Unsolved Problems in Geometry: Unsolved Problems in Intuitive Mathematics

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Springer Science & Business Media, Dec 6, 2012 - Mathematics - 199 pages
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Mathematicians and non-mathematicians alike have long been fascinated by geometrical problems, particularly those that are intuitive in the sense of being easy to state, perhaps with the aid of a simple diagram. Each section in the book describes a problem or a group of related problems. Usually the problems are capable of generalization of variation in many directions. The book can be appreciated at many levels and is intended for everyone from amateurs to research mathematicians.
 

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Contents

Geometrical transformations 3 Length area and volume
4
B Polygons Polyhedra and Polytopes
48
Tiling and Dissection
79
Packing and Covering
107
E Combinatorial Geometry
131
F Finite Sets of Points
149
G General Geometric Problems
168
sets of a given area 182 G14 Sets containing large triangles
182
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