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Cross-referenced against our prover orchestration layers: - Plan-Execute-Verify-Replan ↔ L0-L3 pipeline - Agents as specialists ↔ 11-agent swarm - Guardrails ↔ ProverWatchdog - Sandbox testing ↔ Virtual FPGA tests - Trajectory-aware eval ↔ BFS audit trail 5 gaps identified, 4 strengths confirmed
9 lines
895 B
Text
9 lines
895 B
Text
created: 20260507000000000
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modified: 20260507000000000
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tags: ResearchStack Lean Math Encoding Geometry
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title: Golden Angle Encoding
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type: text/vnd.tiddlywiki
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! Golden Angle Encoding
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Golden angle (φ ≈ 137.5°) encoding uses irrational rotations for non-repeating coordinate systems. Lean modules: `GoldenAngleEncoding.lean`, `GoldenSpiralManifold.lean`, `GoldenSpiralNavigation.lean`. The golden angle ensures that no two positions ever exactly repeat, providing optimal packing in angular coordinates — used by phyllotaxis (plant leaf arrangement) and the [[Gray-Code Golden-Spiral Fold]] for spiral-based compression. Python: `5-Applications/scripts/golden_spiral_navigation.py`. Connected to [[Phi Shell Encoding]] and [[Phinary Number System]] for φ-based mathematical representations. The golden spiral manifold provides dense traversal of 2D/3D coordinate spaces without collision.
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