Bradley, James2008-02-272008-02-271993-06-01http://hdl.handle.net/1880/46307The existence of at least four exact self-affine time functions, called E5:3 functions, that allow for an infinite number of exact replications of 12345abc structures, is demonstrated. These E5:3 functions are defined by algorithms and have no derivative anywhere. One of these E5:3 functions, called the standard E5:3 function, has the property of scaling like a random walk. This function also depends on the Golden Mean and rotates congruently with the Golden Spiral. A complete L-System specification for generating the standard E5:3 function is presented.EngComputer Scienceunknown1993-519-2410.11575/PRISM/30403