The mathematician Benoît Mandelbrot is best known for his work in the field of fractal geometry. He told me that when he was seeking a word to describe his geometry, thumbing through his son's Latin ...

Fractal geometry is a field of math born in the 1970s and mainly developed by Benoit Mandelbrot. If you’ve already heard of fractals, you’ve probably seen the picture above. It’s called the Mandelbrot ...

Students will discover the ways that fractal geometry interrelates artistic, scientific, and mathematical approaches to investigating natural forms, patterns and systems. Students will develop an ...

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 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, ...

In mathematics, simple equations can generate a complex evolution in time and intriguing patterns in space. One famous example of this is the Mandelbrot set, named after the French-American ...

The study of Dirichlet forms and Markov processes in fractal geometry offers a robust framework for analysing irregular spaces that do not conform to classical Euclidean structures. Dirichlet forms ...

Tom Beddard is a UK-based artist with a fractal fascination. Among his most fascinating works is a set called Fabergé Fractals — a collection of mesmerizing 3D structures created from computer ...

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 ...