a reconfigurable system having at least one detachable component and at least one detachable head assembly . the reconfigurable system may be a numerically controlled machine for manufacturing processes , such as milling or automatic fiber placement . the reconfigurable system may further comprise a gantry structure comprised of movably attached beams on which detachable components may be movably attached . the detachable components may include a concave component and a convex component . at least one detachable head assembly may be movably attached to at least one of the detachable components . the detachable components and head assemblies may be at least one of physically , electrically , and pneumatically connected to a connecting assembly attached to the gantry structure .