We demonstrate the use of an algorithm called the Flat Histogram sampling a
lgorithm for the simulation of two-dimensional lattice polymer systems. The
rmodynamic properties, such as the average energy or entropy and other phys
ical quantities such as the end-to-end distance or radius of gyration can b
e easily calculated using this method, The ground-state energy can also be
determined. We also explore the accuracy and limitations of this method.