Chapman, S. J. and Lottes, J. and Trefethen, L. N. (2010) Four bugs on a rectangle. Proceedings of the Royal Society A . (Submitted)

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Abstract
The problem of four bugs in cyclic pursuit starting from a 2by1 rectangle is considered, and asymptotic formulas are derived to describe the motion. In contrast to the famous case of four bugs on a square, here the trajectories quickly freeze to essentially one dimension. After the first rotation about the centre point, the scale of the configuration has shrunk by a factor of 10^427907250, and this number is then exponentiated four more times with each successive cycle. Relations to Knuth’s doublearrow notation and levelindex arithmetic are discussed.
Item Type:  Article 

Subjects:  D  G > General 
Research Groups:  Oxford Centre for Collaborative Applied Mathematics 
ID Code:  1012 
Deposited By:  Peter Hudston 
Deposited On:  28 Oct 2010 13:35 
Last Modified:  29 May 2015 18:42 
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