Abstract: A collapsible building structure is disclosed which includes a pair of stressed membranes which are fixedly held in spaced relation when the structure is in its erected form. Lines of tension are formed in the membrane when the structure is erected which generally define rectilinear grid patterns. A plurality of node members are arranged on each of the two membranes such that each node member is separated by intersecting lines of tension. Paired nodes on each of the membranes are connected by a tensile member. Each of the nodes on one membrane are connected by a compression strut to the nodes on the other membrane which are most closely adjacent to its paired node on the other membrane. The building structure is selectively collapsed and re-erected by selectively tensing or relaxing the tension members. Building structures may also be formed utilizing flexible tension members connecting the node members which replace the stretched membranes.