LaTeX:Diagrams
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Diagrams and Figures
We don't rely on Asymptote for drawing diagrams and figures because 
does not have the ability to output good diagrams for geometry and other subjects. However, does work well with Asymptote.
Integer coordinates inside a cube of sidelength 6
![[asy] usepackage("tikz"); label("\begin{tikzpicture}[domain=0:6,x=5mm,y=5mm,z=2.5mm] %\draw (0,0) grid (5,5); \foreach \i in {0,...,6}{ \foreach \z in {0,...,6}{ \foreach \m in {0,...,6}{ \node[red] at (\i ,(\m ,\z ) {\textbullet }; ); \node[red] at (\m ,(\i ,\z ) {\textbullet }; ); \node[blue] at (\z , (\i ,\m ) {\textbullet }; ); }; }; } \draw (0,0)--(0,6); \draw (0,0)--(6,0); \draw plot (6,(0,\x);); \draw plot (7,(6,\x);); \draw plot (0,(6,\x);); \draw (0,6)--(6,6); \draw (6,0)--(6,6); \end{tikzpicture}"); [/asy]](http://latex.artofproblemsolving.com/c/8/9/c8966ba253f84b286df39efc5258cc003da3ebd3.png)
