docs: citation audit + correct 8 mis-citations; add Phases 12/13
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External reviewer pass over the literature references. Verified entries against arXiv/DOI/publisher and corrected misattributions that had propagated across the docs. Corrected citations (consistent across all docs): - Bowers-Bowers-Lutz 2026: title was the 2017 paper's -> "Rigidity of Koebe Polyhedra and Inversive Distance Circle Packings" - Liouville theorem: "Springborn 2019" -> Pinkall & Springborn, Geom. Dedicata 214 (2021) - Bobenko-Pinkall-Springborn: "G&T 14 (2010)" -> G&T 19(4) (2015), 2155-2215 - Optimal Cone Singularities: "Crane, Soliman, Ben-Chen, Schroeder" -> Soliman, Slepcev, Crane, ACM TOG 37(4) - Schlaefli formula: "Rivin, Springborn 1999" -> Rivin, Schlenker - Quasiconformal distortion: "Springborn, Veselov" -> Born, Buecking, Springborn (arXiv:1505.01341) - Period matrices: "Bobenko, Buecking 2009" (was Bobenko-Mercat-Schmies' title) -> Bobenko-Mercat-Schmies 2011 + genuine Bobenko-Buecking 2021 - Fabricated entry: "Alexa 2020, DOI 10.1145/3414685.3417840" pointed to an unrelated paper (Pixelor) -> Bunge, Herholz, Kazhdan, Botsch 2020 - Stripe Patterns: "Bonneel et al. 2015" -> Knoeppel, Crane, Pinkall, Schroeder 2015 Equation-number corrections (verified against the PDFs): - Glickenstein 2011 "eq. 4.6" -> "§5.2" (no such equation label exists) - Springborn 2020 "eq. 4.6" -> "§4 variational gradient" - inversive-distance attribution softened to classical inversive distance Other: - DBFEnergy bibliography (separate repo) and convergence half-sentence in novelty-statement.md §3.3 (Bobenko-Buecking 2021) - Status legend (implemented vs planned) at top of references.md - New Phase 12 (decorated DCE & geometric transition, Chain A, near-term) and Phase 13 (canonical tessellations & polyhedral realisation, Chain B capstone) in phases.md + research-track.md; 10c scope-boundary note clarifying infrastructure vs Lutz-specific algorithms Co-Authored-By: Claude Opus 4.8 <noreply@anthropic.com>
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@@ -46,12 +46,12 @@ research-only phases the reader can shape at design stage.
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| **Canonical Delaunay tessellations of decorated hyperbolic surfaces** (Lutz 2023, *Geom. Dedicata*; Lutz 2024 PhD thesis) | cut-graph + period matrix + hyperbolic-disk layout as scaffolding; canonical-tessellation algorithm itself outlined | **10c** planned |
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| **Hyperideal polyhedra rigidity** (Bowers–Bowers–Lutz 2026) | HyperIdeal functional + analytic Hessian derivation (805-line LaTeX note) | **9b-analytic** derived; **10c′** KAT planned |
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| **Optimal cone placement / non-Euclidean cone metrics** (Crane et al. 2018) | Cone-singularity port via `ConesUtility` scoped; the *non-Euclidean* extension is the research delta | **9d.1** port + **9d.2** RESEARCH |
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| **Polygon Laplacian on general meshes** (Alexa–Wardetzky 2011; Alexa 2020) | *no Java parent* — first phase a reviewer can shape at design stage | **9f** RESEARCH (planned) |
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| **Polygon Laplacian on general meshes** (Alexa–Wardetzky 2011; Bunge et al. 2020) | *no Java parent* — first phase a reviewer can shape at design stage | **9f** RESEARCH (planned) |
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| **Quasi-isothermic maps** (generalising conformality where exact conformality is impossible — Lawson-correspondence parameterisation) | scoped as a 6-class port (~800 lines) from the Java original: `QuasiisothermicLayout`, `DBFSolution` (discrete Beltrami field), `SinConditionApplication`, `QuasiisothermicDelaunay`, `QuasiisothermicUtility`, `ConformalStructureUtility` | **10e** planned |
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| **Higher-genus + hyperelliptic surfaces** (Bobenko–Bücking 2009 on polyhedral surfaces; period matrices with block-diagonal Z₂ structure) | port of `HyperellipticUtility` + `HyperIdealHyperellipticUtility` scoped; existing period-matrix code as scaffolding | **10b** planned |
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| **Higher-genus + hyperelliptic surfaces** (Bobenko–Mercat–Schmies 2011 / Bobenko–Bücking 2021 on polyhedral period matrices; block-diagonal Z₂ structure) | port of `HyperellipticUtility` + `HyperIdealHyperellipticUtility` scoped; existing period-matrix code as scaffolding | **10b** planned |
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| **Möbius centring for Poincaré-disk layouts** as a variational problem (Lorentz geometry: `E = Σ log(−⟨x,p⟩/√(−⟨x,x⟩))`) | currently we use iterative Fréchet mean in `normalise_hyperbolic()`; the principled variational alternative is scoped via the Java `MobiusCenteringFunctional` port (full gradient + Hessian) | **9d.4** planned |
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| **Boundary-First / interactive flattening** (Crane et al. 2017 BFF; Bonneel et al. 2015 *Stripe Patterns on Surfaces*) | not on the roadmap as ports; documented in [`references.md`](../math/references.md) as comparison points / inspiration for future API design | — |
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| **Schläfli-based variational machinery** (Rivin–Springborn 1999) | derivation done, implementation gated on your view of whether the ~6× speedup over our block-FD path matters at your mesh sizes | **9b-analytic** ready to implement |
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| **Boundary-First / interactive flattening** (Sawhney–Crane 2017 BFF; Knöppel–Crane–Pinkall–Schröder 2015 *Stripe Patterns on Surfaces*) | not on the roadmap as ports; documented in [`references.md`](../math/references.md) as comparison points / inspiration for future API design | — |
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| **Schläfli-based variational machinery** (Rivin–Schlenker 1999) | derivation done, implementation gated on your view of whether the ~6× speedup over our block-FD path matters at your mesh sizes | **9b-analytic** ready to implement |
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See [`doc/roadmap/phases.md`](../roadmap/phases.md) for the per-phase
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porting plan, [`doc/roadmap/research-track.md`](../roadmap/research-track.md)
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@@ -71,11 +71,12 @@ rationale).
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Tier-1/2. Decorated-DCE / canonical-tessellation / hyperideal line:
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Bobenko–Lutz 2024 IMRN; Bobenko–Lutz 2025 *DCG*; Lutz 2023
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*Geom. Dedicata*; Lutz 2024 PhD; Bowers–Bowers–Lutz 2026. Cones,
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polyhedra, period matrices: Crane et al. 2018; Springborn 2019
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(hyperbolic polyhedra); Bobenko–Bücking 2009; Rivin–Springborn 1999.
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Polygon Laplacians: Alexa–Wardetzky 2011; Alexa 2020. Integrable +
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practical-flattening context: Springborn–Veselov 2015 (cluster
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dynamics); Crane et al. 2017 (BFF); Bonneel et al. 2015 (Stripe
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polyhedra, period matrices: Soliman–Slepčev–Crane 2018; Pinkall–Springborn
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2021 (discrete Liouville); Bobenko–Mercat–Schmies 2011 / Bobenko–Bücking
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2021; Rivin–Schlenker 1999.
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Polygon Laplacians: Alexa–Wardetzky 2011; Bunge et al. 2020. Integrable +
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practical-flattening context: Born–Bücking–Springborn 2015 (quasiconformal
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distortion); Sawhney–Crane 2017 (BFF); Knöppel et al. 2015 (Stripe
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Patterns).
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- **Phase 9f** (polygon Laplacian on non-triangular meshes) added as
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RESEARCH-only — no Java parent — so you can influence its design
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