netgen/doc/element_types.tex

\documentclass[convert=pdf2svg]{standalone}
% \documentclass{article}

\usepackage[T1]{fontenc}
\usepackage{lmodern}
\renewcommand{\familydefault}{\sfdefault}
\usepackage{tikz}
\usepackage{tikz-3dplot}
\usetikzlibrary{external}
\tikzset{external/force remake}
\tikzset{external/disable dependency files}
\tikzset{external/aux in dpth={false}}
% uncomment this to generate a figure for each cell type (and change documentclass to article)
% \tikzexternalize

\tikzstyle{vertex} = [circle,draw=black,fill=black,scale = 0.5]
\tdplotsetmaincoords{70}{110}

% cnode(tag,x,y,z,label,label_pos)
\def\cnode(#1,#2,#3,#4,#5,#6){
\node (#1) at (#2,#3,#4) [vertex,label=#6:$\mathsf{#5}$] {};
}

\pagestyle{empty}

\begin{document}

\begin{tabular}{cc}

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
SEGMENT &
SEGMENT3
\\
\tikzsetnextfilename{line}
\begin{tikzpicture}[scale = 2]
\cnode(n0,0,0,0,1,below right);
\cnode(n1,2,0,0,2,below right);
\draw (n0) -- (n1);
\end{tikzpicture}
&
\tikzsetnextfilename{line3}
\begin{tikzpicture}[scale = 2]
\cnode(n0,0,0,0,1,below right);
\cnode(n1,2,0,0,2,below right);
\cnode(n2,1,0,0,3,below right);
\draw (n0) -- (n2) -- (n1);
\end{tikzpicture}
\\[1 em]

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

TRIG &
TRIG6
\\
\tikzsetnextfilename{triangle}
\begin{tikzpicture}[scale = 2]
\cnode(n0,0,0,0,1,below right);
\cnode(n1,2,0,0,2,below right);
\cnode(n2,0,2,0,3,right);
\draw (n0) -- (n1) -- (n2) -- (n0);
\end{tikzpicture}
&
\tikzsetnextfilename{triangle6}
\begin{tikzpicture}[scale = 2]
\cnode(n0,0,0,0,1,below right);
\cnode(n1,2,0,0,2,below right);
\cnode(n2,0,2,0,3,right);
\cnode(n3,1,0,0,6,below right);
\cnode(n4,1,1,0,4,right);
\cnode(n5,0,1,0,5,below right);
\draw (n0) -- (n3) -- (n1) -- (n4) -- (n2) -- (n5) -- (n0);
\end{tikzpicture}
\\[1 em]

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

QUAD &
QUAD8
\\
\tikzsetnextfilename{quad}
\begin{tikzpicture}[scale = 2]
\cnode(n0,0,0,0,1,below right);
\cnode(n1,2,0,0,2,below right);
\cnode(n2,2,2,0,3,below right);
\cnode(n3,0,2,0,4,below right);
\draw (n0) -- (n1) -- (n2) -- (n3) -- (n0);
\end{tikzpicture}
&
\tikzsetnextfilename{quad8}
\begin{tikzpicture}[scale = 2]
\cnode(n0,0,0,0,1,below right);
\cnode(n1,2,0,0,2,below right);
\cnode(n2,2,2,0,3,below right);
\cnode(n3,0,2,0,4,below right);
\cnode(n4,1,0,0,5,below right);
\cnode(n5,2,1,0,8,below right);
\cnode(n6,1,2,0,6,below right);
\cnode(n7,0,1,0,7,below right);
\draw (n0) -- (n4) -- (n1) -- (n5) -- (n2) -- (n6) -- (n3) -- (n7) -- (n0);
\end{tikzpicture}
\\[1 em]

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

TET &
TET10
\\
\tikzsetnextfilename{tetra}
\begin{tikzpicture}[scale = 2, tdplot_main_coords]
\cnode(n0,0,0,0,1,below right);
\cnode(n1,2,0,0,3,below right);
\cnode(n2,0,2,0,2,below right);
\cnode(n3,0,0,2,4,right);
\draw (n0) -- (n1) -- (n2) -- (n0);
\draw (n0) -- (n3);
\draw (n1) -- (n3);
\draw (n2) -- (n3);
\end{tikzpicture}
&
\tikzsetnextfilename{tetra10} % VTK
\begin{tikzpicture}[scale = 2, tdplot_main_coords]
\cnode(n0,0,0,0,1,below right);
\cnode(n1,2,0,0,3,below right);
\cnode(n2,0,2,0,2,below right);
\cnode(n3,0,0,2,4,right);
\cnode(n4,1,0,0,6,below right);
\cnode(n5,1,1,0,8,below right);
\cnode(n6,0,1,0,5,below right);
\cnode(n7,0,0,1,7,below right);
\cnode(n8,1,0,1,10,below right);
\cnode(n9,0,1,1,9,right);
\draw (n0) -- (n4) -- (n1) -- (n5) -- (n2) -- (n6) -- (n0);
\draw (n0) -- (n7) -- (n3);
\draw (n1) -- (n8) -- (n3);
\draw (n2) -- (n9) -- (n3);
\end{tikzpicture}
\\[1 em]

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

PYRAMID &
PYRAMID13
\\
\tikzsetnextfilename{pyramid}
\begin{tikzpicture}[scale = 2, tdplot_main_coords]
\cnode(n0,0,0,0,1,below right);
\cnode(n1,2,0,0,4,below right);
\cnode(n2,2,2,0,3,below right);
\cnode(n3,0,2,0,2,below right);
\cnode(n4,1,1,2,5,right);
\draw (n0) -- (n1) -- (n2) -- (n3) -- (n0);
\draw (n0) -- (n4);
\draw (n1) -- (n4);
\draw (n2) -- (n4);
\draw (n3) -- (n4);
\end{tikzpicture}
&
\tikzsetnextfilename{pyramid13} % VTK != gmsh
\begin{tikzpicture}[scale = 2, tdplot_main_coords]
\cnode(n0,0,0,0,1,below right);
\cnode(n1,2,0,0,4,below right);
\cnode(n2,2,2,0,3,below right);
\cnode(n3,0,2,0,2,below right);
\cnode(n4,1,1,2,5,right);
\cnode(n5,1,0,0,8,below right);
\cnode(n6,2,1,0,7,below right);
\cnode(n7,1,2,0,9,below right);
\cnode(n8,0,1,0,6,below right);
\cnode(n9,0.5,0.5,1,10,below right);
\cnode(n10,1.5,0.5,1,13,below right);
\cnode(n11,1.5,1.5,1,12,below right);
\cnode(n12,0.5,1.5,1,11,right);
\draw (n0) -- (n5) -- (n1) -- (n6) -- (n2) -- (n7) -- (n3) -- (n8) -- (n0);
\draw (n0) -- (n9) -- (n4);
\draw (n1) -- (n10) -- (n4);
\draw (n2) -- (n11) -- (n4);
\draw (n3) -- (n12) -- (n4);
\end{tikzpicture}
\\[1 em]

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

PRISM &
PRISM15
\\
\tikzsetnextfilename{wedge} % gmsh != VTK
\begin{tikzpicture}[scale = 2, tdplot_main_coords]
\cnode(n0,0,0,0,1,below right);
\cnode(n1,2,0,0,3,below right);
\cnode(n2,0,2,0,2,below right);
\cnode(n3,0,0,2,4,below right);
\cnode(n4,2,0,2,6,below right);
\cnode(n5,0,2,2,5,below right);
\draw (n0) -- (n1) -- (n2) -- (n0);
\draw (n3) -- (n4) -- (n5) -- (n3);
\draw (n0) -- (n3);
\draw (n1) -- (n4);
\draw (n2) -- (n5);
\end{tikzpicture}
&
\tikzsetnextfilename{wedge15} % VTK != gmsh
\begin{tikzpicture}[scale = 2, tdplot_main_coords]
\cnode(n0,0,0,0,1,below right);
\cnode(n1,2,0,0,3,below right);
\cnode(n2,0,2,0,2,below right);
\cnode(n3,0,0,2,4,below right);
\cnode(n4,2,0,2,6,below right);
\cnode(n5,0,2,2,5,below right);
\cnode(n6,1,0,0,8,below right);
\cnode(n7,1,1,0,9,below right);
\cnode(n8,0,1,0,7,below right);
\cnode(n9,1,0,2,14,below right);
\cnode(n10,1,1,2,15,below right);
\cnode(n11,0,1,2,13,below right);
\cnode(n12,0,0,1,10,below right);
\cnode(n13,2,0,1,12,below right);
\cnode(n14,0,2,1,11,below right);
\draw (n0) -- (n6) -- (n1) -- (n7) -- (n2) -- (n8) -- (n0);
\draw (n3) -- (n9) -- (n4) -- (n10) -- (n5) -- (n11) -- (n3);
\draw (n0) -- (n12) -- (n3);
\draw (n1) -- (n13) -- (n4);
\draw (n2) -- (n14) -- (n5);
\end{tikzpicture}
\\[1 em]

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
HEX &
HEX20
\\
\tikzsetnextfilename{hexahedron}
\begin{tikzpicture}[scale = 2, tdplot_main_coords]
\cnode(n0,0,0,0,1,below right);
\cnode(n1,2,0,0,4,below right);
\cnode(n2,2,2,0,3,below right);
\cnode(n3,0,2,0,2,below right);
\cnode(n4,0,0,2,5,below right);
\cnode(n5,2,0,2,8,below right);
\cnode(n6,2,2,2,7,below right);
\cnode(n7,0,2,2,6,below right);
\draw (n0) -- (n1) -- (n2) -- (n3) -- (n0);
\draw (n4) -- (n5) -- (n6) -- (n7) -- (n4);
\draw (n0) -- (n4);
\draw (n1) -- (n5);
\draw (n2) -- (n6);
\draw (n3) -- (n7);
\end{tikzpicture}
&
\tikzsetnextfilename{hexahedron20} % VTK != gmsh
\begin{tikzpicture}[scale = 2, tdplot_main_coords]
\cnode(n0,0,0,0,1,below right);
\cnode(n1,2,0,0,4,below right);
\cnode(n2,2,2,0,3,below right);
\cnode(n3,0,2,0,2,below right);
\cnode(n4,0,0,2,5,below right);
\cnode(n5,2,0,2,8,below right);
\cnode(n6,2,2,2,7,below right);
\cnode(n7,0,2,2,6,below right);
\cnode(n8,1,0,0,11,below right);
\cnode(n9,2,1,0,10,below right);
\cnode(n10,1,2,0,12,below right);
\cnode(n11,0,1,0,9,below right);
\cnode(n12,1,0,2,15,below right);
\cnode(n13,2,1,2,14,below right);
\cnode(n14,1,2,2,16,below right);
\cnode(n15,0,1,2,13,below right);
\cnode(n16,0,0,1,17,below right);
\cnode(n17,2,0,1,20,below right);
\cnode(n18,2,2,1,19,below right);
\cnode(n19,0,2,1,18,below right);
\draw (n0) -- (n8) -- (n1) -- (n9) -- (n2) -- (n10) -- (n3) -- (n11) -- (n0);
\draw (n4) -- (n12) -- (n5) -- (n13) -- (n6) -- (n14) -- (n7) -- (n15) -- (n4);
\draw (n0) -- (n16) -- (n4);
\draw (n1) -- (n17) -- (n5);
\draw (n2) -- (n18) -- (n6);
\draw (n3) -- (n19) -- (n7);
\end{tikzpicture}



\end{tabular}

\end{document}