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Discrete geometry : in honor of W. Kuperberg's 60th birthday

Author: W Kuperberg; András Bezdek
Publisher: New York : Marcel Dekker, ©2003.
Series: Monographs and textbooks in pure and applied mathematics, 253.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:
"Celebrating the work of Professor W. Kuperberg, this reference explores packing and covering theory, tilings, combinatorial and computational geometry, and convexity - featuring an extensive collection of problems compiled at the Discrete Geometry Special Session of the American Mathematical Society in New Orleans, Louisiana." "Offering research and contributions from more than 50 esteemed international  Read more...
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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: W Kuperberg; András Bezdek
ISBN: 0824709683 9780824709686
OCLC Number: 51768758
Description: xvii, 461 pages : illustrations ; 24 cm.
Contents: Biographical notes and work of W. Kuperberg / Andras Bezdek and Gabor Fejes Toth --
1. Transversal lines to lines and intervals / Jorge L. Arocha, Javier Bracho and Luis Montejano --
2. On a shortest path problem of G. Fejes Toth / Donald R. Baggett and Andras Bezdek --
3. short survey of (r, q)-structures / Vojtech Balint --
4. Lattice points on the boundary of the integer hull / Imre Barany and Karoly Boroczky, Jr. --
5. Erdos-Szekeres problem for planar points in arbitrary position / Tibor Bisztriczky and Gabor Fejes Toth --
6. Separation in totally-sewn 4-polytopes / Tibor Bisztriczky and Deborah Oliveros --
7. On a class of equifacetted polytopes / Gerd Blind and Roswitha Blind --
8. Chessboard Ramsey numbers / Jens-P. Bode, Heiko Harborth and Stefan Krause --
9. Maximal primitive fixing systems for convex figures / Vladimir Boltyanski and Hernan Gonzalez-Aguilar --
10. Newton-Gregory problem revisited / Karoly Boroczky --
11. Arrangements of 13 points on a sphere / Karoly Boroczky and Laszlo Szabo --
12. On point sets without k collinear points / Peter Brass --
13. Beckman-Quarles theorem for rational d-spaces, d even and d [greater than or equal to] 6 / Robert Connelly and Joseph Zaks --
14. Edge-antipodal convex polytopes --
a proof of Talata's conjecture / Balazs Csikos --
15. Single-split tilings of the sphere with right triangles / Robert J. MacG. Dawson --
16. Vertex-unfoldings of simplicial manifolds / Erik D. Demaine, David Eppstein, Jeff Erickson, George W. Hart and Joseph O'Rourke --
17. View-obstruction through trajectories of co-dimension three / Vishwa C. Dumir and Rajinder J. Hans-Gill --
18. Fat 4-polytopes and fatter 3-spheres / David Eppstein, Greg Kuperberg and Gunter M. Ziegler --
19. Arbitrarily large neighborly families of congruent symmetric convex 3-polytopes / Jeff Erickson and Scott Kim 20. On the non-solidity of some packings and coverings with circles / August Florian and Aladar Heppes --
21. On the mth Petty numbers of normed spaces / Karoly Bezdek, Marton Naszodi and Balazs Visy --
22. Cubic polyhedra / Chaim Goodman-Strauss and John M. Sullivan --
23. "New" uniform polyhedra / Branko Grunbaum --
24. On the existence of a convex polygon with a specified number of interior points / Kiyoshi Hosono, Gyula Karolyi and Masatsugu Urabe --
25. On-line 2-adic covering of the unit square by boxes / Janusz Januszewski and Marek Lassak --
26. example of a stable, even order quadrangle which is determined by its angle function / Janos Kincses --
27. Sets with a unique extension to a set of constant width / Marton Naszodi and Balazs Visy --
28. number of simplices embracing the origin / Janos Pach and Mario Szegedy --
29. Helly-type theorems on definite supporting lines for k-disjoint families of convex bodies in the plane / Sorin Revenko and Valeriu Soltan --
30. Combinatorial aperiodicity of polyhedral prototiles / Egon Schulte --
31. Sequences of smoothed polygons / G. C. Shephard --
32. On a packing inequality by Graham, Witsenhausen and Zassenhaus / Jorg M. Wills --
33. Covering a triangle with homothetic copies / Zoltan Furedi --
34. Open Problems / Andras Bezdek.
Series Title: Monographs and textbooks in pure and applied mathematics, 253.
Responsibility: edited by András Bezdek.
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Abstract:

Celebrating the work of Professor W Kuperberg, this reference explores packing and covering theory, tilings, combinatorial and computational geometry, and convexity, featuring a collection of  Read more...

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Offering research and contributions from more than 40 esteemed international authorities, Discrete Geometry is a fascinating collection for pure and applied mathematicians, geometers, topologists, Read more...

 
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