The Geometry of the Sphere
by John C. Polking
Publisher: Rice University 2000
We are interested here in the geometry of an ordinary sphere. In plane geometry we study points, lines, triangles, polygons, etc. On the sphere we have points, but there are no straight lines. Therefore it is natural to use great circles as replacements for lines. Then we can talk about triangles and polygons and other geometrical objects.
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This volume includes articles exploring geometric arrangements, polytopes, packing, covering, discrete convexity, geometric algorithms and their complexity, and the combinatorial complexity of geometric objects, particularly in low dimension.
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