How may I put labels on the corners/vertices of a cube?

Question

I have a cube as per the answer to my question How may I put arrows along some edges of a cube?. Now I want to label the 8 corners/vertices with labels like $\mathbf{O}\lnot \lmathbf{B}\lnot q$.How can I best achieve this?

Answer 1

The coordinates for the lower face are named A1,...,A4 and those for the upper face are B1,...,B4. You can simply put \nodes at those coordinates with the desired text; a little example; I used A,B,...,H as labels, but you can use whatever text you want:

\documentclass[border=5pt]{standalone}
\usepackage{tikz}

\definecolor{myred}{RGB}{183,18,52}
\definecolor{myyellow}{RGB}{254,213,1}
\definecolor{myblue}{RGB}{0,80,198}
\definecolor{mygreen}{RGB}{0,155,72}

\begin{document}

\begin{tikzpicture}[
  line join=round,
  y={(-0.86cm,0.36cm)},x={(1cm,0.36cm)}, z={(0cm,1cm)},
  arr/.style={-latex,ultra thick,line cap=round,shorten <= 1.5pt}
]
\def\Side{2}
\coordinate (A1) at (0,0,0);
\coordinate (A2) at (0,\Side,0);
\coordinate (A3) at (\Side,\Side,0);
\coordinate (A4) at (\Side,0,0);
\coordinate (B1) at (0,0,\Side);
\coordinate (B2) at (0,\Side,\Side);
\coordinate (B3) at (\Side,\Side,\Side);
\coordinate (B4) at (\Side,0,\Side);

\fill[myyellow] (A2) -- (A3) -- (B3) -- (B2) -- cycle;
\fill[mygreen]  (A2) -- (A3) -- (A4) -- (A1) -- cycle;
\fill[myred](A3) -- (B3) -- (B4) -- (A4) -- cycle;
\fill[myblue]   (A1) -- (A2) -- (B2) -- (B1) -- cycle;

\draw (A2) -- (A1) -- (A4);
\draw (B2) -- (B1) -- (B4) -- (B3) -- cycle;
\draw (A1) -- (B1);
\draw (A2) -- (B2);
\draw (A4) -- (B4);

\draw[thin] (A3) -- (B3);
\draw[thin] (A3) -- (A4);

%If you want to see the names of the vertices
%\foreach \Value in {1,...,4}
%{
%  \node at (A\Value) {A\Value};
%  \node at (B\Value) {B\Value};
%}

\path[arr] 
  (A1) edge (A2)
  (B2) edge (A2)
  (B1) edge (B2)
  (B1) edge (A1)
  (B4) edge (A4)
  (B3) edge (A3)
  (B4) edge (B3)
  (A4) edge (A3);

\node[below] at (A1) {$A$};
\node[below] at (A2) {$B$};
\node[below] at (A3) {$C$};
\node[below] at (A4) {$D$};
\node[above] at (B1) {$E$};
\node[above] at (B2) {$F$};
\node[above] at (B3) {$G$};
\node[above] at (B4) {$H$};
\end{tikzpicture}

\end{document}

I also changed a little the code making the size dependent of \Size; change according to your needs.