Bond-node structures: rigidity, combinatorics and materials science

Wednesday 7th–Friday 9th June 2017

 

The analysis of the rigidity and flexibility of bond-node structures and skeletal frameworks may be traced back to Cauchy and Euler and their considerations of polyhedra with hinged faces. In more recent times bond-node frameworks have played a vital role in mathematical models for crystals and materials, with framework bars representing strong bonds between particular atoms or between rigid polyhedral units. In particular, material zeolites provide diverse periodic networks of corner-linked regular tetrahedra, with striking geometric and topological structure.

In various new directions for bond-node structures there is great potential for the enrichment of the mathematical models used in materials science. At the same time the computation of new invariants will benefit from the methodology of simulation and computation familiar to applied scientists.

 

In previous years, Lancaster's geometric rigidity group have had largely mathematical meetings. This year's meeting had an overtly applied flavour. We hoped the meeting would be of particular interest to the materials science community.

The workshop began after lunch on the Wednesday and finished on Friday afternoon. The location was the Postgraduate Statistics Centre and all the talks took place in the lecture theatre (room A54).

 Speakers:

We had 4 plenary talks given by:

These were complemented by a range of shorter talks.

 Participants:

 

Organisers: Derek Kitson, Tony Nixon, Steve Power (chair), Bernd Schulze

This meeting was supported by an EPSRC grant 'Infinite bond-node frameworks', a Scheme 1 grant from the London Mathematical Society and the Department of Mathematics and Statistics, Lancaster University.