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 ...

Geometry in ecological patterns of landscape and vegetation is not truly fractal, and varies across a range of scales, whereas fractal geometry provides tools for predicting and describing ecological ...

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.

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 ...

The Fractal Foundation is a local not-for-profit that uses the beauty of fractals to inspire interest in science, math and art. They have many exciting outreach opportunities that bring fractals to ...

Though now extinct, ammonoids (a group of marine mollusks with shells) evolved for 350 million years, always with a tendency toward increasingly elaborate shell structures. Scientists have studied ...

Have you ever stared at a cauliflower before preparing it and got lost in its stunningly beautiful pattern? Probably not, if you are in your right mind, but I reassure you it's worth a try. What ...

Mr. Lundberg introduced me to Euclid, a very smart mathematician who lived about 2,300 years ago. Mr. Lundberg was my geometry teacher in high school in North Dakota. I would guess he wasn't very ...

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 ...