\ifx\JPicScale\undefined\def\JPicScale{1}\fi
\psset{unit=\JPicScale mm}
\psset{linewidth=0.3,dotsep=1,hatchwidth=0.3,hatchsep=1.5,shadowsize=1,dimen=middle}
\psset{dotsize=0.7 2.5,dotscale=1 1,fillcolor=black}
\psset{arrowsize=1 2,arrowlength=1,arrowinset=0.25,tbarsize=0.7 5,bracketlength=0.15,rbracketlength=0.15}
\begin{center}
\begin{pspicture}(0,0)(73.54,40)
\rput{0}(10,0){\psellipse[linewidth=0.75](0,0)(3.54,3.54)}
\rput{0}(30,0){\psellipse[linewidth=0.75](0,0)(3.54,3.54)}
\rput{0}(50,0){\psellipse[linewidth=0.75](0,0)(3.54,3.54)}
\rput{0}(70,0){\psellipse[linewidth=0.75](0,0)(3.54,3.54)}
\pspolygon[linewidth=0.75](10,40)(15,40)(15,35)(10,35)
\pspolygon[linewidth=0.75](37.63,39.74)(42.63,39.74)(42.63,34.74)(37.63,34.74)
\pspolygon[linewidth=0.75](64.87,39.74)(69.87,39.74)(69.87,34.74)(64.87,34.74)
\psline[linewidth=0.75](6.05,-0.04)(10,35)
\psbezier(10,35)(10,35)(10,35)(10,35)
\psbezier(10,35)(10,35)(10,35)(10,35)
\psline(8.42,3.12)(8.16,3.12)
\psline[linewidth=0.75](12.5,34.96)(8.82,3.16)
\psline[linewidth=0.75](14.87,34.34)(26.32,0)
\psline(26.32,0)(26.32,-0.26)
\psline[linewidth=0.75](26.58,1.71)(37.63,34.74)
\psline[linewidth=0.75](28.42,3.03)(38.95,34.34)
\psline[linewidth=0.75](30,3.55)(40.39,34.61)
\psline[linewidth=0.75](47.63,2.5)(41.32,34.74)
\psline[linewidth=0.75](42.76,34.21)(67.37,2.24)
\psline(32.11,2.63)(32.24,2.63)
\psline[linewidth=0.75](32.11,2.63)(64.74,34.74)
\psline[linewidth=0.75](66.45,34.47)(50.39,3.29)
\psline[linewidth=0.75](68.55,34.47)(52.24,3.03)
\end{pspicture}
\end{center}

\bs
{\small{\bf Fig 1}\pointir \it Diagram from the partitions of $[1\cdots 11]$.\\ 
$P_1=\left\{\{1,3,5\},\{7,8,9,10,11\},\{2,4,6\}\right\}$ (white spots (squares) above) and\\ $P_2=\left\{\{1,3\},\{2,5,7,8,9\},\{4,6,10\},\{11\}\right\}$ (black spots underneath).\\ 
The incidence matrix corresponding to this diagram (as drawn) is 
$\pmatrix{2 & 1 & 0 & 0\cr 0 & 3 & 1 & 1\cr 0 & 1 & 2 & 0}$. But, due to the fact that the definig partitions are unordered, one can permute the spots (black and white) and, so, the lines and columns of this matrix can be permuted. the diagram could be represented by the matrix $\pmatrix{0 & 0 & 1 & 2\cr 0 &  2 & 1 & 0\cr 1 & 0 & 3 & 1}$ as well.}


