diff options
author | Ian Jauslin <jauslin@ias.edu> | 2017-09-19 16:14:31 +0000 |
---|---|---|
committer | Ian Jauslin <jauslin@ias.edu> | 2017-09-21 19:25:55 +0000 |
commit | ec3406fb7ae7141b0b163f74f3b24620fb41342b (patch) | |
tree | 4ff540c89cdea2cca002fda4057188fb69ec01ea /figs | |
parent | dfe8ce959045f414cb717b1737731964f89d02aa (diff) |
Update to v0.1v0.1
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.
Diffstat (limited to 'figs')
-rw-r--r-- | figs/assymmetry.fig/assymmetry1.tikz.tex | 47 | ||||
-rw-r--r-- | figs/assymmetry.fig/assymmetry2.tikz.tex | 32 | ||||
-rw-r--r-- | figs/contour_example.fig/contour_example.tikz.tex | 53 |
3 files changed, 79 insertions, 53 deletions
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} |