This program will draw fractals with an Iterated Function System or by the Chaos Game. Either method requires that the transformations defining the IFS be given. An IFS is composed of a number of ...

Fractal interpolation functions (FIFs) represent an innovative class of methods for modelling and approximating complex data. Derived from iterated function systems, these functions enable the ...

Spectral measures and self-affine fractals represent a thriving intersection between harmonic analysis and fractal geometry. In essence, a spectral measure is defined as a measure for which the ...

Matt Metcalf is spending his summer doing math and hoping for a “Eureka!” moment. His ultimate goal is to generate original fractal tilings, they study of which may someday be used by video game ...

This is a preview. Log in through your library . Abstract Lipscomb's one-dimensional space L(A) on an arbitrary index set A is injected into the Tychonoff cube IA. The image of L(A) is shown to be the ...

Fractals are geometric objects that are self-similar, i.e., you can break them apart into smaller pieces which are exact (but smaller) replicas of the original object. These smaller pieces in turn, ...