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Description
Task 1: Core Conceptual Introduction Series
Problem
No accessible entry point for learners new to resonance field concepts.
Implementation Plan
Create 4 foundational notebooks that introduce RFH3 concepts progressively:
Notebooks to Create:
-
01_core_concepts/01_introduction_to_resonance_fields.ipynb- Visual factorization comparison (traditional vs resonance field)
- Live demos with small numbers (15, 21, 35, 77)
- Field landscape metaphor with 3D plots
- Historical context and breakthrough insights
-
01_core_concepts/02_mathematical_foundations.ipynb- Unity resonance function derivation
- Phase coherence across prime moduli
- Harmonic convergence patterns
- Scale-invariant properties
-
01_core_concepts/03_from_brute_force_to_field_navigation.ipynb- Algorithm evolution demonstration
- Trial division limitations
- Resonance field advantages
- Adaptive navigation principles
-
01_core_concepts/04_the_adaptive_paradigm.ipynb- Multi-phase search strategies
- Pattern learning and zone prediction
- Hierarchical field exploration
- Performance scaling analysis
Key Interactive Elements
- Side-by-side factorization comparison widget
- 3D resonance field visualization with interactive controls
- Real-time parameter adjustment sliders
- Live performance metrics display
Acceptance Criteria
- No mathematical prerequisites beyond high school algebra
- Interactive demonstrations work in Google Colab
- Clear progression from intuitive concepts to technical details
- Learners can factor their first number using RFH3 concepts
- Visual analogies connect to familiar physical/mathematical phenomena
Dependencies
- Visualization infrastructure (Task 5)
- Basic pedagogical framework (Task 6)
Files to Create
notebooks/
├── 01_core_concepts/
│ ├── 01_introduction_to_resonance_fields.ipynb
│ ├── 02_mathematical_foundations.ipynb
│ ├── 03_from_brute_force_to_field_navigation.ipynb
│ └── 04_the_adaptive_paradigm.ipynb
└── shared/
└── utils/
└── intro_helpers.py