diff -r 62a402dd3e6e -r b138ee4a5938 sandbox.tex --- a/sandbox.tex Thu Sep 23 18:10:35 2010 -0700 +++ b/sandbox.tex Fri Sep 24 15:32:55 2010 -0700 @@ -13,128 +13,4 @@ \begin{document} -\begin{figure}[t] -\begin{center} -\begin{tikzpicture} - -\node(A) at (-4,0) { -\begin{tikzpicture}[scale=.8, fill=blue!15!white] -\filldraw[line width=1.5pt] (-.4,1) .. controls +(-1,-.1) and +(-1,0) .. (0,-1) - .. controls +(1,0) and +(1,-.1) .. (.4,1) -- (.4,3) - .. controls +(3,-.4) and +(3,0) .. (0,-3) - .. controls +(-3,0) and +(-3,-.1) .. (-.4,3) -- cycle; -\node at (0,-2) {$X$}; -\node (W) at (-2.7,-2) {$W$}; -\node (Y1) at (-1.2,3.5) {$Y$}; -\node (Y2) at (1.4,3.5) {$Y$}; -\node[outer sep=2.3] (y1e) at (-.4,2) {}; -\node[outer sep=2.3] (y2e) at (.4,2) {}; -\node (we1) at (-2.2,-1.1) {}; -\node (we2) at (-.6,-.7) {}; -\draw[->] (Y1) -- (y1e); -\draw[->] (Y2) -- (y2e); -\draw[->] (W) .. controls +(0,.5) and +(-.5,-.2) .. (we1); -\draw[->] (W) .. controls +(.5,0) and +(-.2,-.5) .. (we2); -\end{tikzpicture} -}; - -\node(B) at (4,0) { -\begin{tikzpicture}[scale=.8, fill=blue!15!white] -\fill (0,1) .. controls +(-1,0) and +(-1,0) .. (0,-1) - .. controls +(1,0) and +(1,0) .. (0,1) -- (0,3) - .. controls +(3,0) and +(3,0) .. (0,-3) - .. controls +(-3,0) and +(-3,0) .. (0,3) -- cycle; -\draw[line width=1.5pt] (0,1) .. controls +(-1,0) and +(-1,0) .. (0,-1) - .. controls +(1,0) and +(1,0) .. (0,1); -\draw[line width=1.5pt] (0,3) .. controls +(3,0) and +(3,0) .. (0,-3) - .. controls +(-3,0) and +(-3,0) .. (0,3); -\draw[line width=.5pt, black!65!white] (0,1) -- (0,3); -\node at (0,-2) {$X\sgl$}; -\node (W) at (2.7,-2) {$W\sgl$}; -\node (we1) at (2.2,-1.1) {}; -\node (we2) at (.6,-.7) {}; -\draw[->] (W) .. controls +(0,.5) and +(.5,-.2) .. (we1); -\draw[->] (W) .. controls +(-.5,0) and +(.2,-.5) .. (we2); -\end{tikzpicture} -}; - - -\draw[->, red!80!green, line width=2pt] (A) -- node[above, black] {glue} (B); - -\end{tikzpicture} -\end{center} -\caption{Gluing with corners} -\label{fig:gluing-with-corners} -\end{figure} - - - - - -blah - -\vfill\eject - - - -\begin{tikzpicture} -\newcommand{\rr}{6} -\newcommand{\vertex}{node[circle,fill=black,inner sep=1pt] {}} - -\node(A) at (0,0) { -\begin{tikzpicture} -\node[red,left] at (0,0) {$y$}; -\draw (0,0) \vertex arc (-120:-105:\rr) node[red,below] {$a$} arc(-105:-90:\rr) \vertex node[red,below](x2) {$x$}; -\draw (0,0) \vertex arc (120:105:\rr) node[red,above] {$a$} arc (105:90:\rr) \vertex node[red,above](x1) {$x$} -- (x2); -\begin{scope} - \path[clip] (0,0) arc (-120:-60:\rr) arc (60:120:\rr); - \foreach \x in {0,0.24,...,3} { - \draw[green!50!brown] (\x,1) -- (\x,-1); - } -\end{scope} -\draw[red, decorate,decoration={brace,amplitude=5pt}] ($(x1)+(0.2,-0.2)$) -- ($(x2)+(0.2,0.2)$) node[midway, xshift=0.7cm] {$x \times I$}; -\end{tikzpicture} -}; - -\node(B) at (-4,-4) { -\begin{tikzpicture} -\node[red,left] at (0,0) {$y$}; -\draw (0,0) \vertex - arc (120:105:\rr) node[red,above] {$a$} - arc (105:90:\rr) node[red,above] {$x$} \vertex - arc (90:75:\rr) node[red,above] {$x \times I$} - arc (75:60:\rr) \vertex node[red,right] {$x$} - arc (-60:-90:\rr) node[red,below] {$a$} - arc (-90:-120:\rr); -\begin{scope} - \path[clip] (0,0) arc (-120:-60:\rr) arc (60:120:\rr); - \foreach \x in {0,0.48,...,9} { - \draw[green!50!brown] (\x/4,1) -- (\x,-1); - } -\end{scope} -\end{tikzpicture} -}; - -\node(C) at (4,-4) { -\begin{tikzpicture}[y=-1cm] -\node[red,left] at (0,0) {$y$}; -\draw (0,0) \vertex - arc (120:105:\rr) node[red,below] {$a$} - arc (105:90:\rr) node[red,below] {$x$} \vertex - arc (90:75:\rr) node[red,below] {$x \times I$} - arc (75:60:\rr) \vertex node[red,right] {$x$} - arc (-60:-90:\rr) node[red,above] {$a$} - arc (-90:-120:\rr); -\begin{scope} - \path[clip] (0,0) arc (-120:-60:\rr) arc (60:120:\rr); - \foreach \x in {0,0.48,...,9} { - \draw[green!50!brown] (\x/4,1) -- (\x,-1); - } -\end{scope} -\end{tikzpicture} -}; - -\draw[->] (A) -- (B); -\draw[->] (A) -- (C); -\end{tikzpicture} \end{document}