A collapsible, self-supporting structure is disclosed wherein the structure is made up of a network of rod elements pivotally joined at their ends and forming scissors-like pairs in which rod element crossing points are pivotally joined. The network consists of a plurality of pairs of inner and outer apical points where groups of radiating rods are pivotally joined. The outer apical points lie on a surface of revolution such as a spherical section and each group of rods radiating from an inner apical point lie essentially in a common plane whereby to effect the self-supporting action. For any pair of apical points the group of rods defining the inner apical point radiate in their common plane and join rods of other groups at the surrounding outer apical points.
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