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In this paper, an energy efficient MAC protocol based on the finite projective plane (FPP) theory is proposed. Our protocol introduces an adaptive energy-efficient duty cycle for the sensor nodes to reduce the idle listening problem. By assigning each node with an FPP-set, we propose to decrease wake-up time and to determine the sleep or wake-up schedules based on the existing number of neighbors of a network coordinator. We have done rigorous simulation to analyze and compare the performance of our MAC protocol with some important and well known MAC protocols of wireless sensor. The simulation results show that our protocol outperforms over other MAC protocols in terms of energy consumption and end-to-end delay.