The stations are connected with each other and with the headquarters by telegraph. The telegraph system has been so perfected that by means of a set of numbers struck on a bell, each of which refers to a corresponding number in the book of signals, questions are asked and answered, and messages sent from station to station with the greatest rapidity. The Headquarters of the Police Force are located in a handsome building, five stories high, known as No. 300 Mulberry street. The building extends through to Mott street, in the rear. It is situated on the easterly side of Mulberry street, between Bleecker and Houston streets. It is ninety feet in width. The Mulberry street front is of white marble, and the Mott street front is of pressed brick, with white marble trimmings. It is fitted up with great taste, and every convenience and comfort is provided for the members of the force on duty here. The greatest order is manifest. Everything and every man has a place, and must be in it at the proper times. There is no confusion. Each department has its separate quarters. The Superintendent's office is connected by telegraph with every precinct in the city. By means of this wonderful invention, the Superintendent can communicate instantly with any point in the city. The news of a robbery or burglary is flashed all over New York and the adjoining country before a man has fairly secured his plunder. If a child is lost, all the precincts are furnished immediately with an accurate description of it, and the whole force is on the lookout for the little wanderer, and in a marvellously quick time it is restored to its mother's arms. By means of his telegraph, the Superintendent can track a criminal, not only all over the city, but all over the civilized world, and that without leaving his office. One of the most interesting rooms in the headquarters is that for the trial of complaints against members of the force. Every charge must be sworn to. It is then brought before the Commissioners, or rather before one who is appointed by the Board to hear such complaints. He notifies the accused to appear before him to answer to the charge. Except in very grave cases the men employ no counsel. The charge is read, the Commissioner hears the statements of the accused, and the evidence on both sides, and renders his decision, which must be ratified by the full "Board." The majority of the charges are for breaches of discipline. A Patrolman leaves his beat for a cup of coffee on a cold morning, or night, or reads a newspaper, or smokes, or stops to converse while on duty. The punishment for these offences is a stoppage of pay for a day or two. First offences are usually forgiven. Many well-meaning but officious citizens enter complaints against the men. They are generally frivolous, but are heard patiently, and are dismissed with a warning to the accused to avoid giving cause for complaint.