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. Written using MathType, MS Word, Windows Paint, and MathType. If you need a correctly formatted study guide, email me proof of purchase to jrgeometry@yahoo.com and I'll email you a correctly formatted copy.
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