Draft quadrilateral sequencing section

Extend the deep embedding to include the outer face, decompose into
quadrilaterals via level-edge pairing on the sphere, and define a
deterministic sequence built from four moves (anchor drop, level add,
join, ring completion) with a recursive lex-smallest tiebreak on the
initial quadrilateral. Attempt the termination theorem and the per-move
case analyses.

Co-Authored-By: Claude Opus 4.7 <noreply@anthropic.com>

papers/plane_depth_sequencing/paper.aux

@@ -1,11 +0,0 @@
-\relax 
-\citation{baker1994}
-\@writefile{toc}{\contentsline {section}{\tocsection {}{1}{Definitions}}{1}{}\protected@file@percent }
-\bibcite{baker1994}{1}
-\newlabel{tocindent-1}{0pt}
-\newlabel{tocindent0}{12.7778pt}
-\newlabel{tocindent1}{17.77782pt}
-\newlabel{tocindent2}{0pt}
-\newlabel{tocindent3}{0pt}
-\@writefile{toc}{\contentsline {section}{\tocsection {}{}{References}}{2}{}\protected@file@percent }
-\gdef \@abspage@last{2}