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 ...

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 ...

Self-affine tiles and fractal geometry form a rich field where geometric precision meets the complexity of nature’s form. At its core, the subject examines how self-affine tiles—constructed via affine ...

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 ...

It is shown that every class of contracting similitudes {f1, ..., fN} on Rs satisfying the OSC and such that $\dim_{H} \mathcal{K}_{0} < s$, where $\mathcal{K}_0$ denotes the corresponding fractal, ...