This work presents a geometric framework for cognition, centred on a conceptual polytope, the Polynon, to explore consciousness and its relationship with physical reality. Adopting an analytic idealist view, the Polynon posits consciousness as the foundational element of existence, preceding physical phenomena. A polynonial mechanism is introduced, offering a geometric and ontological interpretation of consciousness, where both reality and the observer unfold as holographic projections. This framework maps consciousness by analyzing epistemological interactions among phenomena (sensory experience), phantasiai (internal representations), and (...) noumena (underlying reality). Cognitive gravity and gradients provide metrics for cognitive dimensions, while a continuum of perceptual dimensions is proposed, with the wavefunction in superposition linking the observer’s cognition to hidden physical realities. This model connects cognition to reality’s structure, proposing a new mechanism for the observer’s measurement. (shrink)