In
mathematics, a
3-sphere (also called a
glome) is a higher-dimensional analogue of a
sphere. It consists of the set of points equidistant from a fixed central point in 4-dimensional
Euclidean space. Just as an ordinary sphere (or 2-sphere) is a two-dimensional
surface that forms the boundary of a
ball in three dimensions, a 3-sphere is an object with three
dimensions that forms the boundary of a ball in four dimensions. A 3-sphere is an example of a
3-manifold.