Hypersphere

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.