After four dimensions our visual imaginations are pretty much useless. Here's two thought experiments to show how weird hyperspheres are. First, what happens if you confine a sphere to a cube?

An example of a four-dimensional object is the tesseract, also known as hypercube. Just as a cube consists of six square facets, a tesseract comprises eight cubic cells. Although we cannot fully ...

For example, let’s try visualizing the four-dimensional equivalent of a cube, known as a tesseract, by building up to it. If we begin with a point, we can sweep it in one direction to obtain a ...

A revision to Apple's Dashboard software may offer users the option to choose between multiple widget user interfaces, including a three-dimensional cube environment, a new company filing has ...