Paper III: Typed Transfer, Nonlinear Packets, and Obstruction Theory

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1 \begin{tikzpicture}[x=1cm,y=1cm,>=Latex,font=\sffamily\small,line cap=round,line join=round]
2 \node[circle,draw,fill=white,minimum size=7mm,inner sep=1pt,] at (1.00000,1.00000) {$0$};
3 \node[circle,draw,fill=white,minimum size=7mm,inner sep=1pt,] at (5.00000,1.00000) {$1$};
4 \node[circle,draw,fill=white,minimum size=7mm,inner sep=1pt,] at (3.00000,4.00000) {$2$};
5 \draw[->,line width=.85pt,shorten <=4mm,shorten >=4mm,] (1,1) -- node[sloped,above,font=\sffamily\footnotesize] {$2$} (5,1);
6 \draw[->,line width=.85pt,shorten <=4mm,shorten >=4mm,] (5,1) -- node[sloped,above,font=\sffamily\footnotesize] {$3$} (3,4);
7 \draw[->,line width=.85pt,shorten <=4mm,shorten >=4mm,dashed] (1,1) -- node[sloped,above,font=\sffamily\footnotesize] {$5$} (3,4);
8 \node[] at (3.00000,4.80000) {reverse of direct edge: $1/5$};
9 \node[] at (3.00000,0.00000) {forward routes: 5 versus 6};
10 \draw[black!25] (6.00000,-0.35000) -- (6.00000,4.60000);
11 \node[font=\sffamily\bfseries] at (9.00000,4.70000) {loop input $1$ returns $6/5$};
12 \draw[fill=black!8,draw=black!40,line width=.35pt,] (7.00000,3.10000) rectangle ++(1.00000,0.66000);
13 \node[] at (7.50000,3.43000) {$0$};
14 \draw[fill=black!16,draw=black!40,line width=.35pt,] (8.00000,3.10000) rectangle ++(3.00000,0.66000);
15 \node[] at (9.50000,3.43000) {$1$};
16 \draw[fill=black!8,draw=black!40,line width=.35pt,] (7.00000,2.32000) rectangle ++(1.00000,0.66000);
17 \node[] at (7.50000,2.65000) {$1$};
18 \draw[fill=black!16,draw=black!40,line width=.35pt,] (8.00000,2.32000) rectangle ++(3.00000,0.66000);
19 \node[] at (9.50000,2.65000) {$\frac{6}{5}$};
20 \draw[fill=black!8,draw=black!40,line width=.35pt,] (7.00000,1.54000) rectangle ++(1.00000,0.66000);
21 \node[] at (7.50000,1.87000) {$2$};
22 \draw[fill=black!16,draw=black!40,line width=.35pt,] (8.00000,1.54000) rectangle ++(3.00000,0.66000);
23 \node[] at (9.50000,1.87000) {$\frac{36}{25}$};
24 \draw[fill=black!8,draw=black!40,line width=.35pt,] (7.00000,0.76000) rectangle ++(1.00000,0.66000);
25 \node[] at (7.50000,1.09000) {$3$};
26 \draw[fill=black!16,draw=black!40,line width=.35pt,] (8.00000,0.76000) rectangle ++(3.00000,0.66000);
27 \node[] at (9.50000,1.09000) {$\frac{216}{125}$};
28 \draw[fill=black!8,draw=black!40,line width=.35pt,] (7.00000,-0.02000) rectangle ++(1.00000,0.66000);
29 \node[] at (7.50000,0.31000) {$4$};
30 \draw[fill=black!16,draw=black!40,line width=.35pt,] (8.00000,-0.02000) rectangle ++(3.00000,0.66000);
31 \node[] at (9.50000,0.31000) {$\frac{1296}{625}$};
32 \node[] at (7.50000,4.08000) {loops};
33 \node[] at (9.50000,4.08000) {returned value};
34 \end{tikzpicture}

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