P. K. Agarwal and S. Har-Peled and K. R. VaradarajanImre BaranyAlexander Barvinok and Grigoriy BlekhermanSaugata Basu and Jacob E. Goodman and Andreas Holmsen and Richard PollackSaugata Basu and Richard Pollack and Marie-Francoise RoyMargaret M. BayerAndras BezdekKaroly Bezdek and Tibor Bisztriczky and Karoly BoroczkyAlexander BobenkoPeter BrassGruia Calinescu and Adrian DumitrescuErik D. Demaine and Joseph O'RourkeMike Develin and Francisco Santos and Bernd SturmfelsHerbert Edelsbrunner and Patrice KoehlRichard EhrenborgDavid EppsteinEva Maria FeichtnerGabor Fejes TothPeter Gritzmann and Thorsten TheobaldAladar Heppes and Wlodzimierz KuperbergMichael JoswigHagit LastYuanxin Liu and Jack SnoeyinkBernard Mourrain and Fabrice Rouillier and Marie-Francoise RoyNiranjan NilakantanJanos Pach and Rom PinchasiJorg RambauIstvan TalataCsaba D. TothGeza Toth and Pavel ValtrPavel ValtrSantosh Vempala

Preface	p. xi
Geometric Approximation via Coresets	p. 1
Applications of Graph and Hypergraph Theory in Geometry	p. 31
Convex Geometry of Orbits	p. 51
The Hadwiger Transversal Theorem for Pseudolines	p. 79
Betti Number Bounds, Applications and Algorithms	p. 87
Shelling and the h-Vector of the (Extra)ordinary Polytope	p. 97
On the Number of Mutually Touching Cylinders	p. 121
Edge-Antipodal 3-Polytopes	p. 129
A Conformal Energy for Simplicial Surfaces	p. 135
On the Size of Higher-Dimensional Triangulations	p. 147
The Carpenter's Ruler Folding Problem	p. 155
A Survey of Folding and Unfolding in Computational Geometry	p. 167
On the Rank of a Tropical Matrix	p. 213
The Geometry of Biomolecular Solvation	p. 243
Inequalities for Zonotopes	p. 277
Quasiconvex Programming	p. 287
De Concini-Procesi Wonderful Arrangement Models: A Discrete Geometer's Point of View	p. 333
Thinnest Covering of a Circle by Eight, Nine, or Ten Congruent Circles	p. 361
On the Complexity of Visibility Problems with Moving Viewpoints	p. 377
Cylindrical Partitions of Convex Bodies	p. 399
Tropical Halfspaces	p. 409
Two Proofs for Sylvester's Problem Using an Allowable Sequence of Permutations	p. 433
A Comparison of Five Implementations of 3D Delaunay Tessellation	p. 439
The Bernstein Basis and Real Root Isolation	p. 459
Extremal Problems Related to the Sylvester-Gallai Theorem	p. 479
A Long Noncrossing Path Among Disjoint Segments in the Plane	p. 495
On a Generalization of Schonhardt's Polyhedron	p. 501
On Hadwiger Numbers of Direct Products of Convex Bodies	p. 517
Binary Space Partitions: Recent Developments	p. 529
The Erdos-Szekeres Theorem: Upper Bounds and Related Results	p. 557
On the Pair-Crossing Number	p. 569
Geometric Random Walks: A Survey	p. 577