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 ...

Studying the cube in two dimensions provides a way to explore the infinite possibilities of this volume. The illustration ultimately invites the viewer to reconsider their understanding of this ...