3 Commits

Author SHA1 Message Date
didericis 8cc94fb6b9 Add full medial tire graph generator and n=9 atlas
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>
2026-06-11 12:23:57 -04:00
didericis 4062e87c61 Add figures, Kempe-cycle section, and restriction experiments
Adds two TikZ figures (boundary-state worst cases and annular cycle
counterexample), a new subsection on Kempe-cycle conservation across
medial tires, and the experiment scripts/findings for the medial tire
restriction search and annular cycle condition check.

Co-Authored-By: Claude Sonnet 4.6 <noreply@anthropic.com>
2026-06-11 01:16:05 -04:00
didericis 20fe6c24ca Add medial tire decomposition paper 2026-06-08 15:34:53 -04:00