  We consider the inhomogeneous stochastic six vertex model with periodicity
starting from step initial data. We prove that it converges almost surely to a
deterministic limit shape. For the proof, we map the stochastic six vertex
model to a deformed version of the discrete Hammersley process. Then we
construct a colored version of the model and apply Liggett's superadditive
ergodic theorem. The construction of the colored model includes a new idea
using a Boolean-type product, which generalizes and simplifies the method used
in arXiv:2204.11158.
