The ice model and the eight-vertex model on the two-dimensional Sierpinski gasket

► The numerical value of the entropy for the ice model on the 2D Sierpinski gasket is evaluated to high accuracy. ► The general upper and lower bounds for the ice model entropy on the generalized 2D Sierpinski gasket are conjectured. ► We obtain the number of configurations for the eight-vertex model and its generalization on the 2D Sierpinski gasket. ► The entropy per site for the eight-vertex model and its generalization is equal to 2(b+1)/(b+4)∗ln2.