3-sphere two 3-balls. This construction is analogous to a construction of a 2-sphere, performed by gluing the boundaries of a pair of disks. A disk is a 2-ball, and the boundary of a disk is a circle (a 1-sphere). Let a pair of disks be of the same diameter. Superpose them and glue corresponding points on their boundaries. Again one may think of the third dimension as temperature. Likewise, we may inflate the 2-sphere, moving the pair of disks to become the northern and southern hemispheres. After removing a single point from the 2-sphere, what remains is homeomorphic to the Euclidean
Science On a Sphere Science On a Sphere Science On a Sphere (SOS) is a spherical projection system created by NOAA. It presents high-resolution video on a suspended globe rather than a flat screen, with the aim of better representing global phenomena. Animated images of atmospheric storms, climate change, and ocean temperature can be shown on the sphere to explain these complex environmental processes. SOS systems are most frequently installed in science museums, universities, zoos, and research institutions, although new and novel uses for these systems in a variety of presentation spaces and contexts are starting to emerge. The system has been installed in