From f207cb35e028d557530be91cf581a4667209d6c1 Mon Sep 17 00:00:00 2001
From: Ameyah <ScyllaHide@users.noreply.github.com>
Date: Wed, 17 Apr 2019 09:51:43 +0200
Subject: [PATCH] more examples for CAT and tikz template updated

---
 Material/CAT/complicated_example.tex   | 27 ++++++++++++++++++++
 Material/CAT/simple_example.tex        | 21 ++++++++++++++++
 Material/CAT/small_ones.tex            | 34 ++++++++++++++++++++++++++
 Material/templates/standalone_tikz.tex |  4 ++-
 4 files changed, 85 insertions(+), 1 deletion(-)
 create mode 100644 Material/CAT/complicated_example.tex
 create mode 100644 Material/CAT/simple_example.tex
 create mode 100644 Material/CAT/small_ones.tex

diff --git a/Material/CAT/complicated_example.tex b/Material/CAT/complicated_example.tex
new file mode 100644
index 0000000..6f2d0bb
--- /dev/null
+++ b/Material/CAT/complicated_example.tex
@@ -0,0 +1,27 @@
+\documentclass{standalone}
+
+
+\usepackage{tikz, amsmath}
+	\usepackage{tikz-qtree}
+	\usetikzlibrary{cd}
+	\usetikzlibrary{arrows}
+	\usetikzlibrary{automata}
+	\usetikzlibrary{babel}
+	\usetikzlibrary{calc}
+	\usetikzlibrary{fit}
+	\usetikzlibrary{matrix}
+	\usetikzlibrary{positioning}
+	\usetikzlibrary{shapes.geometric}
+	\usetikzlibrary{arrows.meta,bending}
+
+\begin{document}
+	\begin{tikzcd}
+		i \arrow[r,"\alpha"] & j \arrow[out=120,in=60,loop,"\beta_1"]
+		\arrow[out=240,in=300,loop,swap, "\beta_2"]
+	\end{tikzcd}
+	\begin{tikzcd}
+		i \arrow[r,"\alpha"] & j \arrow[loop above,"\beta_1"]
+		\arrow[loop below, "\beta_2"]
+		\arrow[loop right, "\beta_3"]
+	\end{tikzcd}
+\end{document}
\ No newline at end of file
diff --git a/Material/CAT/simple_example.tex b/Material/CAT/simple_example.tex
new file mode 100644
index 0000000..f34e170
--- /dev/null
+++ b/Material/CAT/simple_example.tex
@@ -0,0 +1,21 @@
+\documentclass{standalone}
+
+
+\usepackage{tikz, amsmath}
+	\usepackage{tikz-qtree}
+	\usetikzlibrary{cd}
+	\usetikzlibrary{arrows}
+	\usetikzlibrary{automata}
+	\usetikzlibrary{babel}
+	\usetikzlibrary{calc}
+	\usetikzlibrary{fit}
+	\usetikzlibrary{matrix}
+	\usetikzlibrary{positioning}
+	\usetikzlibrary{shapes.geometric}
+	\usetikzlibrary{arrows.meta,bending}
+
+\begin{document}
+	\begin{tikzcd}
+		
+	\end{tikzcd}
+\end{document}
\ No newline at end of file
diff --git a/Material/CAT/small_ones.tex b/Material/CAT/small_ones.tex
new file mode 100644
index 0000000..7dda564
--- /dev/null
+++ b/Material/CAT/small_ones.tex
@@ -0,0 +1,34 @@
+\documentclass{standalone}
+
+
+\usepackage{tikz, amsmath}
+	\usepackage{tikz-qtree}
+	\usetikzlibrary{cd}
+	\usetikzlibrary{arrows}
+	\usetikzlibrary{automata}
+	\usetikzlibrary{babel}
+	\usetikzlibrary{calc}
+	\usetikzlibrary{fit}
+	\usetikzlibrary{matrix}
+	\usetikzlibrary{positioning}
+	\usetikzlibrary{shapes.geometric}
+	\usetikzlibrary{arrows.meta,bending}
+
+\begin{document}
+	\begin{tikzcd}
+		[execute at end picture={
+			\draw[{Hooks[width=+0pt 10.8,length=+0pt 3.6,harpoon,line cap=round]}->] 
+			(\tikzcdmatrixname-1-2) to[out=175,in=185,looseness=3] 
+			node[midway,left]{$i$} (\tikzcdmatrixname-3-2);
+			\draw[-{Latex[bend]},thick] ([xshift=-0.35cm,yshift=0.45cm]\tikzcdmatrixname-2-2)
+			arc(0:340:0.2);
+			\draw[-{Latex[bend]},thick] ([xshift=-0.45cm,yshift=-0.45cm]\tikzcdmatrixname-2-2)
+			arc(20:360:0.2);
+			\draw[-{Latex[bend]},thick] ([xshift=0.55cm,yshift=-0.45cm]\tikzcdmatrixname-2-2)
+			arc(20:360:0.2);
+		}]
+		& R \arrow[d, "f"] \arrow[ld, "\phi"', hook'] \arrow[rd, "\phi", hook] &  \\
+		R\left\lbrack\frac{1}{r}\right\rbrack \arrow[r, "\exists!F", two heads, dashed, hook] & {\frac{R[x]}{(rx-1)}} \arrow[r, "\exists!G", two heads, dashed, hook] & R\left\lbrack\frac{1}{r}\right\rbrack \\
+		& {R[x]} \arrow[u, "\pi", two heads] \arrow[ru, "g"'] & 
+	\end{tikzcd}
+\end{document}
\ No newline at end of file
diff --git a/Material/templates/standalone_tikz.tex b/Material/templates/standalone_tikz.tex
index 1ad37ca..f34e170 100644
--- a/Material/templates/standalone_tikz.tex
+++ b/Material/templates/standalone_tikz.tex
@@ -1,6 +1,7 @@
 \documentclass{standalone}
 
-\usepackage{tikz}
+
+\usepackage{tikz, amsmath}
 	\usepackage{tikz-qtree}
 	\usetikzlibrary{cd}
 	\usetikzlibrary{arrows}
@@ -11,6 +12,7 @@
 	\usetikzlibrary{matrix}
 	\usetikzlibrary{positioning}
 	\usetikzlibrary{shapes.geometric}
+	\usetikzlibrary{arrows.meta,bending}
 
 \begin{document}
 	\begin{tikzcd}