In our mind’s eye, the universe seems to go on forever. But using geometry we can explore a variety of three-dimensional shapes that offer alternatives to “ordinary” infinite space. When you gaze out ...

DNA can mimic protein functions by folding into elaborate, three-dimensional structures, according to a study from researchers at Weill Cornell Medicine and the National Heart, Lung, and Blood ...

It would be nice to have a shape that repeats non-periodically in three dimensions. Such constructions are much harder to visualize, but computationally it's not that much more difficult to prove ...

When most people think of shapes, they imagine a triangle, a rectangle, or maybe even a fancier-sounding rhombus or trapezoid. But to mathematicians, shapes encompass a vast universe of surprising ...

Researchers from Finland and Taiwan have discovered how graphene, a single-atom-thin layer of carbon, can be forged into three-dimensional objects by using laser light. A striking illustration was ...

Until last week, the world of science was unaware of the scutoid. The scutoid is a basic three-dimensional shape, like a cube or a sphere but not like either of those things. It’s more like a column ...