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Add full medial tire graph generator and n=9 atlas

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Name A(T) the "annular cycle" (Thm 3.3, Def 3.4); clarify the bite-face
condition in Remark 3.8 to count down-tooth apexes interior to each face;
add the non-incidence stipulation for bite edges to Def 3.7.

Add an exhaustive generator over |A(T)| enforcing the 3.1-3.9 properties
(tooth word, non-crossing non-incident bites, >=3 up teeth, bite-face
condition), plus a plotting script and the n=9 atlas (81 dihedral classes).

Co-Authored-By: Claude Opus 4.8 <noreply@anthropic.com>
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didericis
2026-06-11 12:23:57 -04:00
parent 4062e87c61
commit 8cc94fb6b9
12 changed files with 1002 additions and 103 deletions
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papers/medial_tire_decompositions_of_plane_triangulations/paper.fls
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INPUT /Users/didericis/Code/math-research/papers/medial_tire_decompositions_of_plane_triangulations/paper.tex
INPUT paper.tex
OUTPUT paper.log
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INPUT /usr/local/texlive/2022/texmf-dist/tex/latex/amscls/amsart.cls