The GLU is the organizing body for geometry labs at various universities. If you are interested in forming your own lab, here is a good place to start.
Some of the well-established labs from which we derive much inspiration:
University of Michigan, University of Michigan
Illinois Geometry Lab, University of Illinois Urbana-Champaign
Experimental Algebra and Geometry Lab, University of Texas Rio Grande Valley
Experimental Geometry Lab, Unversity of Maryland College Park
i-center, Kansas State University
Mason Experimental Geometry Lab, George Mason University
Mathematical Computing Laboratory, University of Illinois at Chicago
Washington Experimental Mathematics Lab, University of Washington