| 1 | -- | 0 | Tibor Bisztriczky, Ferenc Fodor, Wlodzimierz Kuperberg. Foreword |
| 3 | -- | 0 | Robert Connelly. Dedication |
| 5 | -- | 13 | Ted Bisztriczky, Egon Schulte, Asia Ivic Weiss. Convex and Abstract Polytopes (Thursday, May 19, 2005 to Sunday, May 22, 2005) |
| 15 | -- | 25 | Balázs Csikós, Ferenc Fodor, Deborah Oliveros. Calgary Workshop in Discrete Geometry (Friday, May 13, 2005 to Saturday, May 14, 2005) |
| 27 | -- | 44 | Gergely Ambrus, András Bezdek. On iterative processes generating dense point sets |
| 45 | -- | 58 | Gergely Ambrus, Ferenc Fodor. A new lower bound on the surface area of a Voronoi polyhedron |
| 59 | -- | 69 | Károly Bezdek. The illumination conjecture and its extensions |
| 71 | -- | 82 | Károly Bezdek, Károly Böröczky, György Kiss. On the successive illumination parameters of convex bodies |
| 83 | -- | 102 | Károly Böröczky, Károly Böröczky Jr., Gergely Wintsche. Typical faces of extremal polytopes with respect to a thin three-dimensional shell |
| 103 | -- | 113 | Károly Böröczky Jr., Ildikó Fábián, Gergely Wintsche. Covering the crosspolytope by equal balls |
| 115 | -- | 120 | Javier Bracho, Ricardo Strausz. Two geometric representation theorems for separoids |
| 121 | -- | 131 | Balázs Csikós, Zsolt Lángi, Márton Naszódi. A generalization of the Discrete Isoperimetric Inequality for Piecewise Smooth Curves of Constant Geodesic Curvature |
| 133 | -- | 148 | Noam D. Elkies. On some points-and-lines problems and configurations |
| 149 | -- | 156 | Michael I. Hartley. An Atlas of Small Regular Abstract Polytopes |
| 157 | -- | 168 | A. Heppes. Covering a planar domain with sets of small diameter |
| 169 | -- | 184 | Dan Ismailescu, Jacqueline Jacobs. On Sequences of Nested Triangles |
| 185 | -- | 197 | Horst Martini, Zokhrab Mustafaev. Some applications of cross-section measures in Minkowski spaces |
| 199 | -- | 208 | Horst Martini, Margarita Spirova. On Napoleon's theorem in the isotropic plane |
| 209 | -- | 225 | Oleg R. Musin. The one-sided kissing number in four dimensions |
| 227 | -- | 230 | Márton Naszódi. On a conjecture of Károly Bezdek and János Pach |
| 231 | -- | 255 | Egon Schulte, Asia Ivic Weiss. Problems on polytopes, their groups, and realizations |
| 257 | -- | 264 | Achill Schürmann. Instability of discrete point sets |