%\documentclass{beamer}
\documentclass[handout,xcolor=pst,dvips]{beamer}
\mode<presentation>{ \usetheme{Boadilla}\setbeamercovered{transparent} }
\usecolortheme{beaver}
\setbeamertemplate{navigation symbols}{}
\setbeamertemplate{footline}{}%[page number]{}
\usepackage{pstricks}
\usepackage{color}

%\parskip 12pt

\begin{document}
\begin{frame}{\hspace*{.18in} All (dually) nonisomorphic lattices with $\le 7$ elements}

%{\color[hsb]{.8,1,1}
\begin{center}
\psset{unit=0.25cm}
%0
\pspicture(0,-1)(0.5,2)
 \psline{o-o}(0,0)(0,0)
 \rput[t](0,-0.5){\scriptsize$K_{1,1}$}
 \rput[l](3.5,5.7){\scriptsize$K_{n,k}=$ selfdual lattice of size $n$ \qquad\qquad $L_{n,k}=$ nonselfdual lattice of size $n$}
\endpspicture
\ \quad
%0
\pspicture(0,-1)(0.5,2)
 \psline{o-o}(0,0)(0,1)
 \rput[t](0,-0.5){\scriptsize$K_{2,1}$}
\endpspicture
\ \quad
%0
\pspicture(0,-1)(0,3)
 \psline{o-o}(0,0)(0,1)
 \psline{o-o}(0,1)(0,2)
 \rput[t](0,-0.5){\scriptsize$K_{3,1}$}
\endpspicture
\ \quad
%0
\visible<2->{%
\pspicture(-0.5,-1)(0.5,3)
 \psline{o-o}(0,0)(-0.5,1)
 \psline{o-o}(0,0)(0.5,1)
 \psline{o-o}(-0.5,1)(0,2)
 \psline{o-o}(0.5,1)(0,2)
 \rput[t](0,-0.5){\scriptsize$K_{4,1}$}
\endpspicture
\ \quad
%1
\pspicture(0,-1)(0,4)
 \psline{o-o}(0,0)(0,1)
 \psline{o-o}(0,1)(0,2)
 \psline{o-o}(0,2)(0,3)
 \rput[t](0,-0.5){\scriptsize$K_{4,2}$}
\endpspicture
\ \quad}\visible<3->{%
%0
\pspicture(-0.5,-1)(0.5,4)
 \psline{o-o}(0,0)(0,1)
 \psline{o-o}(0,1)(-0.5,2)
 \psline{o-o}(0,1)(0.5,2)
 \psline{o-o}(-0.5,2)(0,3)
 \psline{o-o}(0.5,2)(0,3)
 \rput[t](0,-0.5){\scriptsize$L_{5,1}$}
\endpspicture
\ \quad}\visible<4->{%
%1
\pspicture(-1,-1)(1,3)
 \psline{o-o}(0,0)(-1,1)
 \psline{o-o}(0,0)(0,1)
 \psline{o-o}(0,0)(1,1)
 \psline{o-o}(-1,1)(0,2)
 \psline{o-o}(0,1)(0,2)
 \psline{o-o}(1,1)(0,2)
 \rput[t](0,-0.5){\scriptsize$K_{5,1}$}
\endpspicture
\ \quad
%2
\pspicture(-0.5,-1)(0.5,4)
 \psline{o-o}(0,0)(-0.5,1.5)
 \psline{o-o}(0,0)(0.5,1)
 \psline{o-o}(-0.5,1.5)(0,3)
 \psline{o-o}(0.5,1)(0.5,2)
 \psline{o-o}(0.5,2)(0,3)
 \rput[t](0,-0.5){\scriptsize$K_{5,2}$}
\endpspicture
\ \quad
%3
\pspicture(0,-1)(0,5)
 \psline{o-o}(0,0)(0,1)
 \psline{o-o}(0,1)(0,2)
 \psline{o-o}(0,2)(0,3)
 \psline{o-o}(0,3)(0,4)
 \rput[t](0,-0.5){\scriptsize$K_{5,3}$}
\endpspicture
\ \quad}\visible<5->{%
%0
\pspicture(-1,-1)(1,4)
 \psline{o-o}(0,0)(-1,1.5)
 \psline{o-o}(0,0)(0,1)
 \psline{o-o}(-1,1.5)(0,3)
 \psline{o-o}(0,1)(0,2)
 \psline{o-o}(0,1)(1,2)
 \psline{o-o}(0,2)(0,3)
 \psline{o-o}(1,2)(0,3)
 \rput[t](0,-0.5){\scriptsize$L_{6,1}$}
\endpspicture
\ \quad
%1
\pspicture(-1,-1)(1,4)
 \psline{o-o}(0,0)(0,1)
 \psline{o-o}(0,1)(-1,2)
 \psline{o-o}(0,1)(0,2)
 \psline{o-o}(0,1)(1,2)
 \psline{o-o}(-1,2)(0,3)
 \psline{o-o}(0,2)(0,3)
 \psline{o-o}(1,2)(0,3)
 \rput[t](0,-0.5){\scriptsize$L_{6,2}$}
\endpspicture
\ \quad
%2
\pspicture(-0.5,-1)(0.5,5)
 \psline{o-o}(0,0)(0,1)
 \psline{o-o}(0,1)(-0.5,2.5)
 \psline{o-o}(0,1)(0.5,2)
 \psline{o-o}(-0.5,2.5)(0,4)
 \psline{o-o}(0.5,2)(0.5,3)
 \psline{o-o}(0.5,3)(0,4)
 \rput[t](0,-0.5){\scriptsize$L_{6,3}$}
\endpspicture
\ \quad
%3
\pspicture(-0.5,-1)(0.5,5)
 \psline{o-o}(0,0)(0,1)
 \psline{o-o}(0,1)(0,2)
 \psline{o-o}(0,2)(-0.5,3)
 \psline{o-o}(0,2)(0.5,3)
 \psline{o-o}(-0.5,3)(0,4)
 \psline{o-o}(0.5,3)(0,4)
 \rput[t](0,-0.5){\scriptsize$L_{6,4}$}
\endpspicture
\ \quad}\visible<6->{%
%4
\pspicture(-1.5,-1)(1.5,3)
 \psline{o-o}(0,0)(-1.5,1)
 \psline{o-o}(0,0)(-0.5,1)
 \psline{o-o}(0,0)(0.5,1)
 \psline{o-o}(0,0)(1.5,1)
 \psline{o-o}(-1.5,1)(0,2)
 \psline{o-o}(-0.5,1)(0,2)
 \psline{o-o}(0.5,1)(0,2)
 \psline{o-o}(1.5,1)(0,2)
 \rput[t](0,-0.5){\scriptsize$K_{6,1}$}
\endpspicture
\ \quad
%5
\pspicture(-1,-1)(1,4)
 \psline{o-o}(0,0)(-1,1.5)
 \psline{o-o}(0,0)(1,1.5)
 \psline{o-o}(0,0)(0,1)
 \psline{o-o}(-1,1.5)(0,3)
 \psline{o-o}(0,1)(0,2)
 \psline{o-o}(0,2)(0,3)
 \psline{o-o}(1,1.5)(0,3)
 \rput[t](0,-0.5){\scriptsize$K_{6,2}$}
\endpspicture
\ \quad
%6
\pspicture(-0.5,-1)(0.5,4)
 \psline{o-o}(0,0)(-0.5,1)
 \psline{o-o}(0,0)(0.5,1)
 \psline{o-o}(-0.5,1)(-0.5,2)
 \psline{o-o}(0.5,1)(0.5,2)
 \psline{o-o}(-0.5,2)(0,3)
 \psline{o-o}(0.5,2)(0,3)
 \rput[t](0,-0.5){\scriptsize$K_{6,3}$}
\endpspicture
\ \quad
%7
\pspicture(-0.5,-1)(0.5,4)
 \psline{o-o}(0,0)(-0.5,1)
 \psline{o-o}(0,0)(0.5,1)
 \psline{o-o}(-0.5,1)(-0.5,2)
 \psline{o-o}(0.5,1)(0.5,2)
 \psline{o-o}(0.5,1)(-0.5,2)
 \psline{o-o}(-0.5,2)(0,3)
 \psline{o-o}(0.5,2)(0,3)
 \rput[t](0,-0.5){\scriptsize$K_{6,4}$}
\endpspicture
\ \quad
%8
\pspicture(-0.5,-1)(0.5,5)
 \psline{o-o}(0,0)(-0.5,2)
 \psline{o-o}(0,0)(0.5,1)
 \psline{o-o}(-0.5,2)(0,4)
 \psline{o-o}(0.5,1)(0.5,2)
 \psline{o-o}(0.5,2)(0.5,3)
 \psline{o-o}(0.5,3)(0,4)
 \rput[t](0,-0.5){\scriptsize$K_{6,5}$}
\endpspicture
\ \quad
%9
\pspicture(-0.5,-1)(0.5,5)
 \psline{o-o}(0,0)(0,1)
 \psline{o-o}(0,1)(-0.5,2)
 \psline{o-o}(0,1)(0.5,2)
 \psline{o-o}(-0.5,2)(0,3)
 \psline{o-o}(0.5,2)(0,3)
 \psline{o-o}(0,3)(0,4)
 \rput[t](0,-0.5){\scriptsize$K_{6,6}$}
\endpspicture
\ \quad
%10
\pspicture(0,-1)(0,6)
 \psline{o-o}(0,0)(0,1)
 \psline{o-o}(0,1)(0,2)
 \psline{o-o}(0,2)(0,3)
 \psline{o-o}(0,3)(0,4)
 \psline{o-o}(0,4)(0,5)
 \rput[t](0,-0.5){\scriptsize$K_{6,7}$}
\endpspicture
\ \quad}\visible<7->{%
%0
\pspicture(-1.5,-1)(1.5,4)
 \psline{o-o}(0,0)(-1.5,2)
 \psline{o-o}(0,0)(1.5,2)
 \psline{o-o}(0,0)(0,1)
 \psline{o-o}(-1.5,2)(0,3)
 \psline{o-o}(0,1)(-0.5,2)
 \psline{o-o}(0,1)(0.5,2)
 \psline{o-o}(-0.5,2)(0,3)
 \psline{o-o}(0.5,2)(0,3)
 \psline{o-o}(1.5,2)(0,3)
 \rput[t](0,-0.5){\scriptsize$L_{7,1}$}
\endpspicture
\ \quad
%1
\pspicture(-1.5,-1)(1.5,4)
 \psline{o-o}(0,0)(-1.5,2)
 \psline{o-o}(0,0)(0,1)
 \psline{o-o}(-1.5,2)(0,3)
 \psline{o-o}(0,1)(-0.5,2)
 \psline{o-o}(0,1)(0.5,2)
 \psline{o-o}(0,1)(1.5,2)
 \psline{o-o}(-0.5,2)(0,3)
 \psline{o-o}(0.5,2)(0,3)
 \psline{o-o}(1.5,2)(0,3)
 \rput[t](0,-0.5){\scriptsize$L_{7,2}$}
\endpspicture
\ \quad
%2
\pspicture(-1,-1)(1,4)
 \psline{o-o}(0,0)(-1,1)
 \psline{o-o}(0,0)(1,1)
 \psline{o-o}(-1,1)(-1,2)
 \psline{o-o}(1,1)(0,2)
 \psline{o-o}(1,1)(1,2)
 \psline{o-o}(-1,2)(0,3)
 \psline{o-o}(0,2)(0,3)
 \psline{o-o}(1,2)(0,3)
 \rput[t](0,-0.5){\scriptsize$L_{7,3}$}
\endpspicture
\ \quad
%3
\pspicture(-1,-1)(1,4)
 \psline{o-o}(0,0)(-1,1)
 \psline{o-o}(0,0)(0,1)
 \psline{o-o}(-1,1)(-1,2)
 \psline{o-o}(0,1)(-1,2)
 \psline{o-o}(0,1)(1,2)
 \psline{o-o}(0,1)(0,2)
 \psline{o-o}(-1,2)(0,3)
 \psline{o-o}(0,2)(0,3)
 \psline{o-o}(1,2)(0,3)
 \rput[t](0,-0.5){\scriptsize$L_{7,4}$}
\endpspicture
\ \quad
%4
\pspicture(-1,-1)(1,4)
 \psline{o-o}(0,0)(-1,1)
 \psline{o-o}(0,0)(1,1)
 \psline{o-o}(-1,1)(-1,2)
 \psline{o-o}(-1,1)(0,2)
 \psline{o-o}(1,1)(1,2)
 \psline{o-o}(1,1)(0,2)
 \psline{o-o}(-1,2)(0,3)
 \psline{o-o}(0,2)(0,3)
 \psline{o-o}(1,2)(0,3)
 \rput[t](0,-0.5){\scriptsize$L_{7,5}$}
\endpspicture
\ \quad
%5
\pspicture(-1.5,-1)(1.5,4)
 \psline{o-o}(0,0)(0,1)
 \psline{o-o}(0,1)(-1.5,2)
 \psline{o-o}(0,1)(-0.5,2)
 \psline{o-o}(0,1)(0.5,2)
 \psline{o-o}(0,1)(1.5,2)
 \psline{o-o}(-1.5,2)(0,3)
 \psline{o-o}(-0.5,2)(0,3)
 \psline{o-o}(0.5,2)(0,3)
 \psline{o-o}(1.5,2)(0,3)
 \rput[t](0,-0.5){\scriptsize$L_{7,6}$}
\endpspicture
\ \quad
%6
\pspicture(-1.5,-1)(0.5,5)
 \psline{o-o}(0,0)(-1.5,2)
 \psline{o-o}(0,0)(0,1)
 \psline{o-o}(-1.5,2)(0,4)
 \psline{o-o}(0,1)(-0.5,2.5)
 \psline{o-o}(0,1)(0.5,2)
 \psline{o-o}(-0.5,2.5)(0,4)
 \psline{o-o}(0.5,2)(0.5,3)
 \psline{o-o}(0.5,3)(0,4)
 \rput[t](-0.5,-0.5){\scriptsize$L_{7,7}$}
\endpspicture
\ \quad
%7
\pspicture(-1,-1)(0.5,5)
 \psline{o-o}(0,0)(-1,2)
 \psline{o-o}(0,0)(0.5,1)
 \psline{o-o}(-1,2)(0,4)
 \psline{o-o}(0.5,1)(0.5,2)
 \psline{o-o}(0.5,2)(0,3)
 \psline{o-o}(0.5,2)(1,3)
 \psline{o-o}(0,3)(0,4)
 \psline{o-o}(1,3)(0,4)
 \rput[t](-0.25,-0.5){\scriptsize$L_{7,8}$}
\endpspicture
\ \quad
%8
\pspicture(-0.5,-1)(0.5,5)
 \psline{o-o}(0,0)(0.5,1)
 \psline{o-o}(0,0)(-0.5,1.5)
 \psline{o-o}(0.5,1)(0.5,2)
 \psline{o-o}(-0.5,1.5)(-0.5,2.5)
 \psline{o-o}(-0.5,1.5)(0.5,3)
 \psline{o-o}(-0.5,2.5)(0,4)
 \psline{o-o}(0.5,2)(0.5,3)
 \psline{o-o}(0.5,3)(0,4)
 \rput[t](0,-0.5){\scriptsize$L_{7,9}$}
\endpspicture
\ \quad
%9
\pspicture(-0.5,-1)(0.5,5)
 \psline{o-o}(0,0)(-0.5,1)
 \psline{o-o}(0,0)(0.5,1)
 \psline{o-o}(-0.5,1)(-0.5,2)
 \psline{o-o}(0.5,1)(0.5,2.5)
 \psline{o-o}(0.5,1)(-0.5,2)
 \psline{o-o}(-0.5,2)(-0.5,3)
 \psline{o-o}(-0.5,3)(0,4)
 \psline{o-o}(0.5,2.5)(0,4)
 \rput[t](0,-0.5){\scriptsize$L_{7,10}$}
\endpspicture
\ \quad
%10
\pspicture(-1,-1)(1,5)
 \psline{o-o}(0,0)(0,1)
 \psline{o-o}(0,1)(-1,2.5)
 \psline{o-o}(0,1)(1,2.5)
 \psline{o-o}(0,1)(0,2)
 \psline{o-o}(0,2)(0,3)
 \psline{o-o}(-1,2.5)(0,4)
 \psline{o-o}(0,3)(0,4)
 \psline{o-o}(1,2.5)(0,4)
 \rput[t](0,-0.5){\scriptsize$L_{7,11}$}
\endpspicture
\ \quad
%11
\pspicture(-1,-1)(1,5)
 \psline{o-o}(0,0)(0,1)
 \psline{o-o}(0,1)(-1,2.5)
 \psline{o-o}(0,1)(0,2)
 \psline{o-o}(0,1)(1,2)
 \psline{o-o}(-1,2.5)(0,4)
 \psline{o-o}(0,2)(0,3)
 \psline{o-o}(1,2)(0,3)
 \psline{o-o}(0,3)(0,4)
 \rput[t](0,-0.5){\scriptsize$L_{7,12}$}
\endpspicture
\ \quad
%12
\pspicture(-1,-1)(1,5)
 \psline{o-o}(0,0)(0,1)
 \psline{o-o}(0,1)(-1,2.5)
 \psline{o-o}(0,1)(0,2)
 \psline{o-o}(-1,2.5)(0,4)
 \psline{o-o}(0,2)(1,3)
 \psline{o-o}(0,2)(0,3)
 \psline{o-o}(0,3)(0,4)
 \psline{o-o}(1,3)(0,4)
 \rput[t](0,-0.5){\scriptsize$L_{7,13}$}
\endpspicture
\ \quad
%13
\pspicture(-0.5,-1)(0.5,5)
 \psline{o-o}(0,0)(0,1)
 \psline{o-o}(0,1)(-0.5,2)
 \psline{o-o}(0,1)(0.5,2)
 \psline{o-o}(-0.5,2)(-0.5,3)
 \psline{o-o}(0.5,2)(0.5,3)
 \psline{o-o}(-0.5,3)(0,4)
 \psline{o-o}(0.5,3)(0,4)
 \rput[t](0,-0.5){\scriptsize$L_{7,14}$}
\endpspicture
\ \quad
%14
\pspicture(-0.5,-1)(0.5,5)
 \psline{o-o}(0,0)(0,1)
 \psline{o-o}(0,1)(-0.5,2)
 \psline{o-o}(0,1)(0.5,2)
 \psline{o-o}(-0.5,2)(-0.5,3)
 \psline{o-o}(0.5,2)(0.5,3)
 \psline{o-o}(0.5,2)(-0.5,3)
 \psline{o-o}(-0.5,3)(0,4)
 \psline{o-o}(0.5,3)(0,4)
 \rput[t](0,-0.5){\scriptsize$L_{7,15}$}
\endpspicture
\ \quad
%15
\pspicture(-1,-1)(1,5)
 \psline{o-o}(0,0)(0,1)
 \psline{o-o}(0,1)(0,2)
 \psline{o-o}(0,2)(-1,3)
 \psline{o-o}(0,2)(0,3)
 \psline{o-o}(0,2)(1,3)
 \psline{o-o}(-1,3)(0,4)
 \psline{o-o}(0,3)(0,4)
 \psline{o-o}(1,3)(0,4)
 \rput[t](0,-0.5){\scriptsize$L_{7,16}$}
\endpspicture
\ \quad
%16
\pspicture(-0.5,-1)(0.5,6)
 \psline{o-o}(0,0)(0,1)
 \psline{o-o}(0,1)(-0.5,3)
 \psline{o-o}(0,1)(0.5,2)
 \psline{o-o}(-0.5,3)(0,5)
 \psline{o-o}(0.5,2)(0.5,3)
 \psline{o-o}(0.5,3)(0.5,4)
 \psline{o-o}(0.5,4)(0,5)
 \rput[t](0,-0.5){\scriptsize$L_{7,17}$}
\endpspicture
\ \quad
%17
\pspicture(-0.5,-1)(0.5,6)
 \psline{o-o}(0,0)(0,1)
 \psline{o-o}(0,1)(0,2)
 \psline{o-o}(0,2)(-0.5,3.5)
 \psline{o-o}(0,2)(0.5,3)
 \psline{o-o}(-0.5,3.5)(0,5)
 \psline{o-o}(0.5,3)(0.5,4)
 \psline{o-o}(0.5,4)(0,5)
 \rput[t](0,-0.5){\scriptsize$L_{7,18}$}
\endpspicture
\ \quad
%18
\pspicture(-0.5,-1)(0.5,6)
 \psline{o-o}(0,0)(0,1)
 \psline{o-o}(0,1)(0,2)
 \psline{o-o}(0,2)(-0.5,3)
 \psline{o-o}(0,2)(0.5,3)
 \psline{o-o}(-0.5,3)(0,4)
 \psline{o-o}(0.5,3)(0,4)
 \psline{o-o}(0,4)(0,5)
 \rput[t](0,-0.5){\scriptsize$L_{7,19}$}
\endpspicture
\ \quad
%19
\pspicture(-0.5,-1)(0.5,6.5)
 \psline{o-o}(0,0)(0,1)
 \psline{o-o}(0,1)(0,2)
 \psline{o-o}(0,2)(0,3)
 \psline{o-o}(0,3)(-0.5,4)
 \psline{o-o}(0,3)(0.5,4)
 \psline{o-o}(-0.5,4)(0,5)
 \psline{o-o}(0.5,4)(0,5)
 \rput[t](0,-0.5){\scriptsize$L_{7,20}$}
\endpspicture
%\ \quad
}

\visible<8->{
%20
\pspicture(-2,-1)(2,3)
 \psline{o-o}(0,0)(-2,1)
 \psline{o-o}(0,0)(-1,1)
 \psline{o-o}(0,0)(0,1)
 \psline{o-o}(0,0)(1,1)
 \psline{o-o}(0,0)(2,1)
 \psline{o-o}(-2,1)(0,2)
 \psline{o-o}(-1,1)(0,2)
 \psline{o-o}(0,1)(0,2)
 \psline{o-o}(1,1)(0,2)
 \psline{o-o}(2,1)(0,2)
 \rput[t](0,-0.5){\scriptsize$K_{7,1}$}
\endpspicture
\ \quad
%21
\pspicture(-1.5,-1)(1.5,4)
 \psline{o-o}(0,0)(-1.5,1.5)
 \psline{o-o}(0,0)(-0.5,1.5)
 \psline{o-o}(0,0)(.5,1.5)
 \psline{o-o}(0,0)(1.5,1)
 \psline{o-o}(-1.5,1.5)(0,3)
 \psline{o-o}(-0.5,1.5)(0,3)
 \psline{o-o}(1.5,1)(1.5,2)
 \psline{o-o}(1.5,2)(0,3)
 \psline{o-o}(.5,1.5)(0,3)
 \rput[t](0,-0.5){\scriptsize$K_{7,2}$}
\endpspicture
\ \quad
%22
\pspicture(-1,-1)(1,4)
 \psline{o-o}(0,0)(0,1.5)
 \psline{o-o}(0,0)(-1,1)
 \psline{o-o}(0,0)(1,1)
 \psline{o-o}(-1,1)(-1,2)
 \psline{o-o}(-1,2)(0,3)
 \psline{o-o}(0,1.5)(0,3)
 \psline{o-o}(1,1)(1,2)
 \psline{o-o}(1,2)(0,3)
 \rput[t](0,-0.5){\scriptsize$K_{7,3}$}
\endpspicture
\ \quad
%23
\pspicture(-1,-1)(1.5,4)
 \psline{o-o}(0,0)(1.5,1.5)
 \psline{o-o}(0,0)(0.5,1)
 \psline{o-o}(0,0)(-0.5,1)
 \psline{o-o}(-0.5,1)(-0.5,2)
 \psline{o-o}(-0.5,1)(0.5,2)
 \psline{o-o}(0.5,1)(0.5,2)
 \psline{o-o}(-0.5,2)(0,3)
 \psline{o-o}(0.5,2)(0,3)
 \psline{o-o}(1.5,1.5)(0,3)
 \rput[t](0.25,-0.5){\scriptsize$K_{7,4}$}
\endpspicture
\ \quad
%24
\pspicture(-1,-1)(1,5)
 \psline{o-o}(0,0)(-1,2)
 \psline{o-o}(0,0)(1,2)
 \psline{o-o}(0,0)(0,1)
 \psline{o-o}(-1,2)(0,4)
 \psline{o-o}(0,1)(0,2)
 \psline{o-o}(0,2)(0,3)
 \psline{o-o}(1,2)(0,4)
 \psline{o-o}(0,3)(0,4)
 \rput[t](0,-0.5){\scriptsize$K_{7,5}$}
\endpspicture
\ \quad
%25
\pspicture(-1,-1)(1,5)
 \psline{o-o}(0,0)(1,2)
 \psline{o-o}(0,0)(0,1)
 \psline{o-o}(0,1)(-1,2)
 \psline{o-o}(0,1)(0,2)
 \psline{o-o}(-1,2)(0,3)
 \psline{o-o}(0,2)(0,3)
 \psline{o-o}(1,2)(0,4)
 \psline{o-o}(0,3)(0,4)
 \rput[t](0,-0.5){\scriptsize$K_{7,6}$}
\endpspicture
\ \quad
%26
\pspicture(-0.5,-1)(0.5,5)
 \psline{o-o}(0,0)(-0.5,1.5)
 \psline{o-o}(0,0)(0.5,1)
 \psline{o-o}(-0.5,1.5)(-0.5,2.5)
 \psline{o-o}(0.5,1)(0.5,2)
 \psline{o-o}(0.5,2)(0.5,3)
 \psline{o-o}(-0.5,2.5)(0,4)
 \psline{o-o}(0.5,3)(0,4)
 \rput[t](0,-0.5){\scriptsize$K_{7,7}$}
\endpspicture
\ \quad
%27
\pspicture(-0.5,-1)(0.5,5)
 \psline{o-o}(0,0)(0.5,1.5)
 \psline{o-o}(0,0)(-0.5,1)
 \psline{o-o}(0.5,1.5)(0.5,3)
 \psline{o-o}(-0.5,1)(-0.5,2.5)
 \psline{o-o}(-0.5,1)(0,2)
 \psline{o-o}(0,2)(0.5,3)
 \psline{o-o}(-0.5,2.5)(0,4)
 \psline{o-o}(0.5,3)(0,4)
 \rput[t](0,-0.5){\scriptsize$K_{7,8}$}
\endpspicture
\ \quad
%28
\pspicture(-0.5,-1)(0.5,5)
 \psline{o-o}(0,0)(-0.5,1)
 \psline{o-o}(0,0)(0.5,1)
 \psline{o-o}(-0.5,1)(0,2)
 \psline{o-o}(0.5,1)(0,2)
 \psline{o-o}(0,2)(-0.5,3)
 \psline{o-o}(0,2)(0.5,3)
 \psline{o-o}(-0.5,3)(0,4)
 \psline{o-o}(0.5,3)(0,4)
 \rput[t](0,-0.5){\scriptsize$K_{7,9}$}
\endpspicture
\ \quad
%29
\pspicture(-1,-1)(1,5)
 \psline{o-o}(0,0)(0,1)
 \psline{o-o}(0,1)(-1,2)
 \psline{o-o}(0,1)(0,2)
 \psline{o-o}(0,1)(1,2)
 \psline{o-o}(-1,2)(0,3)
 \psline{o-o}(0,2)(0,3)
 \psline{o-o}(1,2)(0,3)
 \psline{o-o}(0,3)(0,4)
 \rput[t](0,-0.5){\scriptsize$K_{7,10}$}
\endpspicture
\ \quad
%30
\pspicture(-0.5,-1)(0.5,6)
 \psline{o-o}(0,0)(-0.5,2.5)
 \psline{o-o}(0,0)(0.5,1)
 \psline{o-o}(-0.5,2.5)(0,5)
 \psline{o-o}(0.5,1)(0.5,2)
 \psline{o-o}(0.5,2)(0.5,3)
 \psline{o-o}(0.5,3)(0.5,4)
 \psline{o-o}(0.5,4)(0,5)
 \rput[t](0,-0.5){\scriptsize$K_{7,11}$}
\endpspicture
\ \quad
%31
\pspicture(-0.5,-1)(0.5,6)
 \psline{o-o}(0,0)(0,1)
 \psline{o-o}(0,1)(-0.5,2.5)
 \psline{o-o}(0,1)(0.5,2)
 \psline{o-o}(-0.5,2.5)(0,4)
 \psline{o-o}(0.5,2)(0.5,3)
 \psline{o-o}(0.5,3)(0,4)
 \psline{o-o}(0,4)(0,5)
 \rput[t](0,-0.5){\scriptsize$K_{7,12}$}
\endpspicture
\ \quad
%32
\pspicture(0,-1)(0,6)
 \psline{o-o}(0,0)(0,1)
 \psline{o-o}(0,1)(0,2)
 \psline{o-o}(0,2)(0,3)
 \psline{o-o}(0,3)(0,4)
 \psline{o-o}(0,4)(0,5)
 \psline{o-o}(0,5)(0,6)
 \rput[t](0,-0.5){\scriptsize$K_{7,13}$}
\endpspicture}
\end{center}
%}

\begin{center}\tiny 
Lattices --- 
Math Poster 2009 --- Peter Jipsen --- Chapman University --- math.chapman.edu
\end{center}

\end{frame}
\end{document}