Researchers from the Max Planck Institute in Marburg and the Philipps University in Marburg have discovered the first regular ...

Fractals are intricate patterns that repeat at different scales, often found in nature, while spectral analysis involves studying the properties of operators, particularly in relation to their ...

While mathematicians such as Sierpiński and Mandelbrot are famous for investigating mathematical versions, fractals actually occur in all sorts of places in nature: in lightning bolts, blood vessels, ...

Mandelbrot wondered if the Universe could be a fractal. Fractals are ubiquitous in nature, from tree branches to the contours of a snowflake. Mandelbrot explored whether the Universe, when zoomed out, ...

Fractal analysis and texture image processing ... varying degrees of self-similarity across different scales. This Nature Research Intelligence Topic summary is one of 30,000 created with ...

Marcus du Sautoy describes how fractal geometry can be used to describe natural objects, and how it is used in digital animation. Trees use the simple rule of trying to maximise surface area ...

Read more: Any Rubik's Cube can be solved in 20 moves, but it took over 30 years for anyone to figure that out Many shapes in nature have fractal-like properties. Crystals show the kind of ...