$100 gift certificate. Located just outside Mystic, CT, Octagon prides itself on offering the finest steaks and freshest seafood everyday. Our menu changes seasonally and celebrates local ingredients harvested right here in our beautiful state of Connecticut. To our pleasure, our guests are travelers from around the globe and neighborhood locals. From our open grill and wine cellar to our one of a kind artwork and glass sculptures, we truly believe dining should be an experience, not just a meal.