Invariant distances lie at the heart of complex geometry, providing intrinsic measures of separation between points in complex manifolds that remain unchanged under biholomorphic mappings. Chief ...

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 ...

Reducing redundant information to find simplifying patterns in data sets and complex networks is a scientific challenge in many knowledge fields. Moreover, detecting the dimensionality of the data is ...

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

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.

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 ...

Researchers have developed an efficient new way to quickly analyze complex geometric models by borrowing a computational approach that has made photorealistic animated films possible. Researchers at ...

Pity the poor designers trying to generate eye-popping shapes for products they hope will earn "gotta-have" status. If they alter one curve using traditional surfacing software, another can change ...

Neuroscientists are exploring whether shapes like squares and rectangles — and our ability to recognize them — are part of what makes our species special. Credit...Video by Yoshi Sodeoka Supported by ...