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 ...

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, ...

Fractal geometry has emerged as a powerful analytical framework in geographic analysis, offering new ways to understand the inherent complexity and self‐similarity of urban forms. By focusing on ...

A new approach has given rise to the hope for a faster and more reliable method for determining cancer cell types. Scientists from the Max Planck Institute for Intelligent Systems in Stuttgart and the ...

Humans are visual creatures. Objects we call “beautiful” or “aesthetic” are a crucial part of our humanity. Even the oldest known examples of rock and cave art served aesthetic rather than utilitarian ...

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 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 ...

That discovery emerged among children who've been raised in a world of Euclidean geometry, such as houses with rooms constructed with straight lines in a simple non-repeating manner, said the study's ...

Richard Taylor receives funding from The Australian Research Council, The Research Council for Science Advancement, and The WM Keck Foundation. Humans are visual creatures. Objects we call “beautiful” ...