By replacing the most fundamental concept in topology, Peter Scholze and Dustin Clausen are taking the first step in a far ...

Looking at a globe, a country’s coastline may appear smooth and continuous. But zoom in with a satellite view and that neat ...

Scientists found Chinese money plant leaves form neat geometric patterns called "voronoi diagrams" using simple growth ...

The “coastline paradox” helped to define fractals, but coastlines themselves turn out to be less fractal than thought ...

The laser engraving landscape in 2026 is defined by a fusion of traditional craftsmanship and cutting-edge AI, with LightBurn 2.0 and its 2.1 release candidates leading the charge. Makers are no ...

Celebrating its golden jubilee, the Hofstadter butterfly fractal is a remarkable fusion of art and science. This iconic “X”-shaped fractal captivates physicists, mathematicians, and enthusiasts alike ...

At the 61st Venice Biennale, Lebanese-American artist Nabil Nahas uses the global stage to offer a fuller, richer view of ...

Water is essential and ubiquitous, shaping and reshaping every aspect of our lives and our society. Central to McLuhan's philosophy is the concept that “new environments”—created by emerging ...

Photo by Jeff Tome Bees on hexagonal honeycomb. Often when describing patterns, they are placed in one of two categories: organic or geometric. Organic designs are ones based on natural things, like ...