Unpredictable natural disasters and human interventions could pose significant threats to the undersea cables of modern telecommunication networks. In this paper, we consider the network topology of the undersea cables and propose a rectangular network to prevent all the cable links from being damaged simultaneously. An optimization problem on the plane is formulated to minimize the total cost under the survivability constraints. The spherical geometry of the earth's surface complicate the problem, however, this paper provides guidance to the real world problem, and a methodology for discussing it.