diff --git a/trees/math-0008.tree b/trees/math-0008.tree
new file mode 100644
index 0000000..a99c9ed
--- /dev/null
+++ b/trees/math-0008.tree
@@ -0,0 +1,72 @@
+\import{tt-macros}
+% clifford hopf spin tt math draft
+\tag{draft}
+\title{Testing string diagrams}
+
+% definition theorem lemma construction observation
+% convention corollary axiom example exercise proof
+% discussion remark notation
+% \taxon{}
+
+\p{The following is testing string diagram drawing using the example from [Jon Sterling's String diagrams](https://www.jonmsterling.com/jms-00B8.xml):}
+
+\tikz{
+  \begin{tikzpicture}[scale=0.5]
+    \CreateRect{7}{4}
+
+    \path
+      coordinate[label=below:$M$] (s/M) at (spath cs:south 0.5)
+      coordinate[label=above:$F$] (n/F) at (spath cs:north 0.165)
+      coordinate[label=above:$M$] (n/M) at (spath cs:north 0.33)
+      coordinate[label=above:$N$] (n/N) at (spath cs:north 0.66)
+      coordinate[label=below:$F$] (s/F) at (spath cs:south 0.85)
+    ;
+
+    \path[spath/save = middle-vert] (s/M) to (nw -| s/M);
+    \coordinate[dot,label=-135:$\mu$] (mu) at (spath cs:middle-vert 0.33);
+
+    \draw[spath/save=swoosh] (n/F) to[out=-90,in=90] ($(s/F)+(0,1)$) to (s/F);
+    \draw[spath/save=cup] (n/M) to ($(n/M)+(0,-1.5)$) to[out=-90,in=180] (mu.center) to[out=0,in=-90] ($(n/N)+(0,-1.5)$) to (n/N);
+    \draw (s/M) to (mu.center);
+
+    \path[name intersections={of=cup and swoosh}]
+      coordinate[dot,label=-135:$\lambda$] (lambda) at (intersection-1)
+      coordinate[dot,label=25:$\lambda$] (lambda') at (intersection-2)
+    ;
+
+    \begin{scope}[on background layer]
+      \fill[catd] (nw) to (n/F) to[spath/use={swoosh,weld}] (s/F) to (sw) to cycle;
+      \fill[catc] (n/F) to[spath/use={swoosh,weld}] (s/F) to (se) to (ne) to cycle;
+    \end{scope}
+  \end{tikzpicture}
+}
+
+\tikz{
+  \begin{tikzpicture}[scale=0.6]
+  \node[box=0/2/0/1] (A) at (-2, 0) {A};
+  \node[box=0/1/0/2] (B) at (+2, 0) {B};
+  \node[box=0/1/0/1] (C) at ( 0,+1) {C};
+  \node[box=0/1/0/1] (D) at ( 0,-1) {D};
+  \wires{
+  A = { east.1 = C.west, east.2 = D.west },
+  C = { east = B.west.1 },
+  D = { east = B.west.2 },
+  }{ A.west, B.east }
+  \end{tikzpicture}
+}
+
+\tikz{
+  \begin{tikzpicture}
+  \node[box=0/1/0/2] (A) at ( 0,+1) {A};
+  \node[box=0/2/0/1] (B) at ( 0,-1) {B};
+  \node[dot] (x) at (+1, 0) {};
+  \node[dot] (y) at (-1, 0) {};
+  \wires[looseness=1.5, dashed]{
+  A = { east = x.north },
+  B = { east.1 = x.south },
+  y = { north = A.west.2, south = B.west },
+  }{
+  A.west.1, B.east.2, x.east, y.west
+  }
+  \end{tikzpicture}
+}
\ No newline at end of file
diff --git a/trees/tt-0003.tree b/trees/tt-0003.tree
index 66299c0..a32ad40 100644
--- a/trees/tt-0003.tree
+++ b/trees/tt-0003.tree
@@ -12,66 +12,3 @@
 \p{In most literatures (e.g. \cite{chen2016infinitely}), objects in #{\C} are denoted like #{X, Y \in \Ob(\C)}, the set of these arrows are denoted by #{\Hom_\C(X, Y)}, thus an arrow from #{X} to #{Y} is #{f \in \Hom_\C(X, Y)}. }
 
 \p{\cite{zhang2021type} simply writes the above as #{X \in \C} and #{f \in \C(X, Y)}, respectively, which is quite friendly, as long as one doesn't use the set theory mindset.}
-
-\p{The following is testing string diagram drawing using the example from [Jon Sterling's String diagrams](https://www.jonmsterling.com/jms-00B8.xml):}
-
-\tikz{
-  \begin{tikzpicture}[scale=0.5]
-    \CreateRect{7}{4}
-
-    \path
-      coordinate[label=below:$M$] (s/M) at (spath cs:south 0.5)
-      coordinate[label=above:$F$] (n/F) at (spath cs:north 0.165)
-      coordinate[label=above:$M$] (n/M) at (spath cs:north 0.33)
-      coordinate[label=above:$N$] (n/N) at (spath cs:north 0.66)
-      coordinate[label=below:$F$] (s/F) at (spath cs:south 0.85)
-    ;
-
-    \path[spath/save = middle-vert] (s/M) to (nw -| s/M);
-    \coordinate[dot,label=-135:$\mu$] (mu) at (spath cs:middle-vert 0.33);
-
-    \draw[spath/save=swoosh] (n/F) to[out=-90,in=90] ($(s/F)+(0,1)$) to (s/F);
-    \draw[spath/save=cup] (n/M) to ($(n/M)+(0,-1.5)$) to[out=-90,in=180] (mu.center) to[out=0,in=-90] ($(n/N)+(0,-1.5)$) to (n/N);
-    \draw (s/M) to (mu.center);
-
-    \path[name intersections={of=cup and swoosh}]
-      coordinate[dot,label=-135:$\lambda$] (lambda) at (intersection-1)
-      coordinate[dot,label=25:$\lambda$] (lambda') at (intersection-2)
-    ;
-
-    \begin{scope}[on background layer]
-      \fill[catd] (nw) to (n/F) to[spath/use={swoosh,weld}] (s/F) to (sw) to cycle;
-      \fill[catc] (n/F) to[spath/use={swoosh,weld}] (s/F) to (se) to (ne) to cycle;
-    \end{scope}
-  \end{tikzpicture}
-}
-
-\tikz{
-  \begin{tikzpicture}[scale=0.6]
-  \node[box=0/2/0/1] (A) at (-2, 0) {A};
-  \node[box=0/1/0/2] (B) at (+2, 0) {B};
-  \node[box=0/1/0/1] (C) at ( 0,+1) {C};
-  \node[box=0/1/0/1] (D) at ( 0,-1) {D};
-  \wires{
-  A = { east.1 = C.west, east.2 = D.west },
-  C = { east = B.west.1 },
-  D = { east = B.west.2 },
-  }{ A.west, B.east }
-  \end{tikzpicture}
-}
-
-\tikz{
-  \begin{tikzpicture}
-  \node[box=0/1/0/2] (A) at ( 0,+1) {A};
-  \node[box=0/2/0/1] (B) at ( 0,-1) {B};
-  \node[dot] (x) at (+1, 0) {};
-  \node[dot] (y) at (-1, 0) {};
-  \wires[looseness=1.5, dashed]{
-  A = { east = x.north },
-  B = { east.1 = x.south },
-  y = { north = A.west.2, south = B.west },
-  }{
-  A.west.1, B.east.2, x.east, y.west
-  }
-  \end{tikzpicture}
-}
\ No newline at end of file