it is the case of hard disks in two dimensions, that you have already studied last week.

Historically, this problem is associated with the development of the Monte Carlo method,

and Molecular Dynamics, and also

to the discovery that the two-dimensional continuum system

can turn solid.

How this takes place has remained controversial for many decades.

In this homework, you will follow in the footsteps of the pioneers in this field.

You will implement a Python program to simulate the transition.

from the liquid to a dense phase.

When this transition was discovered in 1962, people were skeptical

It had been believed for 30 years that no transition can take place

in a two-dimensional system which is continuous and has only local interactions.