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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>