Author(s)

E.M. Kent

Abstract

It is possible to generate a rich variety of retractable structures by a novel application of two seemingly unrelated theories: The theory of kinematics, as it is pertained to to the behavior of kinematic one-sheet Revolute Hyperboloid (RH), and the theory of order and symmetry in space as it pertains to the analysis of the Elementary Periodic Region (EPR). 1 Introduction Human imagination has always been stimulated by the kind of geometrical constructs called 'quadratic curved ruled surfaces . These mathematical objects combine the tenderness of continuously varying curves with the staccato rhythm of straight lines, creating a notion which might be called 'frozen movement. Add to it the most wondrous property of all, The ability to collectively and continuously move and changes the appearance

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