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 ...

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 ...

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 ...

Scientists have just defined a new shape called the scutoid (SCOO-toid) while studying epithelial cells, the building blocks of embryos that eventually end up forming our skin and lining our organs ...

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 Sun Temple overlooks the Cliff Palace dwelling at Mesa Verde. Mesa Verde National Park's ancient cliff dwellings are impressive. But there may be something more extraordinary than meets the ...