Fractals are remarkable examples of self-similarity where a structure or dynamic pattern is repeated over multiple spatial or time scales. However, little is known about how fractal stimuli such as ...

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, ...

Fractals, shapes comprised of self-similar parts, are not merely prescribed linear structures. A wide class of fractals can also arise from the rich dynamics inherent to nonlinear optics. Although ...

As Sigmund Freud made very clear, human beings are compelled to repeat patterns—the repetition compulsion. Patterns laid down early in life are propelled forward to recreate the familiar that can be ...

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 ...

Fractals are intricate geometric structures created when patterns (or pieced of patterns) are altered and duplicated at ever-diminishing scales. Even simple shapes can quickly grow complicated when ...

Fractals, self-replicating patterns seen at varying scales, are a fascinating phenomena found widely in nature, from snowflakes to ferns and coastlines. But did you know that fractals can also be used ...