Scientists are already considering applying their method to other geometric shapes, promising new advances ... that make certain configurations impossible. This method is particularly useful ...

This was also the early 1970s, in the middle of the hippie obsession with geodesic domes, so I designed a house that was a mix of domes, some Platonic solids, and some other interesting geometric ...

These configurations are encoded in geometric objects called phase spaces ... Phase spaces can take on very different kinds of shapes. For example, the position of a swinging pendulum can ...

Their full paper is available on the arXiv preprint server. When people tile their floors, they tend to use simple geometric shapes that lend themselves to repeating patterns, such as squares or ...

Mathematicians have proved a key building block of the Langlands programme, sometimes referred to as a “grand unified theory” of maths due to the deep links it proposes between seemingly ...

Crows are able to look at a handful of four-sided shapes and correctly distinguish those that exhibit geometric regularity from those that don't, according to a provocative new study. It's the ...

Squares, triangles, circles - these geometric shapes appear everywhere in art and architecture going back all through human history. Geometric regularity seems to be something that the human brain ...

They found that the shape of the petals is strongly influenced by the frustration known as the Mainardi-Codazzi-Peterson incompatibility, in which geometric compatibility conditions inherent on a ...