This paper proposes an abstract and generic topological model that captures the essence of P2P architecture. Such model should in return facilitate the exploitation of the new design space for more novel P2P systems. The paper also proposes a variant of the cube-connected cycles as a P2P overlay network that achieves O(log N) path length with O(1) neighbors. The simulation result has shown that our system is no worse than other systems of the same complexity such as Viceroy and Koorde.