hypersphere UK /ˈhaɪ.pəˌsfɪə/US /ˈhaɪ.pəˌsfɪɹ/ noun2 •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.To prove that the hypersphere is a manifold we wish to divide it into polyhedral solids. — 2014 •A zorb; the act of zorbing, entering a zorbing ball, strapping into a harness, and rolling down a hill. formshyperspheres