hypersphere

Definition

The set of all points in a given hyperspace that are at a given distance from a given point; a generalization of a sphere in four or more dimensions.

Etymology

From hyper- + sphere.

Example Sentences

• "The timing and location of these battles have not been established. “Sphere” in this context is a hypersphere made up of complexes of two and three-D surfaces, or membranes, shortened in this translation to “branes,” extending into higher dimensions that combine vectors of transit, but also scalar tactical probabilities—a difficult concept to grasp, but essential to understanding Forerunner warfare."
• "To prove that the hypersphere is a manifold we wish to divide it into polyhedral solids."