added first asymptote example

asymptote/topology-r-spiral-covering-s/Makefile

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+SOURCE = topology-r-spiral-covering-s
+DELAY = 80
+DENSITY = 300
+WIDTH = 512
+
+make:
+	pdflatex $(SOURCE).tex -output-format=pdf
+	asy $(SOURCE)-*.asy
+	asy $(SOURCE)-*.asy
+	pdflatex $(SOURCE).tex -output-format=pdf
+	make clean
+
+clean:
+	rm -rf  $(TARGET) *.class *.html *.log *.aux *.data *.gnuplot *.out *.prc *.pre *.asy
+
+gif:
+	pdfcrop $(SOURCE).pdf
+	convert -verbose -delay $(DELAY) -loop 0 -density $(DENSITY) $(SOURCE)-crop.pdf $(SOURCE).gif
+	make clean
+
+png:
+	make
+	make svg
+	inkscape $(SOURCE).svg -w $(WIDTH) --export-png=$(SOURCE).png
+
+transparentGif:
+	convert $(SOURCE).pdf -transparent white result.gif
+	make clean
+
+svg:
+	#inkscape $(SOURCE).pdf --export-plain-svg=$(SOURCE).svg
+	pdf2svg $(SOURCE).pdf $(SOURCE).svg
+	# Necessary, as pdf2svg does not always create valid svgs:
+	inkscape $(SOURCE).svg --export-plain-svg=$(SOURCE).svg

asymptote/topology-r-spiral-covering-s/Readme.md

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+Compiled example
+----------------
+![Example](topology-r-spiral-covering-s.png)
+
+Credits
+-------
+
+This graph was created by [Alex](http://tex.stackexchange.com/users/22467/alex) ([source](http://tex.stackexchange.com/a/149706/5645))

asymptote/topology-r-spiral-covering-s/topology-r-spiral-covering-s.tex

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+\documentclass{standalone}
+\usepackage{asymptote}
+
+\begin{document}
+
+\begin{asy}[width=10cm,height=10cm]
+import graph3;
+
+usepackage("amsfonts");
+
+size3(200);
+
+currentprojection=orthographic(4,6,3);
+
+// parametrization
+real x(real t) {return cos(2pi*t);}
+real y(real t) {return sin(2pi*t);}
+real z(real t) {return 0.5*t;}
+real z0(real t) {return 0;}
+
+scale(true);
+
+// some parameters
+real delta = 0.01;
+real phix = 0.1;
+real phim = 6.7;
+
+// spiral
+path3 spiral = graph(x,y,z,1,phim,operator ..);
+draw(spiral,Arrow3);
+
+// blue circle
+draw(unitcircle3, blue);
+
+// orange segments
+pen sp = orange+1;
+
+draw(graph(x,y,z0,phix-delta,phix+delta,operator ..),sp);
+for(real i=1; i<phim; ++i) {
+  draw(graph(x,y,z,i+phix-delta,i+phix+delta,operator ..),sp);
+}
+
+// the dot x
+triple px = (x(phix),y(phix),0);
+dot(px);
+label("$x$",px,S);
+
+// axes and labels
+xaxis3("",red);
+yaxis3("",red);
+zaxis3("",red);
+
+label("$\mathbb{R}$",(1,-1,4));
+
+draw((-1,1,4)--(-1,1,1),Arrow3);
+label("$p$",(-1,1,2.5),E);
+
+label("$S^1$",(-1,1,0),W,blue);
+\end{asy}
+
+\end{document}

tikz/commutative-diagram-2/Makefile

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+SOURCE = commutative-diagram-2
+DELAY = 80
+DENSITY = 300
+WIDTH = 500
+
+make:
+	pdflatex $(SOURCE).tex -output-format=pdf
+	pdflatex $(SOURCE).tex -output-format=pdf
+	make clean
+
+clean:
+	rm -rf  $(TARGET) *.class *.html *.log *.aux
+
+gif:
+	pdfcrop $(SOURCE).pdf
+	convert -verbose -delay $(DELAY) -loop 0 -density $(DENSITY) $(SOURCE)-crop.pdf $(SOURCE).gif
+	make clean
+
+png:
+	make
+	make svg
+	inkscape $(SOURCE).svg -w $(WIDTH) --export-png=$(SOURCE).png
+
+transparentGif:
+	convert $(SOURCE).pdf -transparent white result.gif
+	make clean
+
+svg:
+	#inkscape $(SOURCE).pdf --export-plain-svg=$(SOURCE).svg
+	pdf2svg $(SOURCE).pdf $(SOURCE).svg
+	# Necessary, as pdf2svg does not always create valid svgs:
+	inkscape $(SOURCE).svg --export-plain-svg=$(SOURCE).svg

tikz/commutative-diagram-2/Readme.md

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+Compiled example
+----------------
+![Example](commutative-diagram-2.png)

tikz/commutative-diagram-2/commutative-diagram-2.tex

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+\documentclass{article}
+\usepackage[pdftex,active,tightpage]{preview}
+\setlength\PreviewBorder{2mm}
+\usepackage{tikz}
+\usetikzlibrary{arrows,positioning,fit,shapes} 
+
+\begin{document}
+\begin{preview}
+\begin{tikzpicture}[scale=1,node distance=2.0cm]
+    \node (Z) at (0,0) {$Z$};
+    \node (Y) at (3,0) {$Y$};
+    \node (X) at (1.5,-1.5) {$X$};
+    \draw[->, above, dashed] (Z) to node {$\tilde{f}$} (Y);
+    \draw[->, below] (Z)  to node {$f$} (X);
+    \draw[->, right] (Y)  to node {$p$} (X);
+
+    \begin{scope}[xshift=1.3cm,yshift=-0.6cm]
+        \draw (0,0) -- (0.3,0.3);
+        \draw (0.1,0) -- (0.4,0.3);
+        \draw (0.2,0) -- (0.5,0.3);
+    \end{scope}
+\end{tikzpicture}
+\end{preview}
+\end{document}