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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@@ -250,16 +250,16 @@ per-phase entry in <code>doc/roadmap/</code>.</p>
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<tr><td>Quasi-isothermic maps (Lawson correspondence, ~800 lines, discrete Beltrami-field solver)</td>
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<td>scoped as a 6-class Java port: <code>QuasiisothermicLayout</code>, <code>DBFSolution</code>, <code>SinConditionApplication</code>, <code>QuasiisothermicDelaunay</code>, <code>QuasiisothermicUtility</code>, <code>ConformalStructureUtility</code></td>
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<td><span class="pill new">10e</span> planned</td></tr>
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<tr><td>Higher-genus + hyperelliptic surfaces (Bobenko–Bücking 2009; block-diagonal period matrices with Z₂ symmetry)</td>
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<tr><td>Higher-genus + hyperelliptic surfaces (Bobenko–Mercat–Schmies 2011 / Bobenko–Bücking 2021 period matrices; block-diagonal Z₂ symmetry)</td>
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<td>port of <code>HyperellipticUtility</code> + <code>HyperIdealHyperellipticUtility</code> scoped; existing period-matrix code as scaffolding</td>
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<td><span class="pill new">10b</span> planned</td></tr>
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<tr><td>Möbius centring as a variational problem (Lorentz energy, full gradient + Hessian)</td>
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<td>currently iterative Fréchet mean in <code>normalise_hyperbolic()</code>; the principled variational alternative is scoped via the Java <code>MobiusCenteringFunctional</code> port</td>
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<td><span class="pill new">9d.4</span> planned</td></tr>
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<tr><td>Boundary-First / interactive flattening (Crane et al. 2017 BFF; Bonneel et al. 2015 <i>Stripe Patterns</i>)</td>
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<tr><td>Boundary-First / interactive flattening (Sawhney–Crane 2017 BFF; Knöppel–Crane–Pinkall–Schröder 2015 <i>Stripe Patterns</i>)</td>
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<td>not on the roadmap as ports; documented in <code>references.md</code> as comparison points / inspiration</td>
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<td>—</td></tr>
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<tr><td>Schläfli-based variational machinery (Rivin–Springborn 1999)</td>
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<tr><td>Schläfli-based variational machinery (Rivin–Schlenker 1999)</td>
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<td>derivation done; implementation gated on the reader's view of whether the ~6× speedup over our block-FD path matters at their mesh sizes</td>
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<td><span class="pill new">9b-analytic</span> ready</td></tr>
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</tbody>
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@@ -320,15 +320,16 @@ sufficient answer.</p>
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Decorated-DCE / canonical-tessellation / hyperideal line:
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Bobenko–Lutz 2024 IMRN; Bobenko–Lutz 2025 <i>DCG</i>; Lutz 2023
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<i>Geom. Dedicata</i>; Lutz 2024 PhD; Bowers–Bowers–Lutz 2026.
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Cones, polyhedra, period matrices: Crane et al. 2018;
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Springborn 2019; Bobenko–Bücking 2009; Rivin–Springborn 1999.
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Polygon Laplacians: Alexa–Wardetzky 2011; Alexa 2020. Integrable
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and practical-flattening context: Springborn–Veselov 2015;
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Crane et al. 2017 (BFF); Bonneel et al. 2015 (Stripe Patterns).
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Cones, polyhedra, period matrices: Soliman–Slepčev–Crane 2018;
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Pinkall–Springborn 2021 (discrete Liouville); Bobenko–Mercat–Schmies
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2011 / Bobenko–Bücking 2021; Rivin–Schlenker 1999.
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Polygon Laplacians: Alexa–Wardetzky 2011; Bunge et al. 2020. Integrable
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and practical-flattening context: Born–Bücking–Springborn 2015;
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Sawhney–Crane 2017 (BFF); Knöppel et al. 2015 (Stripe Patterns).
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</li>
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<li><span class="pill research">+1 RESEARCH phase</span> with no Java
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parent — Phase 9f (polygon Laplacian on non-triangular meshes,
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Alexa-Wardetzky 2011 / Alexa 2020) — the first phase a reviewer
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Alexa-Wardetzky 2011 / Bunge et al. 2020) — the first phase a reviewer
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can shape at design stage.</li>
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<li><span class="pill new">output_uv_map</span> now covers 4 of 5 DCE
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solvers (Inversive-Distance added; CP-Euclidean deferred to
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@@ -427,9 +428,9 @@ folder for the per-document table.</p>
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<table>
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<tr><th>Document</th><th>What it covers</th></tr>
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<tr><td><a href="https://codeberg.org/TMoussa/ConformalLabpp/src/branch/main/doc/math/references.md"><code>references.md</code></a> <span class="pill new">+13 refs</span></td>
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<td>Per-phase literature index. 13 new citations added: decorated DCE in non-Euclidean geometries (Bobenko–Lutz 2025); canonical tessellations (Lutz 2023 / 2024); hyperideal polyhedra rigidity (Bowers–Bowers–Lutz 2026); polygon Laplacians (Alexa–Wardetzky 2011 / Alexa 2020); optimal cone placement (Crane et al. 2018); Schläfli identity (Rivin–Springborn 1999); hyperbolic polyhedra (Springborn 2019); polyhedral period matrices (Bobenko–Bücking 2009); integrable cluster dynamics (Springborn–Veselov 2015); BFF (Crane et al. 2017); stripe patterns (Bonneel et al. 2015).</td></tr>
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<td>Per-phase literature index. 13 new citations added: decorated DCE in non-Euclidean geometries (Bobenko–Lutz 2025); canonical tessellations (Lutz 2023 / 2024); hyperideal polyhedra rigidity (Bowers–Bowers–Lutz 2026); polygon Laplacians (Alexa–Wardetzky 2011 / Bunge et al. 2020); optimal cone placement (Soliman–Slepčev–Crane 2018); Schläfli identity (Rivin–Schlenker 1999); discrete Liouville theorem (Pinkall–Springborn 2021); polyhedral period matrices (Bobenko–Mercat–Schmies 2011 / Bobenko–Bücking 2021); quasiconformal distortion (Born–Bücking–Springborn 2015); BFF (Sawhney–Crane 2017); stripe patterns (Knöppel–Crane–Pinkall–Schröder 2015).</td></tr>
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<tr><td><a href="https://codeberg.org/TMoussa/ConformalLabpp/src/branch/main/doc/math/hyperideal-hessian-derivation.md"><code>hyperideal-hessian-derivation.md</code></a></td>
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<td>Full LaTeX-formatted derivation of the analytic HyperIdeal Hessian via the Schläfli identity (805 lines, 8 sections + 2 appendices). Cited sources: Schläfli 1858, Milnor 1982, Vinberg 1993, Cho–Kim 1999, Glickenstein 2011, Rivin–Springborn 1999, Springborn 2020.</td></tr>
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<td>Full LaTeX-formatted derivation of the analytic HyperIdeal Hessian via the Schläfli identity (805 lines, 8 sections + 2 appendices). Cited sources: Schläfli 1858, Milnor 1982, Vinberg 1993, Cho–Kim 1999, Glickenstein 2011, Rivin–Schlenker 1999, Springborn 2020.</td></tr>
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</table>
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</details>
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