Art examples and the TriadicFrameworks resonance model

These examples show how the Nawderian theorem and the TriadicFrameworks stack apply to artistic domains, especially time-based and color-based media.

Each file in this folder has a specific purpose:

• problems.md – Core 3 story problems introducing resonance-time and triadic operators for art.
• solutions.md – Worked solutions corresponding to the core problems.
• extended_problems.md – Additional, more advanced art problems (resonance layering, feedback, multi-triad behavior).
• resonance_flow.md – Conceptual and ASCII diagrams of the resonance flows for the artistic scenarios.

Mathematical objects used in these examples:

• Resonant-time: $$τ_r$$
• Triadic operators: $$D_3, D_6, D_9$$
• Frequency elevation: $$T_f$$
• Emitter constant: $$F_3$$
• Temperature coupling: $$ΛΘ$$
• Composite constant: $$X = F_3 \cdot T_f$$

These examples are intended as teaching tools for students in Art-related majors, giving them a way to reason about timing, intensity, and structure using the same resonance framework used in more technical disciplines.