Fractal geometry investigates complex shapes that exhibit self-similarity across multiple scales, while spectral analysis focuses on the study of the eigenvalues and eigenfunctions of operators, most ...

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 ...

Drawn from the irregular shapes and processes found in nature, his research benefited a wide array of fields, from art to physics and finance. Steven Musil is a senior news editor at CNET News. He's ...

A bacterium has evolved an enzyme that assembles in a fractal structure, a mathematical pattern that repeats itself at smaller scales. Fractal patterns are found throughout nature on large, ...

You may not be able to define “fractal” — yet — but fractals are, in fact, everywhere. As you might expect from hearing her title, Hayley Brazier, Donald M. Kerr curator of natural history at the High ...

You may not be able to define “fractal” — yet — but fractals are, in fact, everywhere. As you might expect from hearing her title, Hayley Brazier, Donald M. Kerr curator of natural history at the High ...

BEND, Ore. (KTVZ) -- Nature is alive with a special type of pattern called fractals. From the smallest ice crystal to the vastness of the galaxy, fractals are the building blocks of the natural world.

Katie has a PhD in maths, specializing in the intersection of dynamical systems and number theory. She reports on topics from maths and history to society and animals. Katie has a PhD in maths, ...

Benoit Mandelbrot, the Polish-born, French and American mathematician, known as the "father of fractal geometry," is celebrated in today's Google Doodle, on what would have been his 96th birthday.