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|Title:||A COMPLETE L-SYSTEM SPECIFICATION FOR GENERATING AN EXACT SELF-AFFINE GROWTH/COLLAPSE FUNCTION WITH A RANDOM-WALK SCALING PROPERTY|
|Abstract:||The 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.|
|Appears in Collections:||Bradley, James|
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