The geometry that describes the shape of coastlines ... On a practical level, this finding suggests that a fractal generator can be developed based on historical market data.

Electrons have orbits that have a nice, regular geometry ... up a fractal structure called a Sierpiński gasket of carbon monoxide: going from the smallest possible version (first generation ...

Fractal geometry is one of the most elegant and beautiful branches of mathematics. An early analysis of fractals came from a surprising and weird phenomenon that occurs when you try to measure a ...

Indeed, for more than a generation, artists and mathematicians ... Benoît Mandelbrot—the father of fractal geometry—was impressed by early versions of Frax. From their long history in the ...

Here we show geometry-induced formation of fractal ... This work demonstrates a route for generation of fractal topological defect states in responsive soft matter. In this article, we demonstrate ...

is based on new branch of mathematics called fractal geometry. The method could help scientists better understand the complicated signals that the body gives out, such as nerve impulses or brain ...

It required rethinking one of the basic concepts in math -- dimension. In Mandelbrot's view, another dimension exists between two and three dimensions. It's a fractal dimension, and the rougher ...

but exploring their contours can be difficult on a desktop computer because of all the heavy math required to render them visually. “Traditionally with fractal generation, you have to wait ...