1. In Euclidean-space, every ball is bounded by a hypersphere . 2. The hypersphere wraps around the landmass, trapping the Elsa in it. 3. The becomes an surface of a hypersphere passing through all such corners. 4. The intersection gives a submanifold of the hypersphere . 5. A hypersphere of energy erupted from the landmass. 6. Generating a hypersphere , the thief hides the Remnant in hyperspace and battles Stark. 7. Rush escapes death by vibrating, but the Hypersphere is partially destroyed by the attack. 8. It consists of elementary transformations that represent a generalized inversion into a four-dimensional hypersphere : 9. The magnitude of the unit quaternion will be unity, corresponding to a hypersphere of unit radius. 10. Using it as the definition, the volume of an-dimensional hypersphere of radius can be expressed as
