diff --git a/tikz/number-ray-circle-topology/Makefile b/tikz/number-ray-circle-topology/Makefile new file mode 100644 index 0000000..734de90 --- /dev/null +++ b/tikz/number-ray-circle-topology/Makefile @@ -0,0 +1,31 @@ +SOURCE = number-ray-circle-topology +DELAY = 80 +DENSITY = 300 +WIDTH = 512 + +make: + pdflatex $(SOURCE).tex -output-format=pdf + make clean + +clean: + rm -rf $(TARGET) *.class *.html *.log *.aux *.data *.gnuplot + +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 diff --git a/tikz/number-ray-circle-topology/Readme.md b/tikz/number-ray-circle-topology/Readme.md new file mode 100644 index 0000000..34d312c --- /dev/null +++ b/tikz/number-ray-circle-topology/Readme.md @@ -0,0 +1,3 @@ +Compiled example +---------------- +![Example](number-ray-circle-topology.png) diff --git a/tikz/number-ray-circle-topology/number-ray-circle-topology.png b/tikz/number-ray-circle-topology/number-ray-circle-topology.png new file mode 100644 index 0000000..4931100 Binary files /dev/null and b/tikz/number-ray-circle-topology/number-ray-circle-topology.png differ diff --git a/tikz/number-ray-circle-topology/number-ray-circle-topology.tex b/tikz/number-ray-circle-topology/number-ray-circle-topology.tex new file mode 100644 index 0000000..e3dcb62 --- /dev/null +++ b/tikz/number-ray-circle-topology/number-ray-circle-topology.tex @@ -0,0 +1,46 @@ +\documentclass[varwidth=true, border=2pt]{standalone} +\usepackage{amsmath,amssymb} +\usepackage{pgfplots} +\usepackage{tikz} +\usepackage{tkz-fct} +\usetikzlibrary{shapes.misc} + +\begin{document} +\tikzset{ + point/.style={ + thick, + draw=gray, + cross out, + inner sep=0pt, + minimum width=4pt, + minimum height=4pt, + }, +} +\begin{tikzpicture} + + \draw[->] (-1.5,0) -- (5.5,0) node [below] {$\mathbb{R}$}; + + \foreach \x in {-1,...,5} + \draw (\x,0.1) -- (\x,-0.1) node [below] {\x}; + + \foreach \x in {-1,...,4} { + \draw[red] (\x+0.6,0.01) -- (\x+0.6,-0.14) node [below] {}; + \draw[red] (\x+1.2,0.01) -- (\x+1.2,-0.14) node [below] {}; + \draw[red] (\x+0.6,-0.07) -- (\x+1.2,-0.07) node [below] {}; + } + + \begin{scope}[shift={(0,-2)}] + \draw[thick] (0cm,0cm) circle(1cm); + \draw[thick, red] ([shift={(216:1cm)}]-0.0,0) arc (216:-72:1cm); + \draw (0:1cm) node[point, label={[right]{$0$}}] {}; + \path node[point, blue, label={[blue,above]{$\overline{a}$}}] (posU) at (-252:1cm) {}; + \path node[label={[red,left]{$U$}}] at (30:1cm) {}; + \end{scope} + \draw (3.7cm,0cm) node[point, blue, label={[blue,above]{$a$}}] (posA) {}; + \draw (0.7cm,0cm) node[point, blue, label={[blue,above]{$\pi^{-1}(u)$}}] {}; + \draw[dashed, blue, thick] plot [smooth] coordinates{(posU) (0.2,-0.8) (2.5,-1) (posA)}; + + \draw[blue, dashed, thick] (3.7cm,0cm) arc (0:180:1.5 and 0.5); + +\end{tikzpicture} +\end{document}