From ec3406fb7ae7141b0b163f74f3b24620fb41342b Mon Sep 17 00:00:00 2001
From: Ian Jauslin <jauslin@ias.edu>
Date: Tue, 19 Sep 2017 16:14:31 +0000
Subject: Update to v0.1

Fixed: deleted erroneous reference to Kramers and Wannier.

Fixed: changed boundary conditions.

Fixed: definition of \mathbb S(X).

Fixed: miscellaneous minor tweaks, formatting and typos.

Added: informal description of Gaunt-Fisher configurations.

Changed: title.

Changed: reformulate main theorem.
---
 figs/assymmetry.fig/assymmetry1.tikz.tex          | 47 ++++++++++++--------
 figs/assymmetry.fig/assymmetry2.tikz.tex          | 32 +++++++++-----
 figs/contour_example.fig/contour_example.tikz.tex | 53 ++++++++++++-----------
 3 files changed, 79 insertions(+), 53 deletions(-)

(limited to 'figs')

diff --git a/figs/assymmetry.fig/assymmetry1.tikz.tex b/figs/assymmetry.fig/assymmetry1.tikz.tex
index 0819a91..1f3edb3 100644
--- a/figs/assymmetry.fig/assymmetry1.tikz.tex
+++ b/figs/assymmetry.fig/assymmetry1.tikz.tex
@@ -5,28 +5,41 @@
 
 \begin{document}
 \begin{tikzpicture}
-  \fill[color=lightgray](4.5,0.5)--++(1.0,0.0)--++(0.0,1.0)--++(2.0,0.0)--++(0.0,1.0)--++(2.0,0.0)--++(0.0,1.0)--++(2.0,0.0)--++(0.0,1.0)--++(1.0,0.0)--++(0.0,1.0)--++(-1.0,0.0)--++(0.0,2.0)--++(-1.0,0.0)--++(0.0,2.0)--++(-1.0,0.0)--++(0.0,2.0)--++(-1.0,0.0)--++(0.0,1.0)--++(-1.0,0.0)--++(0.0,-1.0)--++(-2.0,0.0)--++(0.0,-1.0)--++(-2.0,0.0)--++(0.0,-1.0)--++(-2.0,0.0)--++(0.0,-1.0)--++(-1.0,0.0)--++(0.0,-1.0)--++(1.0,0.0)--++(0.0,-2.0)--++(1.0,0.0)--++(0.0,-2.0)--++(1.0,0.0)--++(0.0,-2.0)--++(1.0,0.0)--cycle;
+  \fill[color=lightgray](4.5,0.5)--++(1,0)--++(0,1)--++(2,0)--++(0,1)--++(2,0)--++(0,1)--++(2,0)--++(0,1)--++(2,0)--++(0,1)--++(1,0)--++(0,1)--++(-1,0)--++(0,2)--++(-1,0)--++(0,2)--++(-1,0)--++(0,2)--++(-1,0)--++(0,2)--++(-1,0)--++(0,1)--++(-1,0)--++(0,-1)--++(-2,0)--++(0,-1)--++(-2,0)--++(0,-1)--++(-2,0)--++(0,-1)--++(-2,0)--++(0,-1)--++(-1,0)--++(0,-1)--++(1,0)--++(0,-2)--++(1,0)--++(0,-2)--++(1,0)--++(0,-2)--++(1,0)--++(0,-2)--++(1,0)--cycle;
 
   \begin{scope}
-    \clip(4.5,0.5)--++(1.0,0.0)--++(0.0,1.0)--++(2.0,0.0)--++(0.0,1.0)--++(2.0,0.0)--++(0.0,1.0)--++(2.0,0.0)--++(0.0,1.0)--++(1.0,0.0)--++(0.0,1.0)--++(-1.0,0.0)--++(0.0,2.0)--++(-1.0,0.0)--++(0.0,2.0)--++(-1.0,0.0)--++(0.0,2.0)--++(-1.0,0.0)--++(0.0,1.0)--++(-1.0,0.0)--++(0.0,-1.0)--++(-2.0,0.0)--++(0.0,-1.0)--++(-2.0,0.0)--++(0.0,-1.0)--++(-2.0,0.0)--++(0.0,-1.0)--++(-1.0,0.0)--++(0.0,-1.0)--++(1.0,0.0)--++(0.0,-2.0)--++(1.0,0.0)--++(0.0,-2.0)--++(1.0,0.0)--++(0.0,-2.0)--++(1.0,0.0)--cycle;
-    \grid{13}{13}{(0,0)}
+    \clip(4.5,0.5)--++(1,0)--++(0,1)--++(2,0)--++(0,1)--++(2,0)--++(0,1)--++(2,0)--++(0,1)--++(2,0)--++(0,1)--++(1,0)--++(0,1)--++(-1,0)--++(0,2)--++(-1,0)--++(0,2)--++(-1,0)--++(0,2)--++(-1,0)--++(0,2)--++(-1,0)--++(0,1)--++(-1,0)--++(0,-1)--++(-2,0)--++(0,-1)--++(-2,0)--++(0,-1)--++(-2,0)--++(0,-1)--++(-2,0)--++(0,-1)--++(-1,0)--++(0,-1)--++(1,0)--++(0,-2)--++(1,0)--++(0,-2)--++(1,0)--++(0,-2)--++(1,0)--++(0,-2)--++(1,0)--cycle;
+    \grid{15}{15}{(0,0)}
   \end{scope}
 
 
-  \cross{teal}{(5,2)}
-  \cross{teal}{(4,4)}
-  \cross{teal}{(3,6)}
-  \cross{teal}{(2,8)}
-  \cross{teal}{(7,3)}
-  \cross{teal}{(9,4)}
-  \cross{teal}{(11,5)}
-  \cross{teal}{(10,7)}
-  \cross{teal}{(9,9)}
-  \cross{teal}{(8,11)}
-  \cross{teal}{(6,10)}
-  \cross{teal}{(4,9)}
-
-  \draw[color=black,line width=6.0](4.5,0.5)--++(1.0,0.0)--++(0.0,1.0)--++(2.0,0.0)--++(0.0,1.0)--++(2.0,0.0)--++(0.0,1.0)--++(2.0,0.0)--++(0.0,1.0)--++(1.0,0.0)--++(0.0,1.0)--++(-1.0,0.0)--++(0.0,2.0)--++(-1.0,0.0)--++(0.0,2.0)--++(-1.0,0.0)--++(0.0,2.0)--++(-1.0,0.0)--++(0.0,1.0)--++(-1.0,0.0)--++(0.0,-1.0)--++(-2.0,0.0)--++(0.0,-1.0)--++(-2.0,0.0)--++(0.0,-1.0)--++(-2.0,0.0)--++(0.0,-1.0)--++(-1.0,0.0)--++(0.0,-1.0)--++(1.0,0.0)--++(0.0,-2.0)--++(1.0,0.0)--++(0.0,-2.0)--++(1.0,0.0)--++(0.0,-2.0)--++(1.0,0.0)--++(0.0,-1.1);
+  \foreach \k in {0,...,4}{
+    \cross{teal}{(5,2)++(2*\k,\k)}
+  }
+  \foreach \k in {1,...,4}{
+    \cross{teal}{(13,6)++(-1*\k,2*\k)}
+  }
+  \foreach \k in {1,...,4}{
+    \cross{teal}{(9,14)++(-2*\k,-\k)}
+  }
+  \foreach \k in {1,...,3}{
+    \cross{teal}{(1,10)++(\k,-2*\k)}
+  }
+
+  \foreach \k in {0,...,2}{
+    \cross{teal}{(6,5)++(2*\k,\k)}
+  }
+  \foreach \k in {1,...,2}{
+    \cross{teal}{(10,7)++(-1*\k,2*\k)}
+  }
+  \foreach \k in {1,...,2}{
+    \cross{teal}{(8,11)++(-2*\k,-\k)}
+  }
+  \foreach \k in {1,...,1}{
+    \cross{teal}{(4,9)++(\k,-2*\k)}
+  }
+
+  \draw[color=black,line width=6.0](4.5,0.5)--++(1,0)--++(0,1)--++(2,0)--++(0,1)--++(2,0)--++(0,1)--++(2,0)--++(0,1)--++(2,0)--++(0,1)--++(1,0)--++(0,1)--++(-1,0)--++(0,2)--++(-1,0)--++(0,2)--++(-1,0)--++(0,2)--++(-1,0)--++(0,2)--++(-1,0)--++(0,1)--++(-1,0)--++(0,-1)--++(-2,0)--++(0,-1)--++(-2,0)--++(0,-1)--++(-2,0)--++(0,-1)--++(-2,0)--++(0,-1)--++(-1,0)--++(0,-1)--++(1,0)--++(0,-2)--++(1,0)--++(0,-2)--++(1,0)--++(0,-2)--++(1,0)--++(0,-2)--++(1,0)--cycle;
 
 \end{tikzpicture}
 \end{document}
diff --git a/figs/assymmetry.fig/assymmetry2.tikz.tex b/figs/assymmetry.fig/assymmetry2.tikz.tex
index 9c92ed4..532fd55 100644
--- a/figs/assymmetry.fig/assymmetry2.tikz.tex
+++ b/figs/assymmetry.fig/assymmetry2.tikz.tex
@@ -5,25 +5,35 @@
 
 \begin{document}
 \begin{tikzpicture}
-  \fill[color=lightgray](4.5,0.5)--++(1.0,0.0)--++(0.0,1.0)--++(2.0,0.0)--++(0.0,1.0)--++(2.0,0.0)--++(0.0,1.0)--++(2.0,0.0)--++(0.0,1.0)--++(1.0,0.0)--++(0.0,1.0)--++(-1.0,0.0)--++(0.0,2.0)--++(-1.0,0.0)--++(0.0,2.0)--++(-1.0,0.0)--++(0.0,2.0)--++(-1.0,0.0)--++(0.0,1.0)--++(-1.0,0.0)--++(0.0,-1.0)--++(-2.0,0.0)--++(0.0,-1.0)--++(-2.0,0.0)--++(0.0,-1.0)--++(-2.0,0.0)--++(0.0,-1.0)--++(-1.0,0.0)--++(0.0,-1.0)--++(1.0,0.0)--++(0.0,-2.0)--++(1.0,0.0)--++(0.0,-2.0)--++(1.0,0.0)--++(0.0,-2.0)--++(1.0,0.0)--cycle;
+  \fill[color=lightgray](4.5,0.5)--++(1,0)--++(0,1)--++(2,0)--++(0,1)--++(2,0)--++(0,1)--++(2,0)--++(0,1)--++(2,0)--++(0,1)--++(1,0)--++(0,1)--++(-1,0)--++(0,2)--++(-1,0)--++(0,2)--++(-1,0)--++(0,2)--++(-1,0)--++(0,2)--++(-1,0)--++(0,1)--++(-1,0)--++(0,-1)--++(-2,0)--++(0,-1)--++(-2,0)--++(0,-1)--++(-2,0)--++(0,-1)--++(-2,0)--++(0,-1)--++(-1,0)--++(0,-1)--++(1,0)--++(0,-2)--++(1,0)--++(0,-2)--++(1,0)--++(0,-2)--++(1,0)--++(0,-2)--++(1,0)--cycle;
 
   \begin{scope}
-    \clip(4.5,0.5)--++(1.0,0.0)--++(0.0,1.0)--++(2.0,0.0)--++(0.0,1.0)--++(2.0,0.0)--++(0.0,1.0)--++(2.0,0.0)--++(0.0,1.0)--++(1.0,0.0)--++(0.0,1.0)--++(-1.0,0.0)--++(0.0,2.0)--++(-1.0,0.0)--++(0.0,2.0)--++(-1.0,0.0)--++(0.0,2.0)--++(-1.0,0.0)--++(0.0,1.0)--++(-1.0,0.0)--++(0.0,-1.0)--++(-2.0,0.0)--++(0.0,-1.0)--++(-2.0,0.0)--++(0.0,-1.0)--++(-2.0,0.0)--++(0.0,-1.0)--++(-1.0,0.0)--++(0.0,-1.0)--++(1.0,0.0)--++(0.0,-2.0)--++(1.0,0.0)--++(0.0,-2.0)--++(1.0,0.0)--++(0.0,-2.0)--++(1.0,0.0)--cycle;
-    \grid{13}{13}{(0,0)}
+    \clip(4.5,0.5)--++(1,0)--++(0,1)--++(2,0)--++(0,1)--++(2,0)--++(0,1)--++(2,0)--++(0,1)--++(2,0)--++(0,1)--++(1,0)--++(0,1)--++(-1,0)--++(0,2)--++(-1,0)--++(0,2)--++(-1,0)--++(0,2)--++(-1,0)--++(0,2)--++(-1,0)--++(0,1)--++(-1,0)--++(0,-1)--++(-2,0)--++(0,-1)--++(-2,0)--++(0,-1)--++(-2,0)--++(0,-1)--++(-2,0)--++(0,-1)--++(-1,0)--++(0,-1)--++(1,0)--++(0,-2)--++(1,0)--++(0,-2)--++(1,0)--++(0,-2)--++(1,0)--++(0,-2)--++(1,0)--cycle;
+    \grid{16}{16}{(-1,0)}
   \end{scope}
 
-
-  \cross{magenta}{(10, 9)}
-  \cross{magenta}{( 8,10)}
-  \cross{magenta}{( 6,11)}
-  \cross{magenta}{( 5, 9)}
-  \cross{magenta}{( 2, 8)}
-  \cross{magenta}{( 3, 5)}
   \cross{magenta}{( 4, 2)}
   \cross{magenta}{( 7, 3)}
   \cross{magenta}{(10, 4)}
+  \cross{magenta}{(13, 5)}
+  \cross{magenta}{(12, 8)}
+  \cross{magenta}{(11,11)}
+  \cross{magenta}{(10,14)}
+  \cross{magenta}{( 7,13)}
+  \cross{magenta}{( 4,12)}
+  \cross{magenta}{( 1,11)}
+  \cross{magenta}{( 2, 8)}
+  \cross{magenta}{( 3, 5)}
+
+  \cross{magenta}{( 5, 4)}
+  \cross{magenta}{( 8, 5)}
   \cross{magenta}{(11, 6)}
+  \cross{magenta}{(10, 9)}
+  \cross{magenta}{( 9,12)}
+  \cross{magenta}{( 6,11)}
+  \cross{magenta}{( 3,10)}
+  \cross{magenta}{( 4, 7)}
 
-  \draw[color=black,line width=6.0](4.5,0.5)--++(1.0,0.0)--++(0.0,1.0)--++(2.0,0.0)--++(0.0,1.0)--++(2.0,0.0)--++(0.0,1.0)--++(2.0,0.0)--++(0.0,1.0)--++(1.0,0.0)--++(0.0,1.0)--++(-1.0,0.0)--++(0.0,2.0)--++(-1.0,0.0)--++(0.0,2.0)--++(-1.0,0.0)--++(0.0,2.0)--++(-1.0,0.0)--++(0.0,1.0)--++(-1.0,0.0)--++(0.0,-1.0)--++(-2.0,0.0)--++(0.0,-1.0)--++(-2.0,0.0)--++(0.0,-1.0)--++(-2.0,0.0)--++(0.0,-1.0)--++(-1.0,0.0)--++(0.0,-1.0)--++(1.0,0.0)--++(0.0,-2.0)--++(1.0,0.0)--++(0.0,-2.0)--++(1.0,0.0)--++(0.0,-2.0)--++(1.0,0.0)--++(0.0,-1.1);
+  \draw[color=black,line width=6.0](4.5,0.5)--++(1,0)--++(0,1)--++(2,0)--++(0,1)--++(2,0)--++(0,1)--++(2,0)--++(0,1)--++(2,0)--++(0,1)--++(1,0)--++(0,1)--++(-1,0)--++(0,2)--++(-1,0)--++(0,2)--++(-1,0)--++(0,2)--++(-1,0)--++(0,2)--++(-1,0)--++(0,1)--++(-1,0)--++(0,-1)--++(-2,0)--++(0,-1)--++(-2,0)--++(0,-1)--++(-2,0)--++(0,-1)--++(-2,0)--++(0,-1)--++(-1,0)--++(0,-1)--++(1,0)--++(0,-2)--++(1,0)--++(0,-2)--++(1,0)--++(0,-2)--++(1,0)--++(0,-2)--++(1,0)--cycle;
 \end{tikzpicture}
 \end{document}
diff --git a/figs/contour_example.fig/contour_example.tikz.tex b/figs/contour_example.fig/contour_example.tikz.tex
index 3e6357b..6347300 100644
--- a/figs/contour_example.fig/contour_example.tikz.tex
+++ b/figs/contour_example.fig/contour_example.tikz.tex
@@ -32,44 +32,47 @@
   \square{black}{(9,6)}
   \square{black}{(8,7)}
 
-  \cross{cyan}{(13,6)}
-  \cross{red}{(12,8)}
-  \cross{cyan}{(11,10)}
-  \cross{cyan}{(10,12)}
-  \cross{red}{(15,7)}
-  \cross{red}{(17,8)}
-  \cross{cyan}{(19,9)}
-  \cross{red}{(18,11)}
-  \cross{red}{(17,13)}
-  \cross{cyan}{(16,15)}
-  \cross{red}{(14,14)}
+  \cross{cyan}{(15,7)}
+  \cross{red}{(14,9)}
+  \cross{cyan}{(13,11)}
   \cross{cyan}{(12,13)}
+  \cross{red}{(17,8)}
+  \cross{red}{(19,9)}
+  \cross{cyan}{(21,10)}
+  \cross{red}{(20,12)}
+  \cross{red}{(19,14)}
+  \cross{cyan}{(18,16)}
+  \cross{red}{(16,15)}
+  \cross{cyan}{(14,14)}
 
-  \cross{red}{(15,10)}
-  \cross{red}{(13,11)}
+  \cross{red}{(17,11)}
+  \cross{red}{(15,12)}
 
-  \square{black}{(14,8)}
-  \square{black}{(14,9)}
-  \square{black}{(13,9)}
   \square{black}{(16,9)}
-  \square{black}{(17,10)}
-  \square{black}{(16,11)}
-  \square{black}{(16,12)}
-  \square{black}{(15,12)}
-  \square{black}{(14,12)}
-  \square{black}{(15,13)}
+  \square{black}{(16,10)}
+  \square{black}{(15,10)}
+  \square{black}{(18,10)}
+  \square{black}{(19,11)}
+  \square{black}{(18,12)}
+  \square{black}{(18,13)}
+  \square{black}{(17,13)}
+  \square{black}{(16,13)}
+  \square{black}{(17,14)}
 
   \foreach \k in {0,...,5}{
     \cross{cyan}{(4,-1)++(\k*-1,\k*2)}
   }
-  \foreach \k in {1,...,9}{
+  \foreach \k in {1,...,10}{
     \cross{cyan}{(4,-1)++(\k*2,\k*1)}
   }
   \foreach \k in {1,...,5}{
-    \cross{cyan}{(22,8)++(\k*-1,\k*2)}
+    \cross{cyan}{(24,9)++(\k*-1,\k*2)}
   }
-  \foreach \k in {1,...,8}{
+  \foreach \k in {1,...,9}{
     \cross{cyan}{(-1,9)++(\k*2,\k*1)}
   }
+  \foreach \k in {1,...,4}{
+    \cross{cyan}{(14,4)++(\k*-1,\k*2)}
+  }
 \end{tikzpicture}
 \end{document}
-- 
cgit v1.2.3-54-g00ecf