A method for producing three-dimensional space frames or truss structures from simpler components and space frames or truss structures produced by the associated method. The various components, which may be made from virtually any material, are shaped in such a way so that they may be fitted together to create a space frame or truss structure. The components may be held together by any available attachment means, or by the interaction of the components themselves. The method and associated components allows for the assembly of three-dimensional space frames or truss structures from planar materials, significantly reducing cost and manufacturing time. These space frames or trusses can then be used as structural members, as the interior load-bearing portions of sandwich panels, or in any situation where high-strength and light weight are desirable.

A foldable tubular construct/element with one rigid degree of freedom is of a tubular construction formed by a number of single layered annular units which are connected in sequence; each single layered annular unit is of a prism having N ridge lines; two adjacent prisms each having N sides are connected to each other by sharing a polygon with N sides formed on an intersection plane; each prism with N ridge lines is composed of N rigid planar quadrilateral facets; two adjacent single layered annular units comprise N spherical mechanisms formed by the intersections of only four planar quadrilateral facets at each apex; the polygon having N sides formed in the intersection plane of the two adjacent single layered annular units is a planar polygon with an arbitrary number of sides greater than for a triangle; the ridge lines of each prism having N ridge lines are parallel to each other; the connecting ridge lines of the tubular element are coplanar; when the polygon having N sides formed in the intersection plane of the two adjacent single layered annular units is a line-symmetric polygon of even number of sides with at least one diagonal symmetric axis, the plane in which connecting ridge lines of the tubular element are located is perpendicular to one diagonally symmetric axis.

Foldable tubular construct/element with one rigid degree of freedom is of a tubular construction formed by a number of single layered annular units which are connected in sequence; each single layered annular unit is of a prism having N ridge lines; two adjacent prisms each having N sides are connected to each other by sharing a polygon with N sides formed on an intersection plane; each prism with N ridge lines is composed of N rigid planar quadrilateral facets; two adjacent single layered annular units comprise N spherical mechanisms formed by the intersections of only four planar quadrilateral facets at each apex, where N is a number greater than 3.