From 85810e1f487d6c9ecdcf79bfbd62a4e00dbf2292 Mon Sep 17 00:00:00 2001 From: Martin Thoma Date: Tue, 19 Nov 2013 16:37:45 +0100 Subject: [PATCH] spherical coordinates --- tikz/spherical-coordinates/Makefile | 31 ++++ tikz/spherical-coordinates/Readme.md | 3 + .../spherical-coordinates.png | Bin 0 -> 72172 bytes .../spherical-coordinates.tex | 159 ++++++++++++++++++ 4 files changed, 193 insertions(+) create mode 100644 tikz/spherical-coordinates/Makefile create mode 100644 tikz/spherical-coordinates/Readme.md create mode 100644 tikz/spherical-coordinates/spherical-coordinates.png create mode 100644 tikz/spherical-coordinates/spherical-coordinates.tex diff --git a/tikz/spherical-coordinates/Makefile b/tikz/spherical-coordinates/Makefile new file mode 100644 index 0000000..e2c2fbe --- /dev/null +++ b/tikz/spherical-coordinates/Makefile @@ -0,0 +1,31 @@ +SOURCE = spherical-coordinates +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/spherical-coordinates/Readme.md b/tikz/spherical-coordinates/Readme.md new file mode 100644 index 0000000..86b606d --- /dev/null +++ b/tikz/spherical-coordinates/Readme.md @@ -0,0 +1,3 @@ +Compiled example +---------------- +![Example](spherical-coordinates.png) diff --git a/tikz/spherical-coordinates/spherical-coordinates.png 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ztcI`n$l7}}svnj{z74b`9iJO#DL<&cAPivh0Tg$(D<)fy9d*%W#2?%k(%kKB)kQN3u;yDyguEKcI8eE8{{>mgg) zo`C&RTd9n33A}1H`Kr;)_8sr}f{shB|1DVcZhQ0x^N=2!4V;Ib8D|CmP}rrJVx;xJ zm~pj5+PIW5DW-B3@p80F-C>+;I^ z6oszF`km6nOSBRJu7bzcbScnEo!hht9pZ}gk@LZ~S!c#-jJM;rwgylLF>{X6W#);Ho{+-#yC@#6H-`^$v*o8d z1?TtWvT8`L609m*oD~TPLa=Oke|On~B)RGFC#Jy|?g}G9ooy?#XwYN>}`V!b{^Zn!Jtt%|DtSRL?;qUMY8^K=gtS4Qat*6jprhoZs8Ll5T{ek))Ti5 zgw*hcITPoc9F1uj+;8s$$Wz1^{OokU0fo^$ZLZU&31Rl}dn^kHa`I0SqQ$8U>XyAL z=~O+1kRbMP>S*bh+AZ%$!j|O=latex, + inner sep=0pt,% + outer sep=2pt,% + mark coordinate/.style={inner sep=0pt,outer sep=0pt,minimum size=3pt, + fill=black,circle}% +} +\usepackage{amsmath} +\usetikzlibrary{arrows} +\pagestyle{empty} +\usepackage{pgfplots} +\usetikzlibrary{calc,fadings,decorations.pathreplacing} + +\begin{document} +\begin{tikzpicture}[scale=1,every node/.style={minimum size=1cm}] +%% some definitions + +\def\R{4} % sphere radius + +\def\angEl{25} % elevation angle +\def\angAz{-100} % azimuth angle +\def\angPhiOne{-50} % longitude of point P +\def\angPhiTwo{-35} % longitude of point Q +\def\angBeta{30} % latitude of point P and Q + +%% working planes + +\pgfmathsetmacro\H{\R*cos(\angEl)} % distance to north pole +\LongitudePlane[xzplane]{\angEl}{\angAz} +\LongitudePlane[pzplane]{\angEl}{\angPhiOne} +\LongitudePlane[qzplane]{\angEl}{\angPhiTwo} +\LatitudePlane[equator]{\angEl}{0} +\fill[ball color=white!10] (0,0) circle (\R); % 3D lighting effect +\coordinate (O) at (0,0); +\coordinate[mark coordinate] (N) at (0,\H); +\coordinate[mark coordinate] (S) at (0,-\H); +\path[xzplane] (\R,0) coordinate (XE); + +%defining points outsided the area bounded by the sphere +\path[qzplane] (\angBeta:\R+5.2376) coordinate (XEd); +\path[pzplane] (\angBeta:\R) coordinate (P);%fino alla sfera +\path[pzplane] (\angBeta:\R+5.2376) coordinate (Pd);%sfora di una quantità pari a 10 dopo la sfera +\path[pzplane] (\angBeta:\R+5.2376) coordinate (Td);%sfora di una quantità pari a 10 dopo la sfera +\path[pzplane] (\R,0) coordinate (PE); +\path[pzplane] (\R+4,0) coordinate (PEd); +\path[qzplane] (\angBeta:\R) coordinate (Q); +\path[qzplane] (\angBeta:\R) coordinate (Qd);%sfora di una quantità pari a 10 dopo la sfera + +\path[qzplane] (\R,0) coordinate (QE); +\path[qzplane] (\R+4,0) coordinate (QEd);%sfora di una quantità 10 dalla sfera sul piano equat. + + +\DrawLongitudeCircle[\R]{\angPhiOne} % pzplane +\DrawLongitudeCircle[\R]{\angPhiTwo} % qzplane +\DrawLatitudeCircle[\R]{\angBeta} +\DrawLatitudeCircle[\R]{0} % equator +%labelling north and south +\node[above=8pt] at (N) {$\mathbf{N}$}; +\node[below=8pt] at (S) {$\mathbf{S}$}; + +\draw[-,dashed, thick] (N) -- (S); +\draw[->] (O) -- (P); +\draw[dashed] (XE) -- (O) -- (PE); +\draw[dashed] (O) -- (QE); + +\draw[pzplane,->,thin] (0:0.5*\R) to[bend right=15] + node[midway,right] {$v$} (\angBeta:0.5*\R); +\path[pzplane] (0.5*\angBeta:\R) node[right] {$$}; +\path[qzplane] (0.5*\angBeta:\R) node[right] {$$}; +\draw[equator,->,thin] (\angAz:0.5*\R) to[bend right=30] + node[pos=0.4,above] {$u$} (\angPhiOne:0.5*\R); + +\end{tikzpicture} +\end{document}