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 ...

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 ...

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 ...

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 ...

French-American mathematician Benoit Mandelbrot has died of cancer at the age of 85 in Cambridge, Massachusetts. Mandelbrot was most famously known for his work in exploring the mathematical shapes ...

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 ...

When it comes to the study of both human nature and the natural world, one must be willing to reckon with the fact that a certain degree of chaos will be present in whatever facets of this planet they ...

MATHEMATICS is a curious subject. Though often classed as one, it is not really a science. That scientists use it to describe their interpretation of reality is not quite the same thing. Nor, though, ...

The geometry that describes the shape of coastlines and the patterns of galaxies also elucidates how stock prices soar and plummet Editor's Note: This story was originally published in the February ...

Fractals are intricate geometric structures created when patterns (or pieced of patterns) are altered and duplicated at ever-diminishing scales. Even simple shapes can quickly grow complicated when ...