This paper presents a new concept for retractable roof structures. The new
structures consist of a foldable lattice of beams connected by cylindrical
joints, to which covering panels or membranes are attached. These structure
s fold towards their perimeter and there is practically no limit to their s
hape. Solutions to the key problems that have to be solved in the course of
the kinematic design of this new type of structure are presented, includin
g two different ways of connecting them to fixed foundation points while ma
intaining their internal degree of mobility, and how to determine the shape
s of the covering panels to avoid interference during retraction.