Ambrus G., Bárány I., Böröczky K.J., Fejes Tóth G., Pach J. (Eds.) New Trends in Intuitive Geometry

Springer-Verlag, 2018. — 460 p. — (Bolyai Society Mathematical Studies 27). — ISBN: 978-3-662-57412-6.This volume contains 17 surveys that cover many recent developments in Discrete Geometry and related fields. Besides presenting the state-of-the-art of classical research subjects like packing and covering, it also offers an introduction to new topological, algebraic and computational methods in this very active research field. The readers will find a variety of modern topics and many fascinating open problems that may serve as starting points for research.The Tensorization Trick in Convex Geometry
Contact Numbers for Sphere Packings
The Topological Transversal Tverberg Theorem Plus Constraints
On the Volume of Boolean Expressions of Balls – A Review of the Kneser–Poulsen Conjecture
A Survey of Elekes-Rónyai-Type Problems
The Geometry of Abrasion
Computing Upper Bounds for the Packing Density of Congruent Copies of a Convex Body
Two Geometrical Applications of the Semi-random Method
Erdős–Szekeres Theorems for Families of Convex Sets
Configuration Spaces of Equal Spheres Touching a Given Sphere: The Twelve Spheres Problem
Spaces of Convex n-Partitions
New Regular Compounds of 4-Polytopes
Five Essays on the Geometry of László Fejes Tóth
Flavors of Translative Coverings
Incidences Between Points and Lines in Three Dimensions
Incidence Bounds for Complex Algebraic Curves on Cartesian Products
Combinatorial Distance Geometry in Normed Spaces