We are said that the real world in which humans live is present in three dimensions or four dimensions. "Three-dimensional" is a relatively easy-to-understand concept for people who live while ...

Can you imagine the imprint a four-dimensional hexagon might leave as it passes through your three-dimensional kitchen table? Probably not, but some people can. One such person was mathematician ...

When calculating the volume or surface area of a composite solid, split the object up into sections and calculate each element separately. Split the L-shape into two rectangles and add together the ...

Researchers have "cloaked" a three-dimensional object, making it invisible from all angles, for the first time. However, the demonstration works only for waves in the microwave region of the ...

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 ...

Front's Anna Lindgren and Sofia Lagerkvist have unveiled three 3D-printed vases that were designed by artificial intelligence based on their two-dimensional drawings. The Swedish designer duo has ...

The basic lantern object is made by cutting a polymer sheet into a diamond-like parallelogram shape, then cutting a row of parallel lines across the center of each sheet. This creates a row of ...

Producing three-dimensional objects at very small scales with precision has often been a difficulty for engineers. Especially in the medical devices field, such objects could have great utility, but ...

The University of Manchester has been gifted a unique mathematical object known as a Gömböc – the first known physical example of a new class of shapes called mono-monostatics. The Gömböc is tangible ...

Microwaves can be seen being blocked and scattered without (l), and "reconstructed" (r) with the cloak Researchers have "cloaked" a three-dimensional object, making it invisible from all angles, for ...