Introduction: geometry and applications of the spherical cube model -- Spherical cube representation of the structure of sleep-wake adaptability -- Taxonomy of chronotypes, trototypes and somnotypes: history and state of the art -- Three-dimensionality of the structure of sleep-wake adaptability -- Validation of the sleep-wake adaptability scales predicted by the spherical cube model -- Spherical cube representation of the structure of personality lexicon -- Taxonomy of personality traits and emotional states: history and state of the art -- Three-dimensionality of the cross-culturally universal structure of personality lexicon -- Evolutionary psychological perspectives on the spherical cube model of personality lexicon -- Conclusion: a general approach to uncovering spherical cube structures.