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posted 22. February 2004 09:55
Treasures Inside the Bell
by Carlos E. Puente
Abstract: Universal constructions of univariate and bivariate Gaussian distributions, as transformations of arbitrary measures with continuous distribution functions via, respectively, plane- and space-filling fractal interpolating functions, are reviewed. It is illustrated how such construction yields infinite exotic kaleidoscopic decompositions of the circular bivariate bell in terms of beautiful "mandalas" having arbitrary n-fold symmetries. It is argued that these ideas yeild a new paradigm for the emergence of order, for a host of natural patterns, such as snow crystals and biochemical rosettes (including life's own DNA), are found as mathematical designs inside the bell.
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[ 22. February 2004, 10:01: Message edited by: Moderator ]
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