Problems from CGCS Luminy, May 2007

Problems from CGCS

Most of these problems were presented at the conference on Combinatorics, Geometry and Computer Science, held at CIRM, Luminy, 2-4 May 2007. I have added one problem on a similar theme after the meeting. The problems have been arranged so that those with similar themes occur together as far as possible. 1. Nearly round polytopes Communicated by Komei Fukuda. We call a polytope centered if it co...

Open Problems from CCCG 2007

Imagine rolling a unit sphere on a plane without slipping or twisting, so that the point of contact follows a closed curve C. The south pole touches the plane at the start. What is the shortest length L = |C| that results in the north pole touching after one complete circuit of C? Figure 1 shows a curve achieving L = 3π. Also, C cannot be shorter than the geodesic distance between the poles: L ...

published May 5 , 2007

published May 17 , 2007

Newsletter 31 May 2007

In this paper, results are presented on asymmetric sloshing in partially filled circular cylinders subjected to horizontal, periodic forcing, as well as geyser formation and the subsequent axi-symmetric sloshing that is caused by a sudden change in Bond number. Asymmetric sloshing is controlled by three parameters that are the liquid depth parameter, the frequency offset (depending on forcing f...