A COMPLETE L-SYSTEM SPECIFICATION FOR GENERATING AN EXACT SELF-AFFINE GROWTH/COLLAPSE FUNCTION WITH A RANDOM-WALK SCALING PROPERTY
Date
1993-06-01
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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.
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Computer Science