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[figures] P10 capstone: five publication-quality figures - #315

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Paper 10 Capstone Figures

Five publication-quality figures for Paper 10 (Proc Roy Soc A capstone), implementing the thesis that geometry does three jobs: excitation filtering, spectral organisation, identifiability.

Figures

# Figure Description
1 \ig_three_jobs\ Triptych: (a) ^n$ filtering, (b) \$ vs eccentricity, (c) $\kappa$ vs $\varepsilon$
2 \ig_cross_application\ Parameter-space plot for 4 applications (abdomen, bladder, watermelon, borborygmi)
3 \ig_condition_landscape\ Oblate vs prolate $\kappa(\varepsilon)$ with fill-between showing oblate advantage
4 \ig_forward_neq_inverse\ Cautionary lemma: $\Delta f<10%$ but $\kappa_{\rm sphere}/\kappa_{\rm Ritz}\gg 1$
5 \ig_master_unification\ All 9 companion papers in eccentricity-condition space

Technical notes

  • All figures use canonical parameters (a=0.18m, c=0.12m, E=0.1 MPa, etc.)
  • JSV/Proc Roy Soc A style: serif fonts, 300 DPI, both PNG and PDF
  • Colorblind-friendly palette (Tol bright)
  • Generation script: \scripts/generate_p10_figures.py\

Co-authored-by: Copilot 223556219+Copilot@users.noreply.github.com

…ape, cross-application, forward!=inverse, master diagram

Five publication-quality figures for Paper 10 (Proc Roy Soc A capstone):

1. fig_three_jobs: Triptych showing excitation filtering ((ka)^n),
   spectral organisation (f_n vs eccentricity), and identifiability
   (kappa_Ritz~68 vs kappa_sphere~2e10).

2. fig_cross_application: Parameter-space plot (a vs c/a) plus
   frequency-range chart for abdomen, bladder, watermelon, borborygmi.

3. fig_condition_landscape: Oblate vs prolate kappa(epsilon) with
   fill-between highlighting the oblate advantage.

4. fig_forward_neq_inverse: Cautionary lemma -- small forward error
   (<10%) coexists with enormous conditioning gap (kappa ratio ~10^8).

5. fig_master_unification: All 9 companion papers mapped into
   eccentricity--condition-number space, colour-coded by geometric job.

Co-authored-by: Copilot <223556219+Copilot@users.noreply.github.com>
@JonathanMace
JonathanMace merged commit f246dd1 into main Mar 31, 2026
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JonathanMace deleted the p10-figures branch March 31, 2026 17:54
JonathanMace added a commit that referenced this pull request Mar 31, 2026
- P9: Major revision → Submission-ready (4 rounds Reviewer B, PR #318+#320)
- P10: Draft → Submission-ready (theorems PR #314, figures #315/#321, polish #317)

Co-authored-by: Copilot <223556219+Copilot@users.noreply.github.com>
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