Designing the UI for a generative canvas of structure, symmetry, and scale
🎛️ Visualizer Overview
The PTS Visualizer will be the interactive canvas module that renders both:
- Structured 3×3 origin-based walks (low-rank, digits visible)
- High-rank fractal matrices (rank ≥6 rendered as pixel fields)
The user can zoom, scroll, animate, and toggle display modes that reveal latent harmonic structures.
🔧 UI Controls
Core Controls
- Matrix Rank (n): slider or input (1–8), defines 3ⁿ × 3ⁿ size
- PTS Source: dropdown to select scale (3PTS, 4PTS, etc)
- Base Grid: Lo Shu or Pythagorean
- Rendering Mode:
Grid
(1–3) → digit tablesTile
(4–5) → symbolic blocksCanvas
(6+) → pixel render
Visualization Mode
Choose one at a time:
- Digit Root Mapping (DRM)
- 3 → red
- 6 → green
- 9 → blue
- Others → gray/white
- Prime Highlight (PFP)
- Single prime selected (slider or dropdown)
- Cells with that prime = highlight color
- Prime Spectrum Composition (PSC)
- Hue = prime identity
- Brightness = exponent (log-scaled)
- Combined factors = blended hue
- Composite Density (Advanced)
- Brightness = number of prime factors (with multiplicity)
- High composite = brighter
- Walk Phase Animation
- Animate cells that form each toroidal walk (sequentially or by step phase)
Hover Tooltip
- Value
- Prime factorization
- Digit root
- Walk origin/direction (if applicable)
🧪 Behind the Scenes (Pluggable Modules)
Each cell:
- Is precomputed once per matrix
- Stores value, digit root, prime factor vector
- Encodes data as an object for rendering logic
Example:
{
value: 333,
root: 9,
factors: { 3: 2, 37: 1 },
walk: { origin: [2,1], direction: [-1,0] }
}
🌀 Future Additions
- Audio Mode: map walk values to tones
- Export Mode: save canvas as PNG, download JSON of matrix
- Custom Walk Editor: drag-path to define custom harmonics
- Tiling Explorer: see how subgrids mirror across the full field
🧭 First Module Recommendation
Start with:
- Rank = 3 (81×81 grid)
- Visualization = Digit Root Mapping
- Mode = Grid/Tile
- Animate by direction
Use this as an onboarding interface for seeing harmony emerge visually before diving into prime soup or full-rank canvas maps.
Don’t just analyze the grid — inhabit it.