Table of Contents

Musings on discrete geometry and ""20 years of discrete & computational geometry"" by B. Grunbaum State of the union (of geometric objects) by P. K. Agarwal, J. Pach, and M. Sharir Metric graph theory and geometry: A survey by H.-J. Bandelt and V. Chepoi Extremal problems for convex lattice polytopes: a survey by I. Barany On simple arrangements of lines and pseudo-lines in $mathbb{P}^2$ and $mathbb{R}^2$ with the maximum number of triangles by N. Bartholdi, J. Blanc, and S. Loisel The computational complexity of convex bodies by A. Barvinok and E. Veomett Algorithmic semi-algebraic geometry and topology--Recent progress and open problems by S. Basu Expansive motions by R. Connelly All polygons flip finitely...right? by E. D. Demaine, B. Gassend, J. O'Rourke, and G. T. Toussaint Persistent homology--a survey by H. Edelsbrunner and J. Harer Recent progress on line transversals to families of translated ovals by A. F. Holmsen An improved, simple construction of many halving edges by G. Nivasch Unfolding orthogonal polyhedra by J. O'Rourke The discharging method in combinatorial geometry and the Pach-Sharir conjecture by R. Radoicic and G. Toth Pseudo-triangulations--a survey by G. Rote, F. Santos, and I. Streinu Line problems in nonlinear computational geometry by F. Sottile and T. Theobald On empty hexagons by P. Valtr $k$-sets and $k$-facets by U. Wagner An Erdos-Szekeres type problem for interior points by X. Wei and R. Ding The kissing number, blocking number and covering number of a convex body by C. Zong Open problems by J. Pach.