From 9d7cb7644e4ff1a707ebcdce1a0a173f1aa41d36 Mon Sep 17 00:00:00 2001 From: didericis Date: Sun, 14 Jun 2026 23:55:00 -0400 Subject: [PATCH] Draw a medial tire cut from a random n=20 graph Add experiments/draw_medial_tire_cut.py, the paper-graphics companion that imports run_experiment and emits a TikZ panel (walk-depth labels + cut slits) per recognised tread via to_tikz. Add the resulting figure (Example 3.2, Figure 2): the single recognised tread T_2 of the medial tire decomposition of a random maximal planar graph on 20 vertices (seed 72), an 8-cycle piece with a bite, labelled and cut. Co-Authored-By: Claude Opus 4.8 --- .../experiments/draw_medial_tire_cut.py | 63 ++++++++++++++ papers/medial_tire_cuts/paper.aux | 5 +- papers/medial_tire_cuts/paper.log | 12 +-- papers/medial_tire_cuts/paper.pdf | Bin 176366 -> 180590 bytes papers/medial_tire_cuts/paper.tex | 78 ++++++++++++++++++ 5 files changed, 151 insertions(+), 7 deletions(-) create mode 100644 papers/medial_tire_cuts/experiments/draw_medial_tire_cut.py diff --git a/papers/medial_tire_cuts/experiments/draw_medial_tire_cut.py b/papers/medial_tire_cuts/experiments/draw_medial_tire_cut.py new file mode 100644 index 0000000..1feffba --- /dev/null +++ b/papers/medial_tire_cuts/experiments/draw_medial_tire_cut.py @@ -0,0 +1,63 @@ +"""Draw the walk-depth labelling and cut of a medial tire decomposition. + +Paper-graphics companion to ``run_medial_tire_cut_experiment.py``: it imports +``run_experiment`` from there, runs the pipeline on a random maximal planar +graph, and emits a TikZ ``tikzpicture`` (walk-depth labels + cut slits) for each +recognised full medial tire graph of the decomposition, using ``to_tikz`` from +``medial_tire_cut_labelling``. + +This script only renders; the experiment itself draws nothing. Run with the +repo venv (networkx): ``.venv/bin/python``. + +Example: + .venv/bin/python draw_medial_tire_cut.py -n 20 --seed 72 > panels.tex +""" + +from __future__ import annotations + +import argparse +import os +import sys + +_HERE = os.path.dirname(os.path.abspath(__file__)) +sys.path.insert(0, _HERE) + +from run_medial_tire_cut_experiment import run_experiment # noqa: E402 +from medial_tire_cut_labelling import to_tikz # noqa: E402 + + +def tikz_panels(n: int, seed: int, scale: float = 1.6) -> tuple[dict, list[str]]: + """Run the experiment and return ``(result, panels)``, one TikZ panel per + recognised tread, each showing that tread's walk-depth labelling and cut.""" + result = run_experiment(n=n, seed=seed) + panels = [] + for d in sorted(result["results"]): + rec = result["results"][d] + panels.append(to_tikz(rec["g"], depth=rec["depth"], cuts=rec["cuts"], + entry_edge=rec["entry_edge"], scale=scale)) + return result, panels + + +def main() -> None: + parser = argparse.ArgumentParser(description=__doc__, + formatter_class=argparse.RawDescriptionHelpFormatter) + parser.add_argument("-n", type=int, default=20) + parser.add_argument("--seed", type=int, default=72) + parser.add_argument("--scale", type=float, default=1.6) + args = parser.parse_args() + + result, panels = tikz_panels(args.n, args.seed, scale=args.scale) + treads = sorted(result["results"]) + print(f"% medial tire cut: n={args.n} seed={args.seed} " + f"source={result['source']} recognised treads={treads}") + if not panels: + print("% (no recognised full medial tire graphs for this graph)") + for d, panel in zip(treads, panels): + g = result["results"][d]["g"] + print(f"% --- tread {d}: |A(T)|={g.n} word={g.tooth_word} " + f"bites={sorted(g.bites)} ---") + print(panel) + + +if __name__ == "__main__": + main() diff --git a/papers/medial_tire_cuts/paper.aux b/papers/medial_tire_cuts/paper.aux index a51b9a6..55636d1 100644 --- a/papers/medial_tire_cuts/paper.aux +++ b/papers/medial_tire_cuts/paper.aux @@ -11,14 +11,17 @@ \newlabel{ex:worked-cut}{{2.3}{2}} \@writefile{toc}{\contentsline {section}{\tocsection {}{3}{Chaining across the tire tree}}{2}{}\protected@file@percent } \citation{bauerfeld-medial-tire} -\bibcite{bauerfeld-medial-tire}{1} \@writefile{lof}{\contentsline {figure}{\numberline {1}{\ignorespaces A full medial tire graph (left) and its walk-depth labelling and cut (right), from Example\nonbreakingspace 2.3\hbox {}. Black vertices are the annular medial vertices of the cycle $A(T)$; blue vertices are up-tooth apexes, red vertices are down-tooth apexes, and the larger red vertex is the shared apex of the bite on annular edges $0$ and $4$. On the right, each tooth carries its walk depth, and the two red slits mark the cuts: \emph {cut\nonbreakingspace 1} duplicates $a_5$ as the root-face traversal closes, and \emph {cut\nonbreakingspace 2} duplicates $a_1$ as the bite's inner-gap face closes. After the cuts the only bounded faces are the eight teeth.}}{3}{}\protected@file@percent } \newlabel{fig:worked-cut}{{1}{3}} \newlabel{rem:chaining-candidates}{{3.1}{3}} +\newlabel{ex:real-cut}{{3.2}{3}} +\bibcite{bauerfeld-medial-tire}{1} \newlabel{tocindent-1}{0pt} \newlabel{tocindent0}{12.7778pt} \newlabel{tocindent1}{17.77782pt} \newlabel{tocindent2}{0pt} \newlabel{tocindent3}{0pt} +\@writefile{lof}{\contentsline {figure}{\numberline {2}{\ignorespaces The recognised tread $T_2$ of the medial tire decomposition of a random maximal planar graph on $20$ vertices (Example\nonbreakingspace 3.2\hbox {}), with its walk-depth labelling and cut. Black vertices are the annular medial vertices of $A(T)$; blue vertices are up-tooth apexes and red vertices down-tooth apexes, the larger red vertex being the shared apex of the bite on annular edges $2$ and $5$. Each tooth carries its walk depth; the red slits are the two cuts.}}{4}{}\protected@file@percent } +\newlabel{fig:real-cut}{{2}{4}} \@writefile{toc}{\contentsline {section}{\tocsection {}{}{References}}{4}{}\protected@file@percent } \gdef \@abspage@last{4} diff --git a/papers/medial_tire_cuts/paper.log b/papers/medial_tire_cuts/paper.log index eaca148..5c08961 100644 --- a/papers/medial_tire_cuts/paper.log +++ b/papers/medial_tire_cuts/paper.log @@ -1,4 +1,4 @@ -This is pdfTeX, Version 3.141592653-2.6-1.40.24 (TeX Live 2022) (preloaded format=pdflatex 2022.10.5) 14 JUN 2026 23:46 +This is pdfTeX, Version 3.141592653-2.6-1.40.24 (TeX Live 2022) (preloaded format=pdflatex 2022.10.5) 14 JUN 2026 23:54 entering extended mode restricted \write18 enabled. %&-line parsing enabled. @@ -500,10 +500,10 @@ LaTeX Warning: `h' float specifier changed to `ht'. [2] [3] [4] (./paper.aux) ) Here is how much of TeX's memory you used: - 13648 strings out of 478268 - 272620 string characters out of 5846347 - 558283 words of memory out of 5000000 - 31477 multiletter control sequences out of 15000+600000 + 13652 strings out of 478268 + 272685 string characters out of 5846347 + 559301 words of memory out of 5000000 + 31481 multiletter control sequences out of 15000+600000 477049 words of font info for 58 fonts, out of 8000000 for 9000 1302 hyphenation exceptions out of 8191 84i,9n,89p,801b,704s stack positions out of 10000i,1000n,20000p,200000b,200000s @@ -521,7 +521,7 @@ msy10.pfb> -Output written on paper.pdf (4 pages, 176366 bytes). +Output written on paper.pdf (4 pages, 180590 bytes). 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