Includes bibliographical references.

Musings on discrete geometry and "20 years of discrete & computational geometry" ; State of the union (of geometric objects) ; Metric graph theory and geometry: a survey ; Extremal problems for convex lattice polytopes: a survey ; On simple arrangements of lines and pseudolines in Bbb P^2 and Bbb R^2 with the maximum number of triangles ; The computational complexity of convex bodies ; Algorithmic semialgebraic geometry and topology recent progress and open problems ; Expansive motions ; All polygons flip finitely ldots right? ; Persistent homology a survey ; Recent progress on line transversals to families of translated ovals ; An improved, simple construction of many halving edges ; Unfolding orthogonal polyhedra ; The discharging method in combinatorial geometry and the PachSharir conjecture ; Pseudotriangulations a survey ; Line problems in nonlinear computational geometry ; On empty hexagons ; ets and acets ; An ErdosSzekeres type problem for interior points ; The kissing number, blocking number and covering number of a convex body ; Open problems Branko Grunbaum ; Pankaj K Agarwal Janos Pach and Micha Sharir ; HansJurgen Bandelt and Victor Chepoi ; Imre Barany ; Nicolas Bartholdi Jeremy Blanc and Sebastien Loisel ; Alexander Barvinok and Ellen Veomett ; Saugata Basu ; Robert Connelly ; Erik D Demaine Blaise Gassend Joseph O'Rourke and Godfried T Toussaint ; Herbert Edelsbrunner and John Harer ; Andreas F Holmsen ; Gabriel Nivasch ; Joseph O'Rourke ; Rados Radoicic and Geza Toth ; Gunter Rote Francisco Santos and Ileana Streinu ; Frank Sottile and Thorsten Theobald ; Pavel Valtr ; Uli Wagner ; Xianglin Wei and Ren Ding ; Chuanming Zong