Google Fiber announced Tuesday that the construction of its 5,700 mile fiber-optic, high-speed Internet and entertainment network is finally getting under way in the Triangle area. Erik Garr, the head of Google Fiber in the Triangle, said that their initial design is complete, including a detailed map of where to put the thousands of miles of fiber. “The Triangle’s city leaders have a vision for how gigabit connectivity can make the community stronger, and they’ve worked really closely with us to develop a clear plan for how to build Fiber throughout the area in a way that’s efficient and the least disruptive,” Garr said. Google has yet to say when construction will be complete, or how much residents will pay for the new Internet access.