Averaged coordination numbers of planar aperiodic tilings

Details Averaged coordination numbers of planar aperiodic tilings Averaged coordination numbers of planar aperiodic tilings

2005-09-18

arxiv.org/abs/math-ph/0509038v1

Philosophical Magazine 86 (2006) 567-572

Physics

Mathematical Physics

6 pages

Scientific paper

10.1080/14786430500269022

We consider averaged shelling and coordination numbers of aperiodic tilings. Shelling numbers count the vertices on radial shells around a vertex. Coordination numbers, in turn, count the vertices on coordination shells of a vertex, defined via the graph distance given by the tiling. For the Ammann-Beenker tiling, we find that coordination shells consist of complete shelling orbits, which enables us to calculate averaged coordination numbers for rather large distances explicitly. The relation to topological invariants of tilings is briefly discussed.

Affiliated with

Also associated with

No associations

Rating

Averaged coordination numbers of planar aperiodic tilings does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Averaged coordination numbers of planar aperiodic tilings, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Averaged coordination numbers of planar aperiodic tilings will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-298401