Abstract: A variable support structure with modular construction includes at least one support structure module, which is bounded by joints (114, 115, 126, 121) of a first joint set that lie in a first surface, and by joints (101, 102, 113, 108) of a second joint set that lie in a second surface, and with at least one joint (109) of a third joint set that lies outside of the first surface. At least some of the joints of the first and second joint sets have a fixable position relative to one another, especially being connectable with one another, by a guide mechanism. The at least one joint (109) of the third joint set is connected with at least two joints (114, 115, 113, 121) of the first and/or second joint set by a connecting element (39, 41, 43, 45) that transmits essentially only tension forces.