Fractal calculus represents a significant extension of traditional calculus, providing a robust framework for the analysis of functions defined on irregular, non-differentiable fractal sets. This ...

When it comes to high-performance filtration, separation, sunlight collection, surface charge storage or catalysis, the effective surface area is what counts. Highly regular fractal structures seem to ...

"Clouds are not spheres, mountains are not cones, coastlines are not circles, and bark is not smooth, nor does lightning travel in a straight line." So writes acclaimed mathematician Benoit Mandelbrot ...

Scientists have provided the first experimental evidence for fractal light from simple lasers and add a new prediction, that the fractal light should exist in 3D and not just 2D as previously thought.

Fractal on ice: Example of the fractal structures in spin ice together with a famous example of a fractal (the Mandelbrot set), on top of a photograph of water ice. (Courtesy: Jonathan N Hallén, ...

Students investigate fractals, learn how fractals can be used to determine the length of a coastline, and explore the expression of mathematical principles in art. state some of the characteristics of ...

WALTHAM, Mass.--(BUSINESS WIRE)--Fractal Antenna Systems, Inc. today disclosed that it has successfully rendered a man invisible. The firm’s new invisibility cloak hid a subject named Peter at ...