Abstract: An architecture deploying an energy-directing mesh so as to conform with a prescribed surface includes a plurality of radially extending support structures. Cords extend between the support structures in a generally circumferential fashion, and have attachment locations for the energy-directing material offset from the support structures. Each of a plurality of outermost intercostal cords is retained in tension between the support structures and is configured to substantially conform to the perimeter of the prescribed surface. Flexible intercostal compression reactor members are arranged to be placed in tension in a generally arcuate shape between adjacent support structures. Flexible radial compression members are placed in compression between the intercostal compression reactor members and the outermost intercostal cords, so that the outermost cords substantially conform with the perimeter of the prescribed surface.