Shading brings 3D forms to life, beautifully carving out the shape of objects around us. Despite the importance of shading ...

Researchers have uncovered how primate brains transform flat, 2D visual inputs into rich, 3D mental representations of ...

The field of two-dimensional (2D) materials has seen substantial growth with emerging options such as MXenes, transition metal dichalcogenides (TMDs), black ...

For 50 years, scientists believed that schools of fish would save the most energy by swimming in flat diamond formations.

Its methods may eventually help mathematicians chart even more of the giant atlas. While the new paper proves that strangely twisted shapes exist in dimension 126, it gives no hint of how to construct ...

The shape of the Universe When you look around the Universe you live in, it looks like a 3D space, just like the surface of the Earth looks like a 2D space. However, just like the Earth, if you were ...

When you look at your surrounding environment, it might seem like you're living on a flat plane. After all, this is why you can navigate a new city using a map: a flat piece of paper that represents ...

For example, the surface of a giant doughnut is another 2D space. Through a field called geometric topology, mathematicians like me study all possible spaces in all dimensions.

To determine an optimal beer glass shape, Pellegrini adjusted the 2D shape that defines the body of revolution.