A mathematician has developed a new way to uncover simple patterns that might underlie apparently complex systems, such as clouds, cracks in materials or the movement of the stockmarket. The method, ...

Self-affine tiles and fractal geometry form a rich field where geometric precision meets the complexity of nature’s form. At its core, the subject examines how self-affine tiles—constructed via affine ...

Abstract: Fractal sets are the geometry of chaos. It is an important branch in modern mathematics, so they are often used in graphic design, pattern design, fashion design and textile industries. The ...

Kids have an adult-like preference for visual fractal patterns commonly seen in nature by three years, according to the University of Oregon researchers. That discovery emerged among children who've ...

Abstract: The fundamental relationship between self-similar, that is, fractal, arrays and their ability to generate radiation patterns which possess fractal features is examined in this paper. The ...

In a world made small and accessible by technology, it is easy to forget the magnitude of nature’s infinite complexity. But sometimes technology reminds us, such as when trawling planet Earth on ...

Studying the intricate fractal patterns on the surface of cells could give researchers a new insight into the physical nature of cancer, and provide new ways of preventing the disease from developing.