Collapsible building frame modules having first and second frame components are contemplated. One or more cross-link beams couple the first and second frame components. It is contemplated that the one or more cross-link beams slide along a frame component on one end and rotate with respect to a different frame component on an opposite end to thereby fold or unfold a building frame module. One or more building frame modules can be horizontally or vertically stacked to form a building frame or a portion of a building frame.

A construction system for mechanical metamaterials based on discrete assembly of a finite set of modular, mass-produced parts. A modular construction scheme enables a range of mechanical metamaterial properties to be achieved, including rigid, compliant, auxetic and chiral, all of which are assembled with a consistent process across part types, thereby expanding the functionality and accessibility of this approach. The incremental nature of discrete assembly enables mechanical metamaterials to be produced efficiently and at low cost, beyond the scale of the 3D printer. Additionally, a lattice structure constructed of two or more rigid, compliant, auxetic and chiral part types enable the creation of heterogenous macroscopic metamaterial structures.

A roof truss can comprise a lower chord, two upper chords that each have a second end pivotably coupled to the second end of the other of the upper chords, and braces that include two or more pivotable braces that each have a first end pivotably coupled to the lower chord and a second end pivotably coupled to one of the upper chords, where the pivotable braces include at least two extendible braces that are each extendible from a shortened to an extended state. The roof truss can be movable between a collapsed state in which each extendible brace is in the shortened state and an expanded state in which each extendible brace is in the extended state and the second end of each upper chord is disposed further from the lower chord. Each pivotable brace can pivot when the roof truss moves between the collapsed and expanded states.