Added the triangular model to my Ising simulation. The triangular model behave similar to the rectangular model in the ferromagnetic case but in the ant-ferromagnetic case it lacks a base state and continues to have large amounts of noise at arbitrarily low temperatures violating the third law! Video show the difference between the two antiferromagnetic models. The lack of a base state comes from the lack of a 2 - vertex coloring of the triangular graph.
Did you know you can extend the bifurcation diagram for the logistic map
f: z β az(1-z)
beyond a=4 by solving
f^n(z) = z
for various n. The full picture is that for a>4 you get a repelling Cantor set!
Current math phd student. Also likes games and working out.