[Tex/LaTex] Easiest way to draw a 3d coordinate system with axis labels and ticks in tikz

3dtikz-pgf

What's the easiest way to draw a 3d coordinate system in tikz with axis labels and ticks like the following one:

Example

Is there any additional package which does this (with adjustable parameters)?

Best Answer

I used the xyz coordinate system:

\documentclass{article}
\usepackage{amsmath}
\usepackage{tikz}
\usetikzlibrary{arrows}

\begin{document}

\begin{tikzpicture}[x=0.5cm,y=0.5cm,z=0.3cm,>=stealth]
% The axes
\draw[->] (xyz cs:x=-13.5) -- (xyz cs:x=13.5) node[above] {$x$};
\draw[->] (xyz cs:y=-13.5) -- (xyz cs:y=13.5) node[right] {$z$};
\draw[->] (xyz cs:z=-13.5) -- (xyz cs:z=13.5) node[above] {$y$};
% The thin ticks
\foreach \coo in {-13,-12,...,13}
{
  \draw (\coo,-1.5pt) -- (\coo,1.5pt);
  \draw (-1.5pt,\coo) -- (1.5pt,\coo);
  \draw (xyz cs:y=-0.15pt,z=\coo) -- (xyz cs:y=0.15pt,z=\coo);
}
% The thick ticks
\foreach \coo in {-10,-5,5,10}
{
  \draw[thick] (\coo,-3pt) -- (\coo,3pt) node[below=6pt] {\coo};
  \draw[thick] (-3pt,\coo) -- (3pt,\coo) node[left=6pt] {\coo};
  \draw[thick] (xyz cs:y=-0.3pt,z=\coo) -- (xyz cs:y=0.3pt,z=\coo) node[below=8pt] {\coo};
}
% Dashed lines for the points P, Q
\draw[dashed] 
  (xyz cs:z=-5) -- 
  +(0,7) coordinate (u) -- 
  (xyz cs:y=7) -- 
  +(-5,0) -- 
  ++(xyz cs:x=-5,z=-5) coordinate (v) --
  +(0,-7) coordinate (w) --
  cycle;
\draw[dashed] (u) -- (v);
\draw[dashed] (-5,7) -- (-5,0) -- (w);
\draw[dashed] (3,0) |- (0,5);

% Dots and labels for P, Q
\node[fill,circle,inner sep=1.5pt,label={left:$Q(-5,-5,7)$}] at (v) {};
\node[fill,circle,inner sep=1.5pt,label={above:$P(3,0,5)$}] at (3,5) {};
% The origin
\node[align=center] at (3,-3) (ori) {(0,0,0)\\\text{origin}};
\draw[->,help lines,shorten >=3pt] (ori) .. controls (1,-2) and (1.2,-1.5) .. (0,0,0);
\end{tikzpicture}

\end{document}

enter image description here

Related Solutions

[Tex/LaTex] the easiest way to draw a 3D cube with TikZ

I'm sure that there are better ways, but here's one:

\documentclass{article}
\usepackage{tikz}
\begin{document}
\begin{tikzpicture}
\pgfmathsetmacro{\cubex}{2}
\pgfmathsetmacro{\cubey}{1}
\pgfmathsetmacro{\cubez}{1}
\draw[red,fill=yellow] (0,0,0) -- ++(-\cubex,0,0) -- ++(0,-\cubey,0) -- ++(\cubex,0,0) -- cycle;
\draw[red,fill=yellow] (0,0,0) -- ++(0,0,-\cubez) -- ++(0,-\cubey,0) -- ++(0,0,\cubez) -- cycle;
\draw[red,fill=yellow] (0,0,0) -- ++(-\cubex,0,0) -- ++(0,0,-\cubez) -- ++(\cubex,0,0) -- cycle;
\end{tikzpicture}
\end{document}

enter image description here

[Tex/LaTex] How to rotate around arbitrary axis in XYZ coordinate system

In my opinion, you are using a too powerful tool for a relatively simpler task. The canvas transformations simply don't care about any other settings like bounding boxes or any other high level constraints. They just happen. Instead, you can modify the default vertical shadings such that they obey the shading angle option. I've randomly rotated the shading below with 45, 120, and -45 degrees hoping that it was the reason for the question :)

\documentclass{article}
\usepackage{tikz}
\usetikzlibrary{calc}

\makeatletter
\tikzoption{top color}{%
  \pgfutil@colorlet{tikz@axis@top}{#1}%
  \pgfutil@colorlet{tikz@axis@middle}{tikz@axis@top!50!tikz@axis@bottom}%
  \def\tikz@shading{axis}\tikz@addmode{\tikz@mode@shadetrue}}
\tikzoption{bottom color}{%
  \pgfutil@colorlet{tikz@axis@bottom}{#1}%
  \pgfutil@colorlet{tikz@axis@middle}{tikz@axis@top!50!tikz@axis@bottom}%
  \def\tikz@shading{axis}\tikz@addmode{\tikz@mode@shadetrue}}
\tikzoption{middle color}{%
  \pgfutil@colorlet{tikz@axis@middle}{#1}%
  \def\tikz@shading{axis}\tikz@addmode{\tikz@mode@shadetrue}}
\makeatother


%: isometric  South West (-150): Y , East : X , North : Z
\tikzset{isometricYXZ/.style={x={(1cm,0cm)}, y={(-1.299cm,-0.75cm)}, z={(0cm,1cm)}}}

\begin{document}
 \begin{tikzpicture}[inner sep=0.2cm]
  \def \radi{3}
  \def \x{2}
  \def \y{2}
  \def \z{2}

  \begin{scope}[isometricYXZ]
   % the grid
   \begin{scope}[color=gray!50, thin]
    \foreach \xi in {0,...,\radi}{ \draw (\xi,\radi,0) -- (\xi,0,0) -- (\xi,0,\radi); }%
    \foreach \yi in {1,...,\radi}{ \draw (0,\yi,\radi) -- (0,\yi,0) -- (\radi,\yi,0); }%
    \foreach \zi in {0,...,\radi}{ \draw (0,\radi,\zi) -- (0,0,\zi) -- (\radi,0,\zi); }%
   \end{scope}

   \draw[-latex, ultra thick, color=blue] (0,0,0) -- (4,0,0) node[anchor=west] {X};%
   \draw[-latex, ultra thick, color=red] (0,0,0) -- (0,4,0) node[anchor=north] {Y};%
   \draw[-latex, ultra thick, color=green] (0,0,0) -- (0,0,4) node[anchor=east] {Z};%

   \fill[shading angle=45, top color=green!30, bottom color=blue!30] (0,0,0) -- (\x,0,0) -- (\x,\y,0) -- (0,\y,0) -- cycle; %
   \fill[shading angle=-45, top color=green!30, bottom color=blue!30] (0,0,0) -- (0,0,\z) -- (0,\y,\z) -- (0,\y,0) -- cycle; %
   \fill[shading angle=120, top color=green!30, bottom color=blue!30] (0,0,0) -- (\x,0,0) -- (\x,0,\z) -- (0,0,\z) -- cycle;

   \draw[color=gray, thick]%
   (0,\y,\z) -- (\x,\y,\z) -- (\x,\y,0) (\x,\y,\z) -- (\x,0,\z);%
  \end{scope}

  \shade[ball color=yellow] ($\y*(-1.299cm,-0.75cm)+(\x,\z)$) circle (0.1);%
 \end{tikzpicture}
\end{document}

enter image description here

I guess the reason for the shading angle disabled (set to zero) originally is to get the other transformations invalid at the time of shading declaration. You can make these changes local if you have other TikZ pictures that use these options.

Best Answer

Related Solutions

[Tex/LaTex] the easiest way to draw a 3D cube with TikZ

[Tex/LaTex] How to rotate around arbitrary axis in XYZ coordinate system

Related Question