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 ...

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

The contrast between the charred and intact wood, and the way the resin fills the voids really brings out the fractal nature of the Lichtenberg figures. [PapaJ06] doesn’t really show us too ...

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 ...

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, ...

Taylor has spent years studying the elegant patterns found in nature, known as fractals—self-repeating structures that occur in everything from tree branches to snowflakes. His ongoing ...