<filename>portraits/8T47-[6,6,4]-62-32111-422-g0-a.tex
\documentclass{article}
\usepackage{pstricks}
\usepackage{auto-pst-pdf}
\usepackage{booktabs}
\begin{document}
\begin{center}
\psset{unit=7cm}
\begin{pspicture}(-1,-1)(1,1)
\pscircle[linewidth=.001pt](0,0){1}
\newgray{lightestgray}{.93}

% draw the triangles


\pscustom[linewidth=.1pt]{
\psline[linewidth=.1pt]
(0.00000000,0.00000000)
(0.84089641,0.00000000)
\psarc[linewidth=.1pt]
(1.0150518,-0.3016458)
{0.34831066}
{120.00000}
{195.00001}
\psline[linewidth=.1pt]
(0.67860947,-0.3917953)
(0.00000000,0.00000000)
\closepath}
\pscustom[linewidth=.1pt,fillstyle=solid,fillcolor=lightgray]{
\psline[linewidth=.1pt]
(0.00000000,0.00000000)
(0.84089641,0.00000000)
\psarcn[linewidth=.1pt]
(1.0150518,0.30164593)
{0.34831072}
{240.00000}
{165.00000}
\psline[linewidth=.1pt]
(0.67860947,0.39179536)
(0.00000000,0.00000000)
\closepath}


\pscustom[linewidth=.1pt]{
\psline[linewidth=.1pt]
(0.00000000,0.00000000)
(-0.4204482,0.72823766)
\psarc[linewidth=.1pt]
(-0.2462928,1.0298836)
{0.34831070}
{240.00000}
{315.00000}
\psline[linewidth=.1pt]
(0.00000000,0.78359071)
(0.00000000,0.00000000)
\closepath}
\pscustom[linewidth=.1pt,fillstyle=solid,fillcolor=lightgray]{
\psline[linewidth=.1pt]
(0.00000000,0.00000000)
(-0.4204482,0.72823766)
\psarcn[linewidth=.1pt]
(-0.7687588,0.72823763)
{0.34831068}
{0.00000490}
{285.00000}
\psline[linewidth=.1pt]
(-0.6786094,0.39179536)
(0.00000000,0.00000000)
\closepath}


\pscustom[linewidth=.1pt]{
\psarc[linewidth=.1pt]
(0.76875906,0.64494042)
{0.08329737}
{176.89894}
{281.31416}
\psarc[linewidth=.1pt]
(1.0150519,0.30164589)
{0.34831078}
{131.31427}
{165.00000}
\psarcn[linewidth=.1pt]
(0.89190533,0.51494178)
{0.24629285}
{210.00000}
{146.89895}
\closepath}
\pscustom[linewidth=.1pt,fillstyle=solid,fillcolor=lightgray]{
\psarc[linewidth=.1pt]
(0.76875880,0.64494041)
{0.08329712}
{176.89893}
{281.31433}
\psarcn[linewidth=.1pt]
(0.79863914,0.60329185)
{0.04225715}
{251.31439}
{155.79654}
\psarcn[linewidth=.1pt]
(0.73887856,0.67648339)
{0.05976066}
{290.79659}
{206.89895}
\closepath}


\pscustom[linewidth=.1pt]{
\psline[linewidth=.1pt]
(0.00000000,0.00000000)
(-0.8408964,0.00000000)
\psarc[linewidth=.1pt]
(-1.0150517,0.30164592)
{0.34831069}
{300.00000}
{15.000001}
\psline[linewidth=.1pt]
(-0.6786094,0.39179536)
(0.00000000,0.00000000)
\closepath}
\pscustom[linewidth=.1pt,fillstyle=solid,fillcolor=lightgray]{
\psline[linewidth=.1pt]
(0.00000000,0.00000000)
(-0.8408964,0.00000000)
\psarcn[linewidth=.1pt]
(-1.0150518,-0.3016459)
{0.34831069}
{59.999999}
{345.00000}
\psline[linewidth=.1pt]
(-0.6786094,-0.3917953)
(0.00000000,0.00000000)
\closepath}


\pscustom[linewidth=.1pt]{
\psline[linewidth=.1pt]
(0.00000000,0.00000000)
(0.42044821,-0.7282376)
\psarc[linewidth=.1pt]
(0.24629285,-1.0298836)
{0.34831069}
{59.999999}
{135.00000}
\psline[linewidth=.1pt]
(0.00000000,-0.7835907)
(0.00000000,0.00000000)
\closepath}
\pscustom[linewidth=.1pt,fillstyle=solid,fillcolor=lightgray]{
\psline[linewidth=.1pt]
(0.00000000,0.00000000)
(0.42044821,-0.7282376)
\psarcn[linewidth=.1pt]
(0.76875892,-0.7282376)
{0.34831072}
{180.00000}
{105.00000}
\psline[linewidth=.1pt]
(0.67860947,-0.3917953)
(0.00000000,0.00000000)
\closepath}


\pscustom[linewidth=.1pt]{
\psline[linewidth=.1pt]
(0.00000000,0.00000000)
(0.42044821,0.72823766)
\psarc[linewidth=.1pt]
(0.76875892,0.72823764)
{0.34831072}
{180.00000}
{255.00000}
\psline[linewidth=.1pt]
(0.67860947,0.39179536)
(0.00000000,0.00000000)
\closepath}
\pscustom[linewidth=.1pt,fillstyle=solid,fillcolor=lightgray]{
\psline[linewidth=.1pt]
(0.00000000,0.00000000)
(0.42044821,0.72823766)
\psarcn[linewidth=.1pt]
(0.24629285,1.0298836)
{0.34831069}
{300.00000}
{225.00000}
\psline[linewidth=.1pt]
(0.00000000,0.78359071)
(0.00000000,0.00000000)
\closepath}


\pscustom[linewidth=.1pt]{
\psarcn[linewidth=.1pt]
(0.59460357,0.82878625)
{0.20109723}
{296.89895}
{209.99999}
\psarc[linewidth=.1pt]
(0.50752584,0.87906060)
{0.17415531}
{240.00001}
{306.76328}
\psarc[linewidth=.1pt]
(0.68985234,0.72823761)
{0.07890669}
{171.76324}
{266.89890}
\closepath}
\pscustom[linewidth=.1pt,fillstyle=solid,fillcolor=lightgray]{
\psarcn[linewidth=.1pt]
(0.59460358,0.82878624)
{0.20109721}
{296.89895}
{209.99998}
\psarc[linewidth=.1pt]
(0.76875894,0.72823765)
{0.34831073}
{180.00000}
{255.00000}
\psarcn[linewidth=.1pt]
(0.89190533,0.51494171)
{0.24629281}
{209.99998}
{146.89894}
\closepath}


\pscustom[linewidth=.1pt]{
\psline[linewidth=.1pt]
(0.00000000,0.00000000)
(-0.4204482,-0.7282376)
\psarc[linewidth=.1pt]
(-0.7687589,-0.7282376)
{0.34831072}
{360.00000}
{74.999996}
\psline[linewidth=.1pt]
(-0.6786094,-0.3917953)
(0.00000000,0.00000000)
\closepath}
\pscustom[linewidth=.1pt,fillstyle=solid,fillcolor=lightgray]{
\psline[linewidth=.1pt]
(0.00000000,0.00000000)
(-0.4204482,-0.7282376)
\psarcn[linewidth=.1pt]
(-0.2462928,-1.0298836)
{0.34831072}
{120.00000}
{45.000004}
\psline[linewidth=.1pt]
(0.00000000,-0.7835907)
(0.00000000,0.00000000)
\closepath}


% label the sides


\rput(0.69325463,-0.1683532)
{\psframebox*[linewidth=.0001,fillcolor=blue!10]
{$s_{1}$}}
\rput(-0.2008291,-0.6845527)
{\psframebox*[linewidth=.0001,fillcolor=red!80]
{$s_{1}$}}
\rput(0.69325463,0.16835318)
{\psframebox*[linewidth=.0001,fillcolor=blue!10]
{$s_{2}$}}
\rput(-0.2008291,0.68455274)
{\psframebox*[linewidth=.0001,fillcolor=red!80]
{$s_{2}$}}
\rput(0.62881836,0.67822656)
{\scalebox{0.69886979}
{\psframebox*[linewidth=.0001,fillcolor=blue!10]
{$s_{3}$}}}
\rput(0.71731409,0.62074907)
{\scalebox{0.37540694}
{\psframebox*[linewidth=.0001,fillcolor=red!80]
{$s_{3}$}}}
\rput(0.20082918,0.68455273)
{\psframebox*[linewidth=.0001,fillcolor=blue!10]
{$s_{4}$}}
\rput(0.51779868,0.70520849)
{\scalebox{0.69886979}
{\psframebox*[linewidth=.0001,fillcolor=red!80]
{$s_{4}$}}}
\rput(0.20082918,-0.6845527)
{\psframebox*[linewidth=.0001,fillcolor=blue!10]
{$s_{5}$}}
\rput(0.49242545,-0.5161995)
{\psframebox*[linewidth=.0001,fillcolor=red!80]
{$s_{5}$}}
\rput(-0.4924254,0.51619953)
{\psframebox*[linewidth=.0001,fillcolor=blue!10]
{$s_{6}$}}
\rput(-0.4924254,-0.5161995)
{\psframebox*[linewidth=.0001,fillcolor=red!80]
{$s_{6}$}}
\rput(-0.6932546,0.16835319)
{\psframebox*[linewidth=.0001,fillcolor=blue!10]
{$s_{7}$}}
\rput(-0.6932546,-0.1683531)
{\psframebox*[linewidth=.0001,fillcolor=red!80]
{$s_{7}$}}
\rput(0.71916244,0.48541173)
{\scalebox{0.37540694}
{\psframebox*[linewidth=.0001,fillcolor=blue!10]
{$s_{8}$}}}
\rput(0.75990316,0.58640435)
{\scalebox{0.37540694}
{\psframebox*[linewidth=.0001,fillcolor=red!80]
{$s_{8}$}}}

% draw the dessin

% coset 1
\psline[linewidth=1.5000000pt]
(0.00000000,0.00000000)
(0.84089641,0.00000000)
\psdots*[dotstyle=o,dotsize=7.0000000pt](0.00000000,0.00000000)
\psdots*[dotstyle=*,dotsize=7.0000000pt](0.84089641,0.00000000)
\psdots*[dotstyle=x,dotsize=7.0000000pt](0.67860947,-0.3917953)


% coset 2
\psline[linewidth=1.5000000pt]
(0.00000000,0.00000000)
(-0.4204482,0.72823766)
\psdots*[dotstyle=o,dotsize=7.0000000pt](0.00000000,0.00000000)
\psdots*[dotstyle=*,dotsize=7.0000000pt](-0.4204482,0.72823766)
\psdots*[dotstyle=x,dotsize=7.0000000pt](0.00000000,0.78359071)


% coset 3
\psarc[linewidth=0.56311040pt]
(0.76875891,0.64494038)
{0.08329722}
{176.89891}
{281.31427}
\psdots*[dotstyle=o,dotsize=2.6278486pt](0.68558366,0.64944658)
\psdots*[dotstyle=*,dotsize=2.6278486pt](0.78510100,0.56326203)
\psdots*[dotstyle=x,dotsize=2.6278486pt](0.67860947,0.39179536)


% coset 4
\psline[linewidth=1.5000000pt]
(0.00000000,0.00000000)
(-0.8408964,0.00000000)
\psdots*[dotstyle=o,dotsize=7.0000000pt](0.00000000,0.00000000)
\psdots*[dotstyle=*,dotsize=7.0000000pt](-0.8408964,0.00000000)
\psdots*[dotstyle=x,dotsize=7.0000000pt](-0.6786094,0.39179536)


% coset 5
\psline[linewidth=1.5000000pt]
(0.00000000,0.00000000)
(0.42044821,-0.7282376)
\psdots*[dotstyle=o,dotsize=7.0000000pt](0.00000000,0.00000000)
\psdots*[dotstyle=*,dotsize=7.0000000pt](0.42044821,-0.7282376)
\psdots*[dotstyle=x,dotsize=7.0000000pt](0.00000000,-0.7835907)


% coset 6
\psline[linewidth=1.5000000pt]
(0.00000000,0.00000000)
(0.42044821,0.72823766)
\psdots*[dotstyle=o,dotsize=7.0000000pt](0.00000000,0.00000000)
\psdots*[dotstyle=*,dotsize=7.0000000pt](0.42044821,0.72823766)
\psdots*[dotstyle=x,dotsize=7.0000000pt](0.67860947,0.39179536)


% coset 7
\psarcn[linewidth=1.0483047pt]
(0.59460357,0.82878628)
{0.20109726}
{296.89895}
{210.00000}
\psdots*[dotstyle=o,dotsize=4.8920885pt](0.68558366,0.64944658)
\psdots*[dotstyle=*,dotsize=4.8920885pt](0.42044821,0.72823766)
\psdots*[dotstyle=x,dotsize=4.8920885pt](0.61175961,0.73954210)


% coset 8
\psline[linewidth=1.5000000pt]
(0.00000000,0.00000000)
(-0.4204482,-0.7282376)
\psdots*[dotstyle=o,dotsize=7.0000000pt](0.00000000,0.00000000)
\psdots*[dotstyle=*,dotsize=7.0000000pt](-0.4204482,-0.7282376)
\psdots*[dotstyle=x,dotsize=7.0000000pt](-0.6786094,-0.3917953)


% label the cosets


\rput(0.42044821,0.00000000)
{\psshadowbox[linewidth=.0001,fillcolor=lightestgray]
{$1$}}
\rput(-0.2102241,0.36411883)
{\psshadowbox[linewidth=.0001,fillcolor=lightestgray]
{$2$}}
\rput(0.71422809,0.58197366)
{\scalebox{0.37540694}
{\psshadowbox[linewidth=.0001,fillcolor=lightestgray]
{$3$}}}
\rput(-0.4204482,0.00000000)
{\psshadowbox[linewidth=.0001,fillcolor=lightestgray]
{$4$}}
\rput(0.21022410,-0.3641188)
{\psshadowbox[linewidth=.0001,fillcolor=lightestgray]
{$5$}}
\rput(0.21022410,0.36411883)
{\psshadowbox[linewidth=.0001,fillcolor=lightestgray]
{$6$}}
\rput(0.53731885,0.63602069)
{\scalebox{0.69886979}
{\psshadowbox[linewidth=.0001,fillcolor=lightestgray]
{$7$}}}
\rput(-0.2102241,-0.3641188)
{\psshadowbox[linewidth=.0001,fillcolor=lightestgray]
{$8$}}

\end{pspicture}
\end{center}

\thispagestyle{empty}
\end{document}


% [(1, 6, 2, 4, 8, 5)(3, 7),(1, 8, 2)(6, 7),(1, 5)(2, 7, 3, 6)(4, 8)]
