How can intention and decision-making be represented geometrically as structured transformations rather than abstract, discrete choices?

This line of inquiry explores geometric and spatial representations of intention, choice, and meaning as alternatives to purely symbolic or numerical models of cognition. Rather than treating decisions as isolated selections between options, the research investigates how decision-making can be understood as movement within structured spaces shaped by constraint, proximity, and transformation.

The focus is on the design and analysis of cognitive interfaces—broadly understood as representational systems that make structure perceptible and navigable. These may include geometric models, spatial diagrams, harmonic systems, or other formal constructions that externalise cognitive relations and enable orientation within complex decision environments.

The research examines how such representations support reasoning, interpretation, and action, particularly in contexts where traditional symbolic abstractions obscure structure rather than clarify it. The goal is not interface optimization, but conceptual investigation into how geometry can function as a medium for cognition and intentionality.