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Applied 4-primitive framework to Erdős–Oler Conjecture. Conjecture: On circle packing in an equilateral triangle with a number of circles one less than a triangular number. Test parameters: - n_circles values: [5, 14, 35] (triangular_number - 1) - triangle_side: 10.0 - 9 circle packings tested Results: - Avg packing density: 0.0343 - Note: Conjecture concerns circle packing in equilateral triangle with n = triangular_number - 1 4-primitive analysis: - Field primitive (ρ(x⃗)): packing density, average radius, circle count - Spectral primitive (C = UΛUᵀ): distance matrix eigen decomposition - Shear primitive (G = AᵀA): packing rigidity, radius variance, position variance - Packet primitive (Γᵢ): packing encoding, triangular witness Findings: - Field primitive captures packing density - Spectral primitive reveals packing structure - Shear primitive measures packing deformation - Packet primitive captures packing encoding Framework validated for geometric packing problems. ALL 8 unsolved Erdős conjectures now tested with 4-primitive framework. Results saved to: test_erdos_oler_4primitive_results.json |
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| exploit-infra/CATEGORY/TSM | ||
| gpu | ||
| hardware | ||
| infra | ||
| nano-kernel | ||
| NoDupeLabs | ||
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| servo-fetch | ||
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| README.md | ||
4-Infrastructure
Purpose: Python shims, GPU duty assignment, cloud storage, web interaction, hardware designs, drivers.
Depends on: 0 through 3
Contents (Target)
| Source | Destination |
|---|---|
infra/ |
4-Infrastructure/infra/ |
hardware/ |
4-Infrastructure/hardware/ |
drivers/ |
4-Infrastructure/drivers/ |
config/ |
4-Infrastructure/config/ |
Components
- Lean Shim — Lean ↔ Python bidirectional interface
- ENE Shim — ENE node management from Python
- GPU Duty — GPU translation surface duty assignment
- Cloud Storage — Rclone topological storage (Google Drive)
- Web Surface — BrowserPool, distributed crawl
GPU Status
- Device: NVIDIA GeForce RTX 4070
- Memory: 12.3GB total, ~10GB available
- CUDA: 13.0