Geometry doesn't encode properties directly — it encodes frequency behavior, which produces properties. Every crystal structure is a circuit diagram written in geometric shapes.
The Alphabet
13 foundational shapes + 3 overtone geometries. Each shape has a unique signal type, a 7-dimensional fingerprint, and a specific frequency response that determines how energy concentrates, distributes, or transforms.
The Words
When two shapes connect — face-sharing, edge-sharing, or vertex-sharing — the combination produces a new signal type. Spinel is a gate. Perovskite is a switch. Diamond is an insulator. The connection geometry determines the function.
The Sentences
Three connected shapes form the minimum functional circuit. Capacitors, gates, filters, memory cells, and polarization rotators — all from geometry alone. Crystal structures read as complete circuit diagrams.
The outer shape defines the cavity. The cavity's standing wave patterns form a second geometry inside. That internal geometry — measured, not imposed — determines how the shape processes frequency. The frequency behavior produces the measurable material properties.