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 ...

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, ...