Some animals carry patterns so precise and mathematically exact that scientists struggle to explain how nature produced them ...

Mystics and mathematicians alike saw geometry as something truly special: the pattern of existence itself! They all agreed ...

A study published in Nature Communications and directed by Professor Carlo Vittorio Cannistraci, Director of the Center for Complex Network Intelligence (CCNI) at the Tsinghua Laboratory of Brain and ...

Algebraic geometry and differential geometry form two pillars of modern geometry, each providing its own language and techniques to study shapes and spaces. Algebraic geometry examines solution sets ...

Complex geometry and manifold theory occupy a central position in modern mathematics, uniting differential topology, algebraic geometry and global analysis. At its heart is the notion of a complex ...

Utrecht University researchers Rodolfo Subert and Marjolein Dijkstra show in their latest study that complex three-dimensional networks in materials can emerge from nothing more than particle shape.

Tessellations aren’t just eye-catching patterns—they can be used to crack complex mathematical problems. By repeatedly reflecting shapes to tile a surface, researchers uncovered a method that links ...

Coordinating dozens of muscles typically requires complex neural control, and it is unclear how much of that coordination must come from the brain versus the body’s structure. Professor Mitra Hartmann ...

Whether it’s a 3D printed robot chassis or a stained glass window, looking at a completed object and trying to understand how it was designed and put together can be intimidating. But upon closer ...

No one knows how to find the smallest shape that can cover all other shapes of a certain width. But high school geometry is getting us closer to an answer. “Hey — I’ve got holes in some of my jeans.