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Purpose: The purpose of this paper is to develop a pertinent design optimization methodology for symmetric designs of a metamaterial (MM) unit. Design/methodology/approach: A cell division mechanism is introduced and used to design a new selecting mechanism in the proposed algorithm, a non-dominated sorting cellular genetic algorithm (NSCGA). Findings: The numerical results on solving standard multi-objective test functions and a prototype MM unit positively demonstrate the advantages of the proposed NSCGA. Originality/value: A new NSGAII-based optimization algorithm, NSCGA, for multi-objective optimization designs of a MM unit is proposed. [ABSTRACT FROM AUTHOR]