Graphics, Figures & Tables ⇒ plot curve

[ditka]

Ok, I did not know that I shoud look at paterns, I only look at fill option.

As with the picture, I know I can plot polar plots, but the problam now is with coordinate axis. The best with that I can come is:(see atrachment)


So can I center the picture in coordinate system or is possibly to manipilate with default polar axis so that they will look like this?

Code: Select all

    \documentclass[11pt]{standalone}
    \usepackage[T1]{fontenc}
    \usepackage{pgfplots}
    \usepgfplotslibrary{polar}
    \usetikzlibrary{patterns}

    \begin{document}
      \begin{tikzpicture}[>=stealth]
   \draw[->] (-4,0) -- (4,0) node[right] {$x$};
    \draw[->] (0,-4) -- (0,4) node[above] {$y$};
        \begin{polaraxis}[hide axis]
          \addplot+[pattern=dots,pattern color=blue,mark=none,domain=0:360,samples=300]{cos(4*x)};
        \end{polaraxis}
      \end{tikzpicture}
    \end{document}

[cgnieder]

If you plot graphs with pgfplots then you also should plot the axes with pgfplots and not by drawing them with TikZ directly. Look at my previous post. There you should be able to see how can add the axes.

Regards

[ditka]

Code: Select all

   \documentclass[11pt]{article}
    \usepackage[T1]{fontenc}
    \usepackage{pgfplots}
    \usepgfplotslibrary{polar}
    \usetikzlibrary{patterns}
    \begin{document}
    \begin{tikzpicture}
     \begin{polaraxis}[
       ticks=none,
       axis y line=center,
       axis x line=middle,
       axis on top,
       domain=0:2*pi]
         \addplot+[pattern=dots,pattern color=blue,mark=none,domain=0:360,samples=300]{cos(4*x)};
     \end{polaraxis}
    \end{tikzpicture}
    \end{document}

I know this is perhaps a little nonatural, but I woud like a cartesian coordinates for polar plots. Is that even possible?


And filling with points, I see now in manual, but what abaut filling with lines? Is that possible?(I gues it migt be done manualy, but since this is wery non practicaly, is there a better way to do it?

[localghost]

[…] I know this is perhaps a little nonatural, but I woud like a cartesian coordinates for polar plots. Is that even possible? […]

In my opinion simply nonsense.

[…] And filling with points, I see now in manual, but what abaut filling with lines? Is that possible?(I gues it migt be done manualy, but since this is wery non practicaly, is there a better way to do it?

Filling with lines is described in exactly the same section as the filling with dots. The patterns library has its own section which you can find by the ToC of the manual.

[ditka]

[…] I know this is perhaps a little nonatural, but I woud like a cartesian coordinates for polar plots. Is that even possible? […]

In my opinion simply nonsense.

[…] And filling with points, I see now in manual, but what abaut filling with lines? Is that possible?(I gues it migt be done manualy, but since this is wery non practicaly, is there a better way to do it?

Filling with lines is described in exactly the same section as the filling with dots. The patterns library has its own section which you can find by the ToC of the manual.

I see the filing in tikz manual, I was looking in pgfplost before.

Abaut coordinate axis: I relly do not think this in nonsense. In the attacment there is example from Stewart calculus, where there is a simple coordinate system. So is it posible to do something like that?

[localghost]

OK. What you need is a parametrization (for all your plots you want to do like this). Then the coordinate system is indeed Cartesian. But this has few to do with polar plots.

Code: Select all

\documentclass[11pt]{standalone}
\usepackage[T1]{fontenc}
\usepackage{tikz}

\begin{document}
  \begin{tikzpicture}[>=stealth]
    \draw[blue] plot[parametric,samples=100,domain=0:6.2832] function {sin(t)*(1+cos(t)),cos(t)*(1+cos(t))};
    \draw[->] (-2.5,0) -- (2.5,0) node[right] {$x$};
    \draw[->] (0,-2.5) -- (0,2.5) node[above] {$y$};
  \end{tikzpicture}
\end{document}

It goes without saying that pgfplots simplifies such plots (but always draws or hides all axes, nothing in between).

[cgnieder]

pgfplots allows to to access the coordinate system of the axis that you're using, see section 4.16 of the manual.

Code: Select all

\documentclass[11pt]{article}
\usepackage[T1]{fontenc}
\usepackage{pgfplots}
\usepgfplotslibrary{polar}
\usetikzlibrary{patterns}

\begin{document}

\begin{tikzpicture}[>=stealth]
  \begin{polaraxis}[hide axis]
    \addplot+[pattern=dots,pattern color=blue,mark=none,domain=0:360,samples=300]{cos(4*x)};
    \draw[->] (axis cs:180,1.1) -- (axis cs:0,1.1) coordinate (x) ;
    \draw[->] (axis cs:-90,1.1) -- (axis cs:90,1.1) coordinate (y) ;
  \end{polaraxis}
  \node[right] at (x) {$x$};
  \node[above] at (y) {$y$};
\end{tikzpicture}

\end{document}

axiscs.png (18.02 KiB) Viewed 7328 times

Regards

[ditka]

Ok. Thank you both very much for your answers. This solve my plotting problems.