Unsolved Problems in GeometrySpringer-Verlag, 1991 - 198 pages For mathematicians or others who wish to keep up to date with the state of the art of geometrical problems, this collection of problems that are easy to state and understand but are as yet unsolved covers a wide variety of topics including convex sets, polyhedra, packing and covering, tiling, and combinatorial problems. Annotation copyrighted by Book News, Inc., Portland, OR. |
Table des matières
A Convexity | 6 |
B Polygons Polyhedra and Polytopes | 48 |
Tiling and Dissection | 79 |
Droits d'auteur | |
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Autres éditions - Tout afficher
Unsolved Problems in Geometry Hallard T. Croft,K. J. Falconer,Richard K. Guy Affichage d'extraits - 1991 |
Expressions et termes fréquents
3-dimensional Amer analogs asked ball Borsuk's conjecture boundary bounded Bull C. A. Rogers Cambridge Philos Canad centro-symmetric Chakerian chord combinatorial geometry configurations congruent copies conjecture constant width contains convex body convex hull convex polygon convex polyhedra convex sets Croft cube curve Danzer diameter dimensions Discrete Math disk dissection distance edges Eggleston Elem equidecomposable equilateral triangle Erdős Euclidean Euclidean space example faces Fejes Tóth Figure finite Geom given graphs Grünbaum Hadwiger hexagon Hungar inequalities integer intersection isoperimetric Klee Larman lattice points least length London Math Mathematical maximum minimal minimum Minkowski's theorem Monthly Moser n-gon Pach packing perimeter plane convex set plane set polyhedra polyhedron polyominoes polytopes possible problem Proc radius rectangle regular Reuleaux triangle Section set of points Shephard showed smallest sphere spherical square Steinhaus subset surface area symmetric tetrahedron theorem Theory tile the plane unit vertex vertices volume W. T. Tutte Z. A. Melzak