Titlebook: Unsolved Problems in Geometry; Unsolved Problems in Hallard T. Croft,Kenneth J. Falconer,Richard K. Gu Book 1991 Springer Science+Business

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Polygons, Polyhedra, and Polytopes,worthy of particular study. Few can fail to appreciate the elegance and symmetry of polyhedral models. At the other extreme, deep and sophisticated mathematical techniques have been developed to explore their geometrical and combinatorial structure.

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Combinatorial Geometry,ated to Helly’s theorem, a result concerning the possible intersections among a collection of convex sets. This chapter also includes a number of problems on the placing of sets in the plane relative to the square lattice.

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General Geometric Problems,n study the geometry of much more general objects, for example, sets that are just closed or Lebesgue measurable, or even completely arbitrary. This chapter contains a selection of problems which, at least at first glance, are of such a general nature.

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