  The exoplanet field now abounds with new discoveries of planets and planetary
systems. It is of great interest for the scientific community to understand the
compositions and internal structures of these new planets outside our own solar
system, and then infer their formation scenarios. In particular, the proper
implementation of the equation-of-states of various matters into the
calculation of internal structure is crucial. Thus, we have come up with this
write-up that provides the detailed steps to turn an equation-of-state (EOS)
into a mass-radius relation of exoplanets, and highlight the physics and
chemistry involved in these calculations. It must be visualized!
