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Update WORK_LOG.md - document past 5 minutes: integer spiral packing, f(n) layout, Cartan floor, torus winding, fingerprint resolution, 43/43 tests
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WORK_LOG.md
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WORK_LOG.md
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@ -61,3 +61,52 @@ Standalone formula for the hardest Layer 3 conjecture: a Cartan connection of ty
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## Pre-2026-06-26
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## Pre-2026-06-26
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---
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## 2026-07-02
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### Integer Spiral Packing Fix
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**Status:** RESOLVED
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- Upstream rewrote phi_corkscrew_index: packed signed coefficients without offset encoding
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- Bug: Not injective ((-1,1) and (1,0) both give 1 in base 2)
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- Fixed in upstream
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- Added canonical corpus-wide version to spectral_codebook.py
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- Base: 328,469 / Offset: 164,234 recorded in JSON header
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- Unpack inverts exactly
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- Round-trip verified over all 250 matrices
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### f(n) Layout (Decorative) - NEW
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**Status:** IMPLEMENTED
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- Each entry gets radius_sq (= spiral index) and angle_frac
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- Computed in decimal (indices reach ~10^44 where float64 keeps zero fractional bits)
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- Verified against VERIFICATION_LOG V007: f(20121) reproduces (-137.80079576, -33.64432624)
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- Min angular separation: ≈ 4.6×10^-6 of a turn
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### Cartan Δ-Floor Enhancement
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**Status:** IMPLEMENTED
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- Upstream only had 1-D ρ-snapping
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- Added Fisher version on Δ_7 with Δ = 17/1792 exact (CartanConnection.lean:70)
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- 13 fingerprint pairs fall below Δ
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- Merging 196 fingerprints into 187 Δ-resolution codewords vs 9 gap-rule clusters
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- Both rules emitted side by side
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- **Caveat:** |c|/Σ|c| projection destroys sign/scale
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- This corpus has two distinct fingerprints at Fisher distance exactly 0
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- Fisher layer is similarity, not identity
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### Torus Winding Improvement
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**Status:** IMPLEMENTED
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- Upstream's _safe variant only detected saturation
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- TorusWinding now carries a_exact/b_exact (plain ℤ)
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- torus_to_spiral_index prefers them
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- Round trip lossless
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- Regression-tested at n = 10^9
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- **Note:** Lean mirror in BraidEigensolid.lean needs same widening (noted in docstring, Lean untouched)
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### Fingerprint Discrepancy Resolution
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**Status:** RESOLVED
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- 192-vs-196 fingerprint discrepancy was stale docstring
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- Both methods agree coefficient-for-coefficient on all 250 matrices (196 unique)
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- 43/43 tests pass (19 new)
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- Docs extended with exact-vs-decorative labels per layer
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