Tag Archives: Convexity

Igor Pak’s “Lectures on Discrete and Polyhedral Geometry”

Posted on August 27, 2009 by Gil Kalai

Here is a link to Igor Pak’s  book on Discrete and Polyhedral Geometry  (free download) . And here is just the table of contents. It is a wonderful book, full of gems, contains original look on many important directions, things that … Continue reading →

Posted in Book review, Convex polytopes, Convexity | Tagged , , , | 4 Comments

Five Open Problems Regarding Convex Polytopes

Posted on May 7, 2008 by Gil Kalai

   The problems  1. The conjecture A centrally symmetric d-polytope has at least non empty faces. 2. The cube-simplex conjecture For every k there is f(k) so that every d-polytope with has a k-dimensional face which is either a simplex … Continue reading →

Posted in Combinatorics, Convex polytopes, Convexity, Open problems | Tagged , , , | 20 Comments