The inside and outside of a hypersphere is geometrically described. When diameters move into geometric four-dimensional space, how is a hypersphere formed? Can dimensional cross-sections of a hypersphere be realized? How can the rotation of a hypersphere be descibed? What is the boundary of a hypersphere? Can the space contained by a hypersphere be described? How is the hypersphere boundary and contained space measured? Can a hypersphere be mathematically expressed? This study guide can help answer these questions. 37 solved problems.