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An emerging focus on the geometry of representational structures is advancing a variety of areas in social perception, including social categorization, emotion perception, and trait impressions. Here, we review recent studies adopting a representational geometry approach, and argue that important advances in social perception can be gained by triangulating on the structure of representations via three levels of analysis: neuroimaging, behavioral measures, and computational modeling. Among other uses, this approach permits broad and comprehensive tests of how bottom-up facial features and visual processes as well as top-down social cognitive factors and conceptual processes shape perceptions of social categories, emotion, and personality traits. Although such work is only in its infancy, a focus on corroborating representational geometry across modalities is allowing researchers to use multiple levels of …