Using Tikzmagic
TIKZ is a great language for producing vector graphics. It is however a bit tedious to go over the whole $\LaTeX$-like compilation when you get used to an ipython notebooks work-flow.
I describe here how to use a cell magic implemented by http://www2.ipp.mpg.de/~mkraus/python/tikzmagic.py and a hack to use euclide within the graph (as implemented in https://github.com/laurentperrinet/ipython_magics).
Installation¶
In [1]:
%install_ext https://raw.githubusercontent.com/laurentperrinet/ipython_magics/master/tikzmagic.py
In [2]:
%load_ext tikzmagic
### basic usage
In [3]:
%tikz \draw (0,0) rectangle (1,1);
In [4]:
%%tikz -s 400,400 -sc 1.2 -f png
\draw [style=help lines, step=2] (-1,-1) grid (+7,+7);
\draw [line width=0.5mm, fill=blue!40!white] (+2,+2) rectangle (+4,+4);
\draw [blue!60!white] ( 2, 2) node[anchor=north east] {$(i ,j )$};
\draw [blue!60!white] ( 4, 2) node[anchor=north west] {$(i+1,j )$};
\draw [blue!60!white] ( 4, 4) node[anchor=south west] {$(i+1,j+1)$};
\draw [blue!60!white] ( 2, 4) node[anchor=south east] {$(i ,j+1)$};
\filldraw [color=gray] (0,0) circle (.1);
\filldraw [color=gray] (0,2) circle (.1);
\filldraw [color=gray] (0,4) circle (.1);
\filldraw [color=gray] (0,6) circle (.1);
\filldraw [color=gray] (2,0) circle (.1);
\filldraw [color=black] (2,2) circle (.1);
\filldraw [color=black] (2,4) circle (.1);
\filldraw [color=gray] (2,6) circle (.1);
\filldraw [color=gray] (4,0) circle (.1);
\filldraw [color=black] (4,2) circle (.1);
\filldraw [color=black] (4,4) circle (.1);
\filldraw [color=gray] (4,6) circle (.1);
\filldraw [color=gray] (6,0) circle (.1);
\filldraw [color=gray] (6,2) circle (.1);
\filldraw [color=gray] (6,4) circle (.1);
\filldraw [color=gray] (6,6) circle (.1);
now with euclide¶
In [5]:
%%tikz -s 800,400 -sc 1.2 -f png
\tkzInit[xmax=13, ymax=8]
\tkzDefPoint(2.95, 2.25){A}
\tkzDefPoint(11,5.25){B}
\tkzLabelPoints[above left](A,B)
\tkzDefPoint(10, 2.25){C}
% draw red dots at the center of edges
\tkzDrawPoints[size=10, color=red, fill=red](A,B)
%----------------------------------------------------------
% Drawing the lines and segments
%----------------------------------------------------------
\tkzDrawLine[color=red,line width=2pt, add=-1.15 and -.15 ](C,A)
\tkzDrawLine[color=red,line width=2pt, add=-1.3 and -.3 ](C,B)
\tkzDrawLine(A,B)
\tkzDrawLines[dashed](A,C B,C)
% drawing arcs for angles
\tkzMarkAngle[size=2.5,mkpos=.2](C,A,B)
\tkzLabelAngle[pos=3.5,circle](C,A,B){$\mathsf{\phi}$}
\tkzDefPointWith[linear,K=1.5](A,C)
\tkzGetPoint{D}
\tkzDefPointWith[linear,K=.75](B,C)
\tkzGetPoint{E}
\tkzMarkAngle[size=1,mkpos=.2](D,C,E)
\tkzLabelAngle[pos=1.75,circle](D,C,E){$\mathsf{\theta}$}
To crop the image, I use the \pgfresetboundingbox directive
In [6]:
%%tikz -s 800,400 -sc 1.2 -f png
\tkzInit[xmax=13, ymax=8]
\tkzDefPoint(2.95, 2.25){A}
\tkzDefPoint(11,5.25){B}
\tkzLabelPoints[above left](A,B)
\tkzDefPoint(10, 2.25){C}
% draw red dots at the center of edges
\tkzDrawPoints[size=10, color=red, fill=red](A,B)
%----------------------------------------------------------
% Drawing the lines and segments
%----------------------------------------------------------
\tkzDrawLine[color=red,line width=2pt, add=-1.15 and -.15 ](C,A)
\tkzDrawLine[color=red,line width=2pt, add=-1.3 and -.3 ](C,B)
\tkzDrawLine(A,B)
\tkzDrawLines[dashed](A,C B,C)
% drawing arcs for angles
\tkzMarkAngle[size=2.5,mkpos=.2](C,A,B)
\tkzLabelAngle[pos=3.5,circle](C,A,B){$\mathsf{\phi}$}
\tkzDefPointWith[linear,K=1.5](A,C)
\tkzGetPoint{D}
\tkzDefPointWith[linear,K=.75](B,C)
\tkzGetPoint{E}
\tkzMarkAngle[size=1,mkpos=.2](D,C,E)
\tkzLabelAngle[pos=1.75,circle](D,C,E){$\mathsf{\theta}$}
\pgfresetboundingbox
\path(5, 1) rectangle (13, 8);
My full diagram¶
with as an option, a way to save it in SVG format:
In [7]:
%%tikz -f svg -s 800,500 --save /tmp/diagram.svg
%\fill[white,fill opacity=.9] (0, 1.2) rectangle (13, 8);
%\tkzInit[xmax=13, ymax=8]
%----------------------------------------------------------
% Defining coordinates
%----------------------------------------------------------
\tkzDefPoint(2.95, 2.25){A}
\tkzDefPoint(11,5.25){B}
\tkzLabelPoints[above left](A,B)
% \tkzLabelPoints[below right](B)
\tkzDefPoint(10, 2.25){C}
% draw red dots at the center of edges
\tkzDrawPoints[size=10, color=red, fill=red](A,B)
%----------------------------------------------------------
% Drawing the lines and segments
%----------------------------------------------------------
\tkzDrawLine[color=red,line width=2pt, add=-1.15 and -.15 ](C,A)
\tkzDrawLine[color=red,line width=2pt, add=-1.3 and -.3 ](C,B)
\tkzDrawLine(A,B)
\tkzDrawLines[dashed](A,C B,C)
% drawing arcs for angles
\tkzMarkAngle[size=2.5,mkpos=.2](C,A,B)
\tkzLabelAngle[pos=3.5,circle](C,A,B){$\mathsf{\phi}$}
\tkzDefPointWith[linear,K=1.5](A,C)
\tkzGetPoint{D}
\tkzDefPointWith[linear,K=.75](B,C)
\tkzGetPoint{E}
\tkzMarkAngle[size=1,mkpos=.2](D,C,E)
\tkzLabelAngle[pos=1.75,circle](D,C,E){$\mathsf{\theta}$}
%----------------------------------------------------------
% Drawing normals
%----------------------------------------------------------
\tkzDefLine[perpendicular=through A, K=-.75](C,A)
\tkzGetPoint{a1}
\tkzDefLine[perpendicular=through B, K=2.5](C,B)
\tkzGetPoint{b1}
\tkzInterLL(a1,A)(b1,B) \tkzGetPoint{H}
\tkzMarkRightAngle[size=.5](H,A,C)
\tkzMarkRightAngle[size=.5](H,B,C)
\tkzDrawLines[dashed,dash phase=1.5pt](a1,A)
\tkzDrawLines[dashed,dash phase=0.5pt](b1,B)
%----------------------------------------------------------
% Drawing mediator and psi line
%----------------------------------------------------------
% \tkzDefLine[mediator](A,B) \tkzGetPoints{m1}{M}
\tkzDefMidPoint(A,B)
\tkzGetPoint{M}
\tkzDefLine[perpendicular=through M, K=.4](A,B)
\tkzGetPoint{m1}
\tkzMarkRightAngle[size=.5](B,M,m1)
\tkzFillAngle[size=1.4,fill=blue!40](m1,M,H)
\tkzLabelAngle[pos=2,circle](m1,M,H){$\mathsf{\psi}$}%= \phi -\theta/2
\tkzDrawLines[](m1,M M,H)
\pgfresetboundingbox
\path(1, 1) rectangle (13, 9);
In [8]:
from IPython.display import Image, SVG
SVG(filename="/tmp/diagram.svg")
Out[8]:
Beautiful!