I am off to a workshop on this topic, in (hopefully, a bit sunny) Madrid: http://webpages.ull.es/users/gmcnet/GTMCR2010/Home.html.
Over the past few years, there has been a slow build up of interest in this topic. I am especially excited to see algorithmic versions of classical mathematical ideas slowly take shape – to the point where non-mathematicians can think about picking them up. I believe that some of these tools will play a key role in problems such as representation discovery in machine learning.
I will be giving a short communications talk on Tom Larkworthy and my work on motion planning for self-reconfigurable robots, visualized here: http://sites.google.com/site/tomlarkworthy/.