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Recently, the 3-D object retrieval system attempts to integrate 2-D visual descriptors since some applications including e-shopping cannot employ 3-D object as a query. For an example, the multiple views have been developed in MPEG-7, but it cannot consider the spatial distribution of 3-D object and has heavy computational complexity because of the matching procedure in a combinatorial manner. In this paper, a novel descriptor for the 3-D object retrieval system, the regular polyhedral descriptor or regular polyhedron, is proposed. The proposed descriptor, which consists of the selection of equally distributed view positions and matching strategy using the regular polyhedron, is based on the multiple view, but it can improve the multiple view by using the property of the regular polyhedron. Experimental results show that the proposed descriptor has the retrieval performance comparable to the multiple views, in terms of the bull's eye performance (BEP) and average normalized modified retrieval rate (ANMRR).