This method involves assigning mathematical functions to control pixel intensity and hue, resulting in detailed and vibrant visuals. A significant aspect of this technique involves fractals ...

Welcome to my Fractals Repository, a collection of unique algorithms and visualizations that showcase the beauty of mathematical fractals. What You’ll Find: Julia Set Animations: Stunning, ...

Fractal Explorer An interactive web application for exploring and learning about mathematical fractals, built with Python and Streamlit. ## Features - Interactive visualization of classic fractals: - ...

In the late 19th century, Karl Weierstrass invented a fractal-like function that was decried as nothing less than a ...

ABSTRACT: During the past few decades, it has become clear that the distribution, sizes, and masses of cosmic structures are best described as fractal rather than homogeneous. This means that an ...

This work highlights the interplay between graph theory and fractal geometry, showcasing how different mathematical frameworks can be integrated to analyze spectral properties. Research on ...

A fractal is a structure defined by a unique mathematical formula, maintaining its shape at all scales. Mandelbrot wondered if the Universe could be a fractal. Fractals are ubiquitous in nature ...

hasard et dimension' the use of a neologism he coined — fractal — to describe 'broken' or 'fractured' mathematical and natural objects, infinitely rich in detail. Lacking a suitable unifying ...