Hotel in Stamford. Stamford boutique guestrooms with soaking bathtubs. The rooms come with a private bathroom, an iPod docking station and a flat-screen TV with cable channels. Some rooms at the Zero Degrees have a sofa bed.Guests at the Zero Degrees Downtown Stamford can use the business center and the fitness center with an indoor pool. The lobby has a seating area with a fireplace and a flat-screen TV.