Beta plots for low pressure range:

[cparts1]

Narrow fits and plot beta against lambda, alpha, and pin #

[andyletzhang]

Trying a few different cutoffs for low pressure; some of our data sets start breaking at lower pressure/r_s^2 values, but most of them still look okay at a point where we begin to see some interesting behavior. Unexpectedly, for low pressures, high pin numbers β starts pulling down again for square and random lattices:

This investigation will also be more comprehensive when we get lower pressure data.