Fractals are mathematical curves that are made up of ever smaller copies of themselves, so that zooming in on one part of the curve results in a very similar shape to the whole. Many fractals ...

We investigate three of 2024’s biggest breakthroughs in mathematics, including a better way to pack spheres in high dimensions, a new way to avoid forming patterns of numbers, and an 800-page proof of ...

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 ...

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 ...

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 ...

The occasion was the 100th anniversary of the Sierpiński triangle, a type of fractal. Through the event, Cambridge wanted to celebrate Sierpiński’s mathematical genius and strengthen ties between the ...

The basic idea of a fractal is that you can use a single mathematical formula to define a structure at all scales. In other words, you can zoom in and out of a fractal and it still maintains the ...