Take the tour ×  This is a (exploratory) computational project.
The soap froth was created by injecting bubbles into a chamber
formed by two rectangular plates which are 0.16cm. From the
moment the soap froth was created, a camera is employed to take
a snapshot of the froth every 10 minutes. The details of the
experiment can be found here:
http://link.aip.org/link/doi/10.1063/1.59943. I did not
participate in the experiment.  The data from the experiment
include, for each bubble on the froth in a particular snapshot,
area, perimeter, number of edges, the id of neighbors in unknown
order (every bubble has a unique id, but the id was not tracked
over time), lengths of edges in unknown order, xy coordinates of
the vertices in unknown order.  My task is to find a way to
calculate (or estimate) the change of Helmholtz free energy as a
function of time and hence also the change of entropy. The 1st
problem is how to calculate the internal energy of the soap
froth. An obvious part of the internal energy is the intern