Complex analysis and the geometry of domains represent a vibrant interdisciplinary area that amalgamates tools from pure mathematics with practical applications. This field investigates the properties ...

Complex geometry, a rich interlace of algebra, analysis and geometry, continues to unveil surprising interconnections between abstract theories and practical applications. At its core, the study of ...

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 ...

Researchers uncover the mathematical structure behind mesmerizing tiling patterns, linking their visual appeal to the ...

PITTSBURGH--Researchers at Carnegie Mellon University have developed an efficient new way to quickly analyze complex geometric models by borrowing a computational approach that has made photorealistic ...

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 ...

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 ...

New approaches to creating shapes promise to simplify the design work behind the aesthetic surfaces found on consumer products. Pity the poor designers trying to generate eye-popping shapes for ...

Additive manufacturing shines with promise. The discipline, also known as 3D printing, holds the promise of being the most powerful, efficient and versatile method of manufacturing, enabling a whole ...

The common brick is something we are all quite familiar with; fired clay in the shape of a rectangular cuboid. Adobe, which most people are less familiar with, is the name for a compressed mixture of ...