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.