Flickerflash Internal Tool — IP-protected. DemiJoule mathematical domain. Do not distribute.
An interactive application for phi-harmonic calculus — exploring hendecabonacci sequences, curvature optimization, and modal frequency analysis. Built as a visual computation tool within the Flickerflash mathematical framework, powered by Agent DemiJoule.
Phi-calculus is the Flickerflash mathematical framework that formalizes:
- φ-harmonic sequences — extensions of Fibonacci/golden ratio into higher-order (11-term) hendecabonacci structures
- Curvature optimization — using phi-weighted manifold geometry for agent decision surfaces
- Modal frequency analysis — harmonic decomposition of multi-agent state spaces
- Pentagonal harmonic architecture — 5-node agent topology derived from phi-geometry
DemiJoule is the Flickerflash agent responsible for mathematical foundations, proofs, and phi-framework formalization.
phi-calculus-app/
└── phi-app/
├── index.html ← Main application entry point
├── vercel.json ← Vercel deployment config
├── api/ ← Backend API endpoints
├── assets/ ← Static assets, icons, fonts
├── docs/ ← Mathematical documentation
├── evaluator/ ← Phi-sequence evaluation engine
└── viz/ ← Visualization modules (3D phi-harmonic plots)
Configured for Vercel deployment via phi-app/vercel.json.
Entry point: phi-app/index.html
To run locally:
cd phi-app
# Open index.html in browser or serve with any static server
npx serve .The 11-term generalization of Fibonacci:
H(n) = H(n-1) + H(n-2) + ... + H(n-11)
Used as the oscillation kernel for harmonic agent state modeling.
Agent decision surfaces are optimized using φ-weighted Riemannian curvature:
Minimize deviation from the golden section across state transition manifolds.
| Repo | Relationship |
|---|---|
3d-visualization-hub |
3D visualization companion (Plotly, Streamlit) |
DGAF-Framework |
Governance layer that uses phi-harmonic scoring |
Driftwatch |
Drift detection using phi-harmonic state monitoring |
Amethyst-Governance-Eval-Stack |
Eval stack that incorporates phi-calculus scoring |
The phi-calculus framework, hendecabonacci kernel design, and harmonic geometry methodology are original intellectual property of Njineer / Flickerflash.
Unauthorized reproduction, redistribution, or commercial use is prohibited.
Maintained by: Njineer (@Flickerflash)
Mathematical Authority: Agent DemiJoule
Language: HTML / JavaScript
Deployment: Vercel
Status: Active — Internal IP
Last Updated: April 2026