In this study we highlight the architecture (bauplan) of vertebrate and partly also of arthropod growth and form of behavior. We show in what sense behavior is an extension of anatomy. Then we show that movement-based behavior shares linearity and modularity with the skeletal body plan, and with the Hox genes (genes that specify regions of the body plan of an embryo); that it mirrors the geometry of the physical environment; and that it reveals the animal’s understanding of the animate and physical situation, with implications for perception, attention, emotion, and primordial cognition.First, as in comparative anatomy, we define the primitives of movement in relational terms. This yields homological primitives. Then we define the modules, the generative rules and the architectural plan of behavior in terms of these primitives. In this way we expose the homology of behaviors and establish a rigorous trans-phyletic comparative discipline of the morphogenesis of movement-based behavior. In morphogenesis, behavior builds up and narrows incessantly according to strict geometric rules. The same rules apply in moment to moment behavior, in ontogenesis, and partly also in phylogenesis. We demonstrate the rules in development, in neurological recovery, with drugs (dopamine-stimulated striatal modulation), in stressful situations, in locomotor behavior, and partly also in human pathology. The buildup of movement culminates in free, undistracted, exuberant behavior. It is observed in play, in superior animals during agonistic interactions, and in humans in higher states of functioning. Geometrization promotes the study of genetics, anatomy, and behavior within one and the same discipline. The geometrical bauplan portrays both already evolved dimensions, and prospective dimensional constraints on evolutionary behavioral innovations.