array of adjustable arm assemblies each housing one or more light sources (fluorescent bulbs) in an associated reflector box or other source housing structure. By adjusting the arm assemblies, a more-precise spread of light onto the target surface can be achieved. Arm mounting brackets can be provided with one or more locking positions to facilitate multi-position angular placement of each individual arm. A plurality of arm assemblies can be provided around a center housing or hub, each directed outwardly in a radial direction from a central point or axis of the center housing/hub. Each arm's source reflector box/source housing structure can be located to project light either downwardly or upwardly and can be angled at a plurality of angular adjustment positions with respect to the center housing in each of the upward and/or downward positions. The bottom surface of center housing remains unobstructed (with arm assemblies extending away from it) so that cameras, sensors and other devices can be provided thereon. In an alternate embodiment, the reflector box/source housing structure for containing each light source can be mounted so as to extend transversely to a radial direction from the center. Accordingly, each box is located at a radial spacing from the center and extends substantially perpendicularly with respect to the radius, so as to define a polygon of reflector boxes around the center.